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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Bohr. Omrp.</journal-id>
<journal-title>BOHR International Journal of Operations Management Research and Practices</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Bohr. Omrp.</abbrev-journal-title>
<issn pub-type="epub">2583-6420</issn>
<publisher>
<publisher-name>BOHR</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.54646/bijomrp.2023.18</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Research</subject>
</subj-group>
</article-categories>
<title-group>
<article-title>Applying Lean Six Sigma to improve garment production processes-A case study</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name><surname>Nhu</surname> <given-names>Phong Nguyen</given-names></name>
<xref ref-type="corresp" rid="c001"><sup>&#x002A;</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Huu</surname> <given-names>Phuc Nguyen</given-names></name>
</contrib>
<contrib contrib-type="author">
<name><surname>Nam</surname> <given-names>Phong Thieu</given-names></name>
</contrib>
<contrib contrib-type="author">
<name><surname>Dang</surname> <given-names>Quang Nguyen</given-names></name>
</contrib>
</contrib-group>
<aff><institution>Industrial and Systems Engineering, Ho Chi Minh City University of Technology (HCMUT), National University</institution>, <addr-line>Ho Chi Minh City</addr-line>, <country>Vietnam</country></aff>
<author-notes>
<corresp id="c001">&#x002A;Correspondence: Phong Nguyen Nhu, <email>nnphong@hcmut.edu.vn</email></corresp>
</author-notes>
<pub-date pub-type="epub">
<day>30</day>
<month>08</month>
<year>2023</year>
</pub-date>
<volume>2</volume>
<issue>1</issue>
<fpage>53</fpage>
<lpage>63</lpage>
<history>
<date date-type="received">
<day>26</day>
<month>07</month>
<year>2023</year>
</date>
<date date-type="accepted">
<day>08</day>
<month>08</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x00A9; 2023 Nhu, Huu, Nam and Dang.</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Nhu, Huu, Nam and Dang</copyright-holder>
<license xlink:href="https://creativecommons.org/licenses/by-nc-nd/4.0/"><p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p></license>
</permissions>
<abstract>
<p>The company under study specializes in producing garment products. The production process of the company has so much waste, a long production time, a high cycle time, and a high defect rate, leading to low productivity, low quality, and late deliveries, affecting the competitive edge of the company. In this article we have discussed how Six Sigma can be applied to improve the company production process to reduce waste, the process production lead time, the cycle time, and the process defect rate and then to improve productivity and quality and finally increase the on-time delivery rate and the competitive edge of the company. The research methodology is based on Lean Six Sigma theory, with the platform of DMAIC procedure, including five steps: define, measure, analyze, improve, and control. The tools used in the steps of DMAIC procedure include cause and effect diagram, Pareto diagram, value stream management, work design, SMED, line balancing, Kanban systems, FIFO, autonomous maintenance, visual management, design of experiments, and control charts. After applying Lean Six Sigma tools, the company has reduced the production lead time by 89.21% from 279 to 30.1 min, reduced the production cycle time by 36% from 25 to 16 s, reduced the process defect rate by 37.45% from 14.9 to 9.32%, and then improved the on-time delivery rate.</p>
</abstract>
<kwd-group>
<kwd>Lean Six Sigma</kwd>
<kwd>DMAIC</kwd>
<kwd>SIPOC</kwd>
<kwd>cause and effect diagram CED</kwd>
<kwd>Pareto diagram</kwd>
<kwd>VSM</kwd>
<kwd>work design</kwd>
<kwd>SMED</kwd>
<kwd>line balancing</kwd>
<kwd>Kanban</kwd>
<kwd>FIFO</kwd>
<kwd>AM</kwd>
<kwd>visual management</kwd>
<kwd>DOE</kwd>
<kwd>control charts</kwd>
</kwd-group>
<counts>
<fig-count count="21"/>
<table-count count="30"/>
<equation-count count="3"/>
<ref-count count="6"/>
<page-count count="11"/>
<word-count count="4890"/>
</counts>
</article-meta>
</front>
<body>
<sec id="S1" sec-type="intro">
<title>1. Introduction</title>
<p>The company under study specializes in producing garment products. The main products of the company include men vestons, jackets, shirts, and trousers. According to statistics, the average on-time delivery percentage of the company in the past is 85%. It is low and does not meet the expectation of the company leaders. Through analysis, the cause of the problem is due to a long production time, low productivity, and a high defect rate.</p>
<p>This paper uses Lean Six Sigma tools to solve the problem of low on-time delivery through reducing the production time, increasing productivity, and improving the defect rate. The research is carried out on a product with the highest demand on a line of the shirt garment production area.</p>
</sec>
<sec id="S2">
<title>2. Literature review and research methodology</title>
<p>Lean Six Sigma is the fastest way to improve time and quality; therefore, we can minimize operation costs, minimize capital investment, increase value, and increase customer satisfaction. Lean Six Sigma is an integrated approach of Lean Manufacturing and Six Sigma. If we use Lean Manufacturing alone, we cannot control the process and solve quality problems in the best way. If we use only Six Sigma, we cannot minimize the time, cost, and capital investment. Simultaneous use of Lean and Six Sigma tools helps us achieve high quality, high-speed production, and low cost with breakthrough improvements in a short time. Lean Six Sigma gives faster results than either Six Sigma or Lean Manufacturing.</p>
<p>The research methodology is based on Lean Six Sigma theory, with the platform of DMAIC procedure (<xref ref-type="bibr" rid="B1">1</xref>), including five steps:</p>
<list list-type="simple">
<list-item>
<label>(1).</label>
<p>Define</p>
</list-item>
<list-item>
<label>(2).</label>
<p>Measure</p>
</list-item>
<list-item>
<label>(3).</label>
<p>Analyze</p>
</list-item>
<list-item>
<label>(4).</label>
<p>Improve</p>
</list-item>
<list-item>
<label>(5).</label>
<p>Control.</p>
</list-item>
</list>
<p>The define step defines the problem, objective, and scope of the study. In this step, the objective is defined qualitatively. The measurement step collects data, maps the current state value stream, identifies current performance indexes, and sets objectives quantitatively. The analysis step finds out the root causes of the problem and then identifies solutions and tools to solve the problems. The improvement step implements solutions to improve the process in order to achieve the objectives. The control step controls the improved process to maintain improved results.</p>
<p>The tools used in the steps of DMAIC procedure include value stream management, work design, SMED, line balancing, Kanban, FIFO, autonomous maintenance, visual management, design of experiments (DOE), and control charts. All tools used can be found in references (<xref ref-type="bibr" rid="B1">1</xref>) and (<xref ref-type="bibr" rid="B2">2</xref>), along with articles (<xref ref-type="bibr" rid="B3">3</xref>) and (<xref ref-type="bibr" rid="B4">4</xref>).</p>
</sec>
<sec id="S3">
<title>3. Define</title>
<p>The problem that the company encounters is a low percentage of on-time delivery. The average on-time delivery percentage of the company is 85% and needs to be improved. Through analysis, the cause of the problem is due to a long production lead time, low productivity, a high cycle time, or a high defect per unit rate. The research is carried out on a product family with the highest demand (<xref ref-type="bibr" rid="B5">5</xref>, <xref ref-type="bibr" rid="B6">6</xref>). The SIPOC diagram of the product family is as in <xref ref-type="fig" rid="F1">Figure 1</xref>.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption><p>SIPOC diagram.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="bijomrp-2023-18-g001.tif"/>
</fig>
<p>This paper focuses on the process of back finish with six stations as in <xref ref-type="table" rid="T1">Table 1</xref>.</p>
<table-wrap position="float" id="T1">
<label>TABLE 1</label>
<caption><p>Stations in back finish process.</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td valign="top" align="left">Station</td>
<td valign="top" align="left">Station name</td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">W1</td>
<td valign="top" align="left">Yoke assembly</td>
</tr>
<tr>
<td valign="top" align="left">W2</td>
<td valign="top" align="left">Press cut yoke</td>
</tr>
<tr>
<td valign="top" align="left">W3</td>
<td valign="top" align="left">Labeling</td>
</tr>
<tr>
<td valign="top" align="left">W4</td>
<td valign="top" align="left">Shoulder assembly</td>
</tr>
<tr>
<td valign="top" align="left">W5</td>
<td valign="top" align="left">Collar assembly</td>
</tr>
<tr>
<td valign="top" align="left">W6</td>
<td valign="top" align="left">Collar edging</td>
</tr>
</tbody>
</table></table-wrap>
<p>The defined stage is summarized in the project charter as in <xref ref-type="table" rid="T2">Table 2</xref>.</p>
<table-wrap position="float" id="T2">
<label>TABLE 2</label>
<caption><p>Project charter.</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td valign="top" align="left" colspan="2">Project charter</td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Research</td>
<td valign="top" align="left">Applying Lean Six Sigma to improve the garment production process of product family X.</td>
</tr>
<tr>
<td valign="top" align="left">Problem</td>
<td valign="top" align="left">Low on-time delivery rate.</td>
</tr>
<tr>
<td valign="top" align="left">Objectives</td>
<td valign="top" align="left">Increase the on-time delivery rate by - Reducing the lead time. - Increasing productivity. - Reducing the defects of the garment production process.</td>
</tr>
<tr>
<td valign="top" align="left">Scope</td>
<td valign="top" align="left">X shirt, back finish process.</td>
</tr>
<tr>
<td valign="top" align="left">VOC</td>
<td valign="top" align="left">Increase the on-time delivery rate.</td>
</tr>
<tr>
<td valign="top" align="left">CTQ</td>
<td valign="top" align="left">Defect per unit, lead time, cycle time.</td>
</tr>
</tbody>
</table></table-wrap>
</sec>
<sec id="S4">
<title>4. Measure</title>
<p>The collected data in the back finish process, including number of workers n, change over time (COT), cycle time (CT), lead time (LT), and defect per unit (DPU), are shown in <xref ref-type="table" rid="T3">Table 3</xref>.</p>
<table-wrap position="float" id="T3">
<label>TABLE 3</label>
<caption><p>Collected data of back finish process.</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td valign="top" align="left">Station</td>
<td valign="top" align="center">n</td>
<td valign="top" align="center">COT (min)</td>
<td valign="top" align="center">CT (s)</td>
<td valign="top" align="center">LT (s)</td>
<td valign="top" align="center">DPU (%)</td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">W1</td>
<td valign="top" align="center">2</td>
<td valign="top" align="center">65</td>
<td valign="top" align="center">14.5</td>
<td valign="top" align="center">29</td>
<td valign="top" align="center">4.38</td>
</tr>
<tr>
<td valign="top" align="left">W2</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">17</td>
<td valign="top" align="center">17</td>
<td valign="top" align="center">0</td>
</tr>
<tr>
<td valign="top" align="left">W3</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">17</td>
<td valign="top" align="center">17</td>
<td valign="top" align="center">0.66</td>
</tr>
<tr>
<td valign="top" align="left">W4</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">65</td>
<td valign="top" align="center">25</td>
<td valign="top" align="center">25</td>
<td valign="top" align="center">4.65</td>
</tr>
<tr>
<td valign="top" align="left">W5</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">65</td>
<td valign="top" align="center">9</td>
<td valign="top" align="center">27</td>
<td valign="top" align="center">1.66</td>
</tr>
<tr>
<td valign="top" align="left">W6</td>
<td valign="top" align="center">2</td>
<td valign="top" align="center">65</td>
<td valign="top" align="center">18</td>
<td valign="top" align="center">36</td>
<td valign="top" align="center">3.51</td>
</tr>
</tbody>
</table></table-wrap>
<p>Currently, the company works 6 days/week, 1 shift/day, 8 h/shift. The average break time is 40 min/day. The average COT is 65 min/day. The available producing time is as follows:</p>
<disp-formula id="S4.Ex1">
<mml:math id="M1">
<mml:mrow>
<mml:mpadded width="+3.3pt">
<mml:mi>APT</mml:mi>
</mml:mpadded>
<mml:mo rspace="5.8pt">=</mml:mo>
<mml:mrow>
<mml:mrow>
<mml:mpadded width="+3.3pt">
<mml:mn>8</mml:mn>
</mml:mpadded>
<mml:mo rspace="5.8pt">&#x00D7;</mml:mo>
<mml:mn>60</mml:mn>
</mml:mrow>
<mml:mo>-</mml:mo>
<mml:mn>40</mml:mn>
<mml:mo>-</mml:mo>
<mml:mpadded width="+3.3pt">
<mml:mn>65</mml:mn>
</mml:mpadded>
</mml:mrow>
<mml:mo rspace="5.8pt">=</mml:mo>
<mml:mrow>
<mml:mn>375</mml:mn>
<mml:mo>&#x2062;</mml:mo>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mi>min</mml:mi>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
<p>with the demand of 1500 pcs/day. The talk time TT is calculated as follows:</p>
<disp-formula id="S4.Ex2">
<mml:math id="M3">
<mml:mrow>
<mml:mpadded width="+3.3pt">
<mml:mi>TT</mml:mi>
</mml:mpadded>
<mml:mo rspace="5.8pt">=</mml:mo>
<mml:mrow>
<mml:mrow>
<mml:mpadded width="+3.3pt">
<mml:mn>375</mml:mn>
</mml:mpadded>
<mml:mo rspace="5.8pt">&#x00D7;</mml:mo>
<mml:mn>60</mml:mn>
</mml:mrow>
<mml:mo>/</mml:mo>
<mml:mpadded width="+3.3pt">
<mml:mn>1500</mml:mn>
</mml:mpadded>
</mml:mrow>
<mml:mo rspace="5.8pt">=</mml:mo>
<mml:mrow>
<mml:mn>15</mml:mn>
<mml:mo>&#x2062;</mml:mo>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mi mathvariant="normal">s</mml:mi>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
<p>Work in process inventory WIP and time in process TIP are calculated and shown in <xref ref-type="table" rid="T4">Table 4</xref>.</p>
<table-wrap position="float" id="T4">
<label>TABLE 4</label>
<caption><p>Data of WIP and TIP.</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td valign="top" align="left">WIP</td>
<td valign="top" align="center">WIP</td>
<td valign="top" align="center">TIP (min)</td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">WIP before W1</td>
<td valign="top" align="center">50</td>
<td valign="top" align="center">725</td>
</tr>
<tr>
<td valign="top" align="left">WIP between W1 and W2</td>
<td valign="top" align="center">112</td>
<td valign="top" align="center">1904</td>
</tr>
<tr>
<td valign="top" align="left">WIP between W2 and W3</td>
<td valign="top" align="center">16</td>
<td valign="top" align="center">272</td>
</tr>
<tr>
<td valign="top" align="left">WIP between W3 and W4</td>
<td valign="top" align="center">208</td>
<td valign="top" align="center">5200</td>
</tr>
<tr>
<td valign="top" align="left">WIP between W4 and W5</td>
<td valign="top" align="center">11</td>
<td valign="top" align="center">99</td>
</tr>
<tr>
<td valign="top" align="left">WIP between W5 and W6</td>
<td valign="top" align="center">283</td>
<td valign="top" align="center">5094</td>
</tr>
<tr>
<td valign="top" align="left">WIP after W6</td>
<td valign="top" align="center">25</td>
<td valign="top" align="center">411</td>
</tr>
<tr>
<td valign="top" align="left">Total</td>
<td/>
<td valign="top" align="center">13705</td>
</tr>
</tbody>
</table></table-wrap>
<p>With the data above, the current state map of the process is as in <xref ref-type="fig" rid="F2">Figure 2</xref>.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption><p>Current value stream mapping.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="bijomrp-2023-18-g002.tif"/>
</fig>
<p>From the map, the current indexes, their values, and performance assessment are as in <xref ref-type="table" rid="T5">Table 5</xref>.</p>
<table-wrap position="float" id="T5">
<label>TABLE 5</label>
<caption><p>Current indexes.</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td valign="top" align="left">Index</td>
<td valign="top" align="center">Values</td>
<td valign="top" align="left">Assessment</td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">LT (min)</td>
<td valign="top" align="center">279</td>
<td valign="top" align="left">Rather high and need to be reduced</td>
</tr>
<tr>
<td valign="top" align="left">PCE (%)</td>
<td valign="top" align="center">0.906</td>
<td valign="top" align="left">Very low due to waste, need to be increased.</td>
</tr>
<tr>
<td valign="top" align="left">CT (s)</td>
<td valign="top" align="center">25</td>
<td valign="top" align="left">Not meet TTc, need to be reduced</td>
</tr>
<tr>
<td valign="top" align="left">DPU (%)</td>
<td valign="top" align="center">14.9</td>
<td valign="top" align="left">Rather high and need to be reduced</td>
</tr>
</tbody>
</table></table-wrap>
<p>The objectives of the research are set as in <xref ref-type="table" rid="T6">Table 6</xref>.</p>
<table-wrap position="float" id="T6">
<label>TABLE 6</label>
<caption><p>Objectives of research.</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td valign="top" align="left">Index</td>
<td valign="top" align="center">Current value</td>
<td valign="top" align="center">Objective</td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">LT (min)</td>
<td valign="top" align="center">279</td>
<td valign="top" align="center">30</td>
</tr>
<tr>
<td valign="top" align="left">CT (s)</td>
<td valign="top" align="center">25</td>
<td valign="top" align="center">16</td>
</tr>
<tr>
<td valign="top" align="left">DPU (%)</td>
<td valign="top" align="center">14.9</td>
<td valign="top" align="center">10</td>
</tr>
</tbody>
</table></table-wrap>
</sec>
<sec id="S5">
<title>5. Analyze</title>
<sec id="S5.SS1">
<title>5.1. Analyze the long-time problem</title>
<p>The long-time problems are demonstrated by long LT and long CT, exceeding the TT. The balance chart is as in <xref ref-type="fig" rid="F3">Figure 3</xref>.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption><p>Current balance chart.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="bijomrp-2023-18-g003.tif"/>
</fig>
<p>The process is unbalanced, leading to the increase of WIP inventory, causing long LT. Besides, CT of the process is 25 s, higher than TT, which is 15 s; the current production rate does not meet the demand rate. The causes of the problem are analyzed through the fish bone diagram as in <xref ref-type="fig" rid="F4">Figure 4</xref>.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption><p>The fish bone diagram shows the causes of long-time problems.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="bijomrp-2023-18-g004.tif"/>
</fig>
<p>From the diagram, the causes, solutions, and solving tools are demonstrated in <xref ref-type="table" rid="T7">Table 7</xref>.</p>
<table-wrap position="float" id="T7">
<label>TABLE 7</label>
<caption><p>Solutions and tools for problems.</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td valign="top" align="left">Problems</td>
<td valign="top" align="left">Causes</td>
<td valign="top" align="left">Solutions</td>
<td valign="top" align="left">Tools</td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Long LT</td>
<td valign="top" align="left">Waste in working motion</td>
<td valign="top" align="left">Eliminate waste in motion</td>
<td valign="top" align="left">Work design</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left">High WIP</td>
<td valign="top" align="left">Balance the line</td>
<td valign="top" align="left">Line balancing</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left">WIP out of control</td>
<td valign="top" align="left">Control the WIP inventory</td>
<td valign="top" align="left">Kanban, FIFO</td>
</tr>
<tr>
<td valign="top" align="left">CT &#x003E; TT</td>
<td valign="top" align="left">Waste in working motion</td>
<td valign="top" align="left">Eliminate waste in motion</td>
<td valign="top" align="left">Work design</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left">Work elements not distributed evenly</td>
<td valign="top" align="left">Reallocate work elements among stations</td>
<td valign="top" align="left">Line balancing</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left">Long COT</td>
<td valign="top" align="left">Reduce the COT</td>
<td valign="top" align="left">SMED</td>
</tr>
</tbody>
</table></table-wrap>
</sec>
<sec id="S5.SS2">
<title>5.2. Analyze the high-defect problem</title>
<p>The causes of high-DPU problems are analyzed through the fish bone diagram as in <xref ref-type="fig" rid="F5">Figure 5</xref>.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption><p>The fish bone diagram shows the causes of defect problems.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="bijomrp-2023-18-g005.tif"/>
</fig>
<p>The Pareto charts for the causes are as in <xref ref-type="fig" rid="F6">Figure 6</xref>.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption><p>The Pareto chart analyzes the causes of high-defect problems.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="bijomrp-2023-18-g006.tif"/>
</fig>
<p>The fish bone diagram for the <italic>skip stitch shoulder</italic> effect is as in <xref ref-type="fig" rid="F7">Figure 7</xref>.</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption><p>The fish bone diagram shows the causes of skip stitch shoulder defects.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="bijomrp-2023-18-g007.tif"/>
</fig>
<p>The fish bone diagram for the <italic>skip stitch yoke</italic> effect is as in <xref ref-type="fig" rid="F8">Figure 8</xref>.</p>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption><p>The fish bone diagram shows the causes of skip stitch yoke defects.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="bijomrp-2023-18-g008.tif"/>
</fig>
<p>From the fish bone diagrams, the causes, solutions, and solving tools for skip stitch shoulder and yoke defects are presented in <xref ref-type="table" rid="T8">Table 8</xref>.</p>
<table-wrap position="float" id="T8">
<label>TABLE 8</label>
<caption><p>Solutions and tools for skip stitch shoulder and yoke.</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td valign="top" align="left">Causes</td>
<td valign="top" align="left">Solutions</td>
<td valign="top" align="left">Tools</td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">The speed of the needle and rotary hook does not match</td>
<td valign="top" align="left">Define a suitable speed for the needle and rotary hook</td>
<td valign="top" align="left">Design of experiments</td>
</tr>
<tr>
<td valign="top" align="left">The stitch&#x2019;s tension level is not suitable</td>
<td valign="top" align="left">Adjust the stitch&#x2019;s tension level</td>
<td valign="top" align="left"/></tr>
<tr>
<td valign="top" align="left">Amount of taken thread is not suitable</td>
<td valign="top" align="left">Adjust a suitable amount of taken thread</td>
<td valign="top" align="left"/></tr>
<tr>
<td valign="top" align="left">The distance of the needle and the rotary hook is not suitable</td>
<td valign="top" align="left">Adjust a suitable distance of the needle and the rotary hook</td>
<td valign="top" align="left"/></tr>
<tr>
<td valign="top" align="left">The presser foot is not tight</td>
<td valign="top" align="left">Check and tighten the presser foot</td>
<td valign="top" align="left">Autonomous maintenance</td>
</tr>
<tr>
<td valign="top" align="left">Blunt or broken hooks</td>
<td valign="top" align="left">Check and replace hooks</td>
<td valign="top" align="left"/></tr>
<tr>
<td valign="top" align="left">Blunt or broken needles</td>
<td valign="top" align="left">Check and replace needles</td>
<td valign="top" align="left"/></tr>
<tr>
<td valign="top" align="left">The needle plate got scratched</td>
<td valign="top" align="left">Check and use a sand-papering needle plate</td>
<td valign="top" align="left"/></tr>
<tr>
<td valign="top" align="left">Old and low-quality thread</td>
<td valign="top" align="left">Sort out threads depending on their expiration</td>
<td valign="top" align="left">Thread storage system design</td>
</tr>
<tr>
<td valign="top" align="left">The needle size is not appropriate</td>
<td valign="top" align="left">Select the suitable needle size</td>
<td valign="top" align="left">Visualization</td>
</tr>
</tbody>
</table></table-wrap>
<p>The fish bone diagram for the broken stitch shoulder defects is as in <xref ref-type="fig" rid="F9">Figure 9</xref>.</p>
<fig id="F9" position="float">
<label>FIGURE 9</label>
<caption><p>The fish bone diagram shows the causes of broken stitch shoulder defects.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="bijomrp-2023-18-g009.tif"/>
</fig>
<p>From the fish bone diagrams, the causes, solutions, and solving tools for broken stitch shoulder defects are presented in <xref ref-type="table" rid="T9">Table 9</xref>.</p>
<table-wrap position="float" id="T9">
<label>TABLE 9</label>
<caption><p>Solutions and tools for causes of defects.</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td valign="top" align="left">Causes</td>
<td valign="top" align="left">Solutions</td>
<td valign="top" align="left">Tools</td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">The stitch&#x2019;s tension level is not suitable</td>
<td valign="top" align="left">Adjust the stitch&#x2019;s tension level</td>
<td valign="top" align="left">Design of experiments</td>
</tr>
<tr>
<td valign="top" align="left">The speed of the needle and rotary hook does not match</td>
<td valign="top" align="left">Define a suitable speed for the needle and rotary hook</td>
<td valign="top" align="left"/></tr>
<tr>
<td valign="top" align="left">Scratched thread guild</td>
<td valign="top" align="left">Check and use a sand-papering thread guild</td>
<td valign="top" align="left">Autonomous maintenance</td>
</tr>
<tr>
<td valign="top" align="left">Needle plate got scratched</td>
<td valign="top" align="left">Check and use a sand-papering needle plate</td>
<td valign="top" align="left"/></tr>
<tr>
<td valign="top" align="left">Blunt or broken needles</td>
<td valign="top" align="left">Check and replace needles</td>
<td valign="top" align="left"/></tr>
<tr>
<td valign="top" align="left">Assemble the needle incorrectly</td>
<td valign="top" align="left">Check needle installation and give installation instruction</td>
<td valign="top" align="left"/></tr>
<tr>
<td valign="top" align="left">Low-quality thread</td>
<td valign="top" align="left">Sort out threads depending on their expiration</td>
<td valign="top" align="left">Thread storage system design</td>
</tr>
<tr>
<td valign="top" align="left">The needle size is not appropriate</td>
<td valign="top" align="left">Select the suitable needle size</td>
<td valign="top" align="left">Visualization</td>
</tr>
</tbody>
</table></table-wrap>
</sec>
</sec>
<sec id="S6">
<title>6. Improve</title>
<sec id="S6.SS1">
<title>6.1. Quick change over SMED</title>
<p>Change over time needs to be reduced to lift up TT. Based on (<xref ref-type="bibr" rid="B2">2</xref>), SMED is used by the following steps.</p>
<p>Step 1: Identify time elements.</p>
<p>Elements and their time are collected, as in <xref ref-type="table" rid="T10">Table 10</xref>.</p>
<table-wrap position="float" id="T10">
<label>TABLE 10</label>
<caption><p>Time of elements.</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td valign="top" align="left">Elements</td>
<td valign="top" align="center">Time (s)</td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Changing thread</td>
<td valign="top" align="center">149</td>
</tr>
<tr>
<td valign="top" align="left">Changing needle</td>
<td valign="top" align="center">59</td>
</tr>
<tr>
<td valign="top" align="left">Positioning needle</td>
<td valign="top" align="center">116</td>
</tr>
<tr>
<td valign="top" align="left">Cleaning machine</td>
<td valign="top" align="center">302</td>
</tr>
<tr>
<td valign="top" align="left">Changing presser foot</td>
<td valign="top" align="center">125</td>
</tr>
<tr>
<td valign="top" align="left">Getting required resources</td>
<td valign="top" align="center">598</td>
</tr>
<tr>
<td valign="top" align="left">Returning previous resources</td>
<td valign="top" align="center">605</td>
</tr>
<tr>
<td valign="top" align="left">Getting instruction for new order</td>
<td valign="top" align="center">124</td>
</tr>
<tr>
<td valign="top" align="left">Preparing required documents</td>
<td valign="top" align="center">55</td>
</tr>
<tr>
<td valign="top" align="left">Preparing material</td>
<td valign="top" align="center">783</td>
</tr>
<tr>
<td valign="top" align="left">Running first test</td>
<td valign="top" align="center">301</td>
</tr>
<tr>
<td valign="top" align="left">Adjusting thread tension</td>
<td valign="top" align="center">183</td>
</tr>
<tr>
<td valign="top" align="left">Adjusting rotary hook</td>
<td valign="top" align="center">329</td>
</tr>
<tr>
<td valign="top" align="left">Adjusting sewing step</td>
<td valign="top" align="center">176</td>
</tr>
<tr>
<td valign="top" align="left">Total</td>
<td valign="top" align="center">3905</td>
</tr>
</tbody>
</table></table-wrap>
<p>Step 2: Separate external elements</p>
<p>The internal and external elements are separated as in <xref ref-type="table" rid="T11">Table 11</xref>.</p>
<table-wrap position="float" id="T11">
<label>TABLE 11</label>
<caption><p>Separate external elements.</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td valign="top" align="center" colspan="2">Internal<hr/></td>
<td valign="top" align="center" colspan="2">External<hr/></td>
</tr>
<tr>
<td valign="top" align="left">Elements</td>
<td valign="top" align="center">Time (s)</td>
<td valign="top" align="left">Elements</td>
<td valign="top" align="center">Time (s)</td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Changing thread</td>
<td valign="top" align="center">149</td>
<td valign="top" align="left">Getting required resources</td>
<td valign="top" align="center">598</td>
</tr>
<tr>
<td valign="top" align="left">Changing needle</td>
<td valign="top" align="center">59</td>
<td valign="top" align="left">Returning previous resources</td>
<td valign="top" align="center">605</td>
</tr>
<tr>
<td valign="top" align="left">Positioning needle</td>
<td valign="top" align="center">116</td>
<td valign="top" align="left">Getting instruction for new order</td>
<td valign="top" align="center">124</td>
</tr>
<tr>
<td valign="top" align="left">Cleaning machine</td>
<td valign="top" align="center">302</td>
<td valign="top" align="left">Preparing required documents</td>
<td valign="top" align="center">55</td>
</tr>
<tr>
<td valign="top" align="left">Changing presser foot</td>
<td valign="top" align="center">125</td>
<td valign="top" align="left">Preparing material</td>
<td valign="top" align="center">783</td>
</tr>
<tr>
<td valign="top" align="left">&#x22EF;</td>
<td valign="top" align="center">&#x22EF;</td>
<td valign="top" align="left">&#x22EF;</td>
<td valign="top" align="center">&#x22EF;</td>
</tr>
<tr>
<td valign="top" align="left">Total</td>
<td valign="top" align="center">1740</td>
<td valign="top" align="left">Total</td>
<td valign="top" align="center">2165</td>
</tr>
</tbody>
</table></table-wrap>
<p>Step 3: Convert internal elements to external elements.</p>
<p>The internal elements are converted to external elements as in <xref ref-type="table" rid="T12">Table 12</xref>.</p>
<table-wrap position="float" id="T12">
<label>TABLE 12</label>
<caption><p>Convert internal elements to external.</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td valign="top" align="center" colspan="2">Internal<hr/></td>
<td valign="top" align="center" colspan="2">External<hr/></td>
</tr>
<tr>
<td valign="top" align="left">Elements</td>
<td valign="top" align="center">Time (s)</td>
<td valign="top" align="left">Elements</td>
<td valign="top" align="center">Time (s)</td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Changing thread</td>
<td valign="top" align="center">119</td>
<td valign="top" align="left">Putting thread spool on rack</td>
<td valign="top" align="center">30</td>
</tr>
<tr>
<td valign="top" align="left">Changing needle</td>
<td valign="top" align="center">59</td>
<td valign="top" align="left">Getting required resources</td>
<td valign="top" align="center">598</td>
</tr>
<tr>
<td valign="top" align="left">Positioning needle</td>
<td valign="top" align="center">116</td>
<td valign="top" align="left">Returning previous resources</td>
<td valign="top" align="center">605</td>
</tr>
<tr>
<td valign="top" align="left">Cleaning machine</td>
<td valign="top" align="center">302</td>
<td valign="top" align="left">Getting instruction for new order</td>
<td valign="top" align="center">124</td>
</tr>
<tr>
<td valign="top" align="left">Changing presser foot</td>
<td valign="top" align="center">125</td>
<td valign="top" align="left">Preparing required documents</td>
<td valign="top" align="center">55</td>
</tr>
<tr>
<td valign="top" align="left">Running first test</td>
<td valign="top" align="center">301</td>
<td valign="top" align="left">Preparing material</td>
<td valign="top" align="center">783</td>
</tr>
<tr>
<td valign="top" align="left">&#x22EF;</td>
<td valign="top" align="center">&#x22EF;</td>
<td valign="top" align="left">&#x22EF;</td>
<td valign="top" align="center">&#x22EF;</td>
</tr>
<tr>
<td valign="top" align="left">Total</td>
<td valign="top" align="center">1710</td>
<td valign="top" align="left">Total</td>
<td valign="top" align="center">2195</td>
</tr>
</tbody>
</table></table-wrap>
<p>Step 4: Streamline remaining elements</p>
<p>The remaining elements are streamlined as in <xref ref-type="table" rid="T13">Table 13</xref>.</p>
<table-wrap position="float" id="T13">
<label>TABLE 13</label>
<caption><p>Streamline remaining elements.</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td valign="top" align="center" colspan="2">Internal<hr/></td>
<td valign="top" align="center" colspan="2">External<hr/></td>
</tr>
<tr>
<td valign="top" align="left">Elements</td>
<td valign="top" align="center">Time (s)</td>
<td valign="top" align="left">Elements</td>
<td valign="top" align="center">Time (s)</td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Changing thread</td>
<td valign="top" align="center">119</td>
<td valign="top" align="left">Putting thread spool on rack</td>
<td valign="top" align="center">30</td>
</tr>
<tr>
<td valign="top" align="left">Changing needle</td>
<td valign="top" align="center">59</td>
<td valign="top" align="left">Getting required resources</td>
<td valign="top" align="center">598</td>
</tr>
<tr>
<td valign="top" align="left">Positioning needle</td>
<td valign="top" align="center">72</td>
<td valign="top" align="left">Returning previous resources</td>
<td valign="top" align="center">605</td>
</tr>
<tr>
<td valign="top" align="left">Cleaning machine</td>
<td valign="top" align="center">302</td>
<td valign="top" align="left">Getting instruction for new order</td>
<td valign="top" align="center">124</td>
</tr>
<tr>
<td valign="top" align="left">Changing presser foot</td>
<td valign="top" align="center">125</td>
<td valign="top" align="left">Preparing required documents</td>
<td valign="top" align="center">55</td>
</tr>
<tr>
<td valign="top" align="left">Running first test</td>
<td valign="top" align="center">301</td>
<td valign="top" align="left">Preparing material</td>
<td valign="top" align="center">783</td>
</tr>
<tr>
<td valign="top" align="left">Adjusting thread tension</td>
<td valign="top" align="center">135</td>
<td/>
<td/>
</tr>
<tr>
<td valign="top" align="left">Adjusting rotary hook</td>
<td valign="top" align="center">157</td>
<td/>
<td/>
</tr>
<tr>
<td valign="top" align="left">Adjusting sewing step</td>
<td valign="top" align="center">95</td>
<td/>
<td/>
</tr>
<tr>
<td valign="top" align="left">Total</td>
<td valign="top" align="center">1240</td>
<td valign="top" align="left">Total</td>
<td valign="top" align="center">2195</td>
</tr>
</tbody>
</table></table-wrap>
<p>After using SMED, COT, APT, and TT change as in <xref ref-type="table" rid="T14">Table 14</xref>.</p>
<table-wrap position="float" id="T14">
<label>TABLE 14</label>
<caption><p>Comparison of parameters before and after applying SMED.</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td valign="top" align="left"></td>
<td valign="top" align="center">Before</td>
<td valign="top" align="center">After</td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">COT (s)</td>
<td valign="top" align="center">3905</td>
<td valign="top" align="center">1240</td>
</tr>
<tr>
<td valign="top" align="left">APT (s)</td>
<td valign="top" align="center">23,095</td>
<td valign="top" align="center">25,760</td>
</tr>
<tr>
<td valign="top" align="left">TT (s)</td>
<td valign="top" align="center">14.98</td>
<td valign="top" align="center">16.77</td>
</tr>
</tbody>
</table></table-wrap>
<p>The balance chart of the process after using SMED is as in <xref ref-type="fig" rid="F10">Figure 10</xref>.</p>
<fig id="F10" position="float">
<label>FIGURE 10</label>
<caption><p>Balance chart after applying SMED.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="bijomrp-2023-18-g010.tif"/>
</fig>
<p>The process CT is 25 s, still higher than TT. Work design needs to be used to reduce the CT of each station to meet the TT.</p>
</sec>
<sec id="S6.SS2">
<title>6.2. Work design</title>
<p>Collecting the working elements of each station and their processing time is as in <xref ref-type="table" rid="T15">Table 15</xref>.</p>
<table-wrap position="float" id="T15">
<label>TABLE 15</label>
<caption><p>Collected data of working elements.</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td valign="top" align="left">Station</td>
<td valign="top" align="center">No. of workers</td>
<td valign="top" align="left">Element</td>
<td valign="top" align="center">Time (s)</td>
<td valign="top" align="center">CT (s)</td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">W1</td>
<td valign="top" align="center">2</td>
<td valign="top" align="left">Yoke assembly + folding</td>
<td valign="top" align="center">23</td>
<td valign="top" align="center">14.5</td>
</tr>
<tr>
<td/>
<td/>
<td valign="top" align="left">Peel back</td>
<td valign="top" align="center">3</td>
<td/>
</tr>
<tr>
<td/>
<td/>
<td valign="top" align="left">Stitching size label</td>
<td valign="top" align="center">3</td>
<td/>
</tr>
<tr>
<td valign="top" align="left">W2</td>
<td valign="top" align="center">1</td>
<td valign="top" align="left">Press cut yoke</td>
<td valign="top" align="center">15</td>
<td valign="top" align="center">17</td>
</tr>
<tr>
<td/>
<td/>
<td valign="top" align="left">Check</td>
<td valign="top" align="center">1</td>
<td/>
</tr>
<tr>
<td/>
<td/>
<td valign="top" align="left">Mark shoulder</td>
<td valign="top" align="center">1</td>
<td/>
</tr>
<tr>
<td valign="top" align="left">W3</td>
<td valign="top" align="center">1</td>
<td valign="top" align="left">Stitch main label</td>
<td valign="top" align="center">6</td>
<td valign="top" align="center">17</td>
</tr>
<tr>
<td/>
<td/>
<td valign="top" align="left">Mark</td>
<td valign="top" align="center">3</td>
<td/>
</tr>
<tr>
<td/>
<td/>
<td valign="top" align="left">Wasted thread cutting</td>
<td valign="top" align="center">2</td>
<td/>
</tr>
<tr>
<td/>
<td/>
<td valign="top" align="left">Make button hole x 2</td>
<td valign="top" align="center">6</td>
<td/>
</tr>
<tr>
<td valign="top" align="left">W4</td>
<td valign="top" align="center">1</td>
<td valign="top" align="left">Shoulder assembly</td>
<td valign="top" align="center">25</td>
<td valign="top" align="center">25</td>
</tr>
<tr>
<td valign="top" align="left">W5</td>
<td valign="top" align="center">1</td>
<td valign="top" align="left">Neck assembly</td>
<td valign="top" align="center">27</td>
<td valign="top" align="center">9</td>
</tr>
<tr>
<td valign="top" align="left">W6</td>
<td valign="top" align="center">1</td>
<td valign="top" align="left">Collar edging</td>
<td valign="top" align="center">32</td>
<td valign="top" align="center">18</td>
</tr>
<tr>
<td/>
<td/>
<td valign="top" align="left">Wasted thread cutting</td>
<td valign="top" align="center">4</td>
<td/>
</tr>
</tbody>
</table></table-wrap>
<p>By analyzing and removing wasted motion, reallocating the work load of the right and left hands, designing support tools, and rearranging station layout, the results are that the CT reduced while the number of workers remained unchanged, as shown in <xref ref-type="table" rid="T16">Table 16</xref>.</p>
<table-wrap position="float" id="T16">
<label>TABLE 16</label>
<caption><p>Working elements after the improvement.</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td valign="top" align="left">Station</td>
<td valign="top" align="center">No. of workers</td>
<td valign="top" align="left">Element</td>
<td valign="top" align="center">Time (sec)</td>
<td valign="top" align="center">CT (sec)</td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">W1</td>
<td valign="top" align="center">2</td>
<td valign="top" align="left">Yoke assembly + folding</td>
<td valign="top" align="center">12</td>
<td valign="top" align="center">8</td>
</tr>
<tr>
<td/>
<td/>
<td valign="top" align="left">Peel back</td>
<td valign="top" align="center">2</td>
<td/>
</tr>
<tr>
<td/>
<td/>
<td valign="top" align="left">Stitching size label</td>
<td valign="top" align="center">2</td>
<td/>
</tr>
<tr>
<td valign="top" align="left">W2</td>
<td valign="top" align="center">1</td>
<td valign="top" align="left">Press cut yoke</td>
<td valign="top" align="center">12</td>
<td valign="top" align="center">14</td>
</tr>
<tr>
<td/>
<td/>
<td valign="top" align="left">Check</td>
<td valign="top" align="center">1</td>
<td/>
</tr>
<tr>
<td/>
<td/>
<td valign="top" align="left">Mark shoulder</td>
<td valign="top" align="center">1</td>
<td/>
</tr>
<tr>
<td valign="top" align="left">W3</td>
<td valign="top" align="center">1</td>
<td valign="top" align="left">Stitch main label</td>
<td valign="top" align="center">6</td>
<td valign="top" align="center">17</td>
</tr>
<tr>
<td/>
<td/>
<td valign="top" align="left">Mark</td>
<td valign="top" align="center">3</td>
<td/>
</tr>
<tr>
<td/>
<td/>
<td valign="top" align="left">Wasted thread cutting</td>
<td valign="top" align="center">2</td>
<td/>
</tr>
<tr>
<td/>
<td/>
<td valign="top" align="left">Make button hole x 2</td>
<td valign="top" align="center">6</td>
<td/>
</tr>
<tr>
<td valign="top" align="left">W4</td>
<td valign="top" align="center">1</td>
<td valign="top" align="left">Shoulder assembly</td>
<td valign="top" align="center">19</td>
<td valign="top" align="center">19</td>
</tr>
<tr>
<td valign="top" align="left">W5</td>
<td valign="top" align="center">1</td>
<td valign="top" align="left">Neck assembly</td>
<td valign="top" align="center">22.5</td>
<td valign="top" align="center">7.5</td>
</tr>
<tr>
<td valign="top" align="left">W6</td>
<td valign="top" align="center">1</td>
<td valign="top" align="left">Collar edging</td>
<td valign="top" align="center">29</td>
<td valign="top" align="center">16.5</td>
</tr>
<tr>
<td/>
<td/>
<td valign="top" align="left">Wasted thread cutting</td>
<td valign="top" align="center">4</td>
<td/>
</tr>
</tbody>
</table></table-wrap>
<p>The balance chart after using work design is as in <xref ref-type="fig" rid="F11">Figure 11</xref>.</p>
<fig id="F11" position="float">
<label>FIGURE 11</label>
<caption><p>Balance chart after applying work design.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="bijomrp-2023-18-g011.tif"/>
</fig>
<p>The process CT is now 19 s, which still exceeds the TT, 16.8 s. Line balancing is used to reallocate work load of each station to meet demand.</p>
</sec>
<sec id="S6.SS3">
<title>6.3. Line balancing</title>
<p>Applying the line balancing model in (<xref ref-type="bibr" rid="B3">3</xref>), we reallocate the work load and worker for the stations with constraints of the element order and the goal of meeting TT. The results are as in <xref ref-type="table" rid="T17">Table 17</xref>.</p>
<table-wrap position="float" id="T17">
<label>TABLE 17</label>
<caption><p>Working elements data.</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td valign="top" align="left">Station</td>
<td valign="top" align="left">Element</td>
<td valign="top" align="center">Time (s)</td>
<td valign="top" align="center">No. of workers</td>
<td valign="top" align="center">CT (s)</td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">W1</td>
<td valign="top" align="left">Yoke assembly + folding</td>
<td valign="top" align="center">12</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">16</td>
</tr>
<tr>
<td/>
<td valign="top" align="left">Peel back</td>
<td valign="top" align="center">2</td>
<td/>
<td/>
</tr>
<tr>
<td/>
<td valign="top" align="left">Stitching size label</td>
<td valign="top" align="center">2</td>
<td/>
<td/>
</tr>
<tr>
<td valign="top" align="left">W2</td>
<td valign="top" align="left">Press cut yoke</td>
<td valign="top" align="center">12</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">14</td>
</tr>
<tr>
<td/>
<td valign="top" align="left">Check</td>
<td valign="top" align="center">1</td>
<td/>
<td/>
</tr>
<tr>
<td/>
<td valign="top" align="left">Mark shoulder</td>
<td valign="top" align="center">1</td>
<td/>
<td/>
</tr>
<tr>
<td valign="top" align="left">W3</td>
<td valign="top" align="left">Stitch main label</td>
<td valign="top" align="center">6</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">15</td>
</tr>
<tr>
<td/>
<td valign="top" align="left">Mark</td>
<td valign="top" align="center">3</td>
<td/>
<td/>
</tr>
<tr>
<td/>
<td valign="top" align="left">Wasted thread cutting</td>
<td valign="top" align="center">6</td>
<td/>
<td/>
</tr>
<tr>
<td valign="top" align="left">W4</td>
<td valign="top" align="left">Make button hole x 2</td>
<td valign="top" align="center">2</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">14.5</td>
</tr>
<tr>
<td/>
<td valign="top" align="left">Shoulder assembly</td>
<td valign="top" align="center">19</td>
<td/>
<td/>
</tr>
<tr>
<td/>
<td valign="top" align="left">Neck assembly</td>
<td valign="top" align="center">22.5</td>
<td/>
<td/>
</tr>
<tr>
<td valign="top" align="left">W5</td>
<td valign="top" align="left">Collar edging</td>
<td valign="top" align="center">29</td>
<td valign="top" align="center">2</td>
<td valign="top" align="center">16.5</td>
</tr>
<tr>
<td/>
<td valign="top" align="left">Wasted thread cutting</td>
<td valign="top" align="center">4</td>
<td/>
<td/>
</tr>
</tbody>
</table></table-wrap>
<p>The balance chart after using line balancing is as in <xref ref-type="fig" rid="F12">Figure 12</xref>.</p>
<fig id="F12" position="float">
<label>FIGURE 12</label>
<caption><p>Balance chart after applying line balancing.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="bijomrp-2023-18-g012.tif"/>
</fig>
<p>The process CT now is 16.5 s, which meets the TT, 16.77 s. On the other hand, the number of workers has reduced to 8, the number of stations has reduced to 5, and the line balancing efficiency has increased to 92.12%. The process is more balanced, but we still have to control WIP inventory.</p>
</sec>
<sec id="S6.SS4">
<title>6.4. WIP inventory control</title>
<p>With reference to (<xref ref-type="bibr" rid="B1">1</xref>), in order to control WIP, Kanban systems would be placed between stations 2 and 3 and between stations 4 and 5. FIFO lanes would be placed between stations 1 and 2 and between stations 3 and 4.</p>
<p>Applying Kanban models in (<xref ref-type="bibr" rid="B1">1</xref>), the numbers of Kanban cards, N, are calculated, as in <xref ref-type="table" rid="T18">Table 18</xref>, with the demand D of 1500 products, a lot size Q of 5, and &#x03B1; = 0.1. The formula of N is as below:</p>
<disp-formula id="S6.Ex3">
<mml:math id="M5">
<mml:mrow>
<mml:mpadded width="+3.3pt">
<mml:mi>N</mml:mi>
</mml:mpadded>
<mml:mo rspace="5.8pt">=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:mi>L</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mpadded width="+3.3pt">
<mml:mn>1</mml:mn>
</mml:mpadded>
<mml:mo rspace="5.8pt">+</mml:mo>
<mml:mi mathvariant="normal">&#x03B1;</mml:mi>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mi>Q</mml:mi>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<table-wrap position="float" id="T18">
<label>TABLE 18</label>
<caption><p>Calculation of Kanban card quantity.</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td valign="top" align="left">Stations</td>
<td valign="top" align="center" colspan="4">LT = ST + PT + QT + MT<hr/></td>
<td valign="top" align="center">LT</td>
<td valign="top" align="center">N</td>
</tr>
<tr>
<td/>
<td valign="top" align="center">ST</td>
<td valign="top" align="center">PT</td>
<td valign="top" align="center">QT</td>
<td valign="top" align="center">MT</td>
<td/>
<td/>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">W2&#x2013;W3</td>
<td valign="top" align="center">23</td>
<td valign="top" align="center">75</td>
<td valign="top" align="center">15</td>
<td valign="top" align="center">20</td>
<td valign="top" align="center">0.0050</td>
<td valign="top" align="center">2</td>
</tr>
<tr>
<td valign="top" align="left">W4&#x2013;W5</td>
<td valign="top" align="center">16</td>
<td valign="top" align="center">82.5</td>
<td valign="top" align="center">15</td>
<td valign="top" align="center">20</td>
<td valign="top" align="center">0.0049</td>
<td valign="top" align="center">2</td>
</tr>
</tbody>
</table></table-wrap>
<p>According to models in (<xref ref-type="bibr" rid="B4">4</xref>), the FIFO lane sizes, S, are calculated as in <xref ref-type="table" rid="T19">Table 19</xref>.</p>
<table-wrap position="float" id="T19">
<label>TABLE 19</label>
<caption><p>Calculation of FIFO lane size.</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td valign="top" align="left" colspan="2">Stations</td>
<td valign="top" align="center">CT</td>
<td valign="top" align="center">Standard deviation</td>
<td valign="top" align="center">Processing time</td>
<td valign="top" align="center">S</td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">W1&#x2013;W2</td>
<td valign="top" align="center">W1</td>
<td valign="top" align="center">16</td>
<td valign="top" align="center">3.2</td>
<td valign="top" align="center">120 s</td>
<td valign="top" align="center">8</td>
</tr>
<tr>
<td/>
<td valign="top" align="center">W2</td>
<td valign="top" align="center">14</td>
<td valign="top" align="center">2.7</td>
<td/>
<td/>
</tr>
<tr>
<td valign="top" align="left">W3&#x2013;W4</td>
<td valign="top" align="center">W3</td>
<td valign="top" align="center">15</td>
<td valign="top" align="center">4.5</td>
<td valign="top" align="center">120 s</td>
<td valign="top" align="center">8</td>
</tr>
<tr>
<td/>
<td valign="top" align="center">W4</td>
<td valign="top" align="center">14.5</td>
<td valign="top" align="center">3.1</td>
<td/>
<td/>
</tr>
</tbody>
</table></table-wrap>
</sec>
<sec id="S6.SS5">
<title>6.5. Autonomous maintenance</title>
<p>In order to solve the causes of machine failures, machines have been restored to their basic conditions. AM activities are then established by the following steps.</p>
<p>Step 1: A standard checklist for routine cleaning, inspection, and lubrication activities is established as in <xref ref-type="table" rid="T20">Table 20</xref>.</p>
<table-wrap position="float" id="T20">
<label>TABLE 20</label>
<caption><p>Standard checklist for routine cleaning, inspection, and lubrication.</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td valign="top" align="left">Items inspected</td>
<td valign="top" align="left">Item pictures</td>
<td valign="top" align="left">Inspection objects</td>
<td valign="top" align="left">Tools</td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left" colspan="4"><bold>Symbols</bold> <inline-graphic xlink:href="bijomrp-2023-18-i001.jpg"/> Inspection <inline-graphic xlink:href="bijomrp-2023-18-i002.jpg"/> Cleaning <inline-graphic xlink:href="bijomrp-2023-18-i003.jpg"/> Lubrication</td>
</tr>
<tr>
<td valign="top" align="left">1/ Sewing needles</td>
<td valign="top" align="left"><inline-graphic xlink:href="bijomrp-2023-18-i004.jpg"/></td>
<td valign="top" align="left">Rust</td>
<td valign="top" align="left">Observe</td>
</tr>
<tr>
<td valign="top" align="left">2/ Rotary hooks</td>
<td valign="top" align="left"><inline-graphic xlink:href="bijomrp-2023-18-i005.jpg"/></td>
<td valign="top" align="left">Dusts Errors Lubricant Rust</td>
<td valign="top" align="left">Observe Lubricant Wiper Grinder brush</td>
</tr>
<tr>
<td valign="top" align="left">3/ Needle plate sets</td>
<td valign="top" align="left"><inline-graphic xlink:href="bijomrp-2023-18-i006.jpg"/></td>
<td valign="top" align="left">Dusts Errors Lubricant Rust</td>
<td valign="top" align="left">Observe Lubricant Wiper Grinder brush</td>
</tr>
<tr>
<td valign="top" align="left">4/ Feed dogs</td>
<td valign="top" align="left"><inline-graphic xlink:href="bijomrp-2023-18-i007.jpg"/></td>
<td valign="top" align="left">Dusts Errors Lubricant</td>
<td valign="top" align="left">Observe Lubricant Wiper Grinder brush</td>
</tr>
<tr>
<td valign="top" align="left">5/ Threads</td>
<td valign="top" align="left"><inline-graphic xlink:href="bijomrp-2023-18-i008.jpg"/></td>
<td valign="top" align="left">Errors</td>
<td valign="top" align="left">Observe</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Step 2: Establish needle and thread inspection standards as in <xref ref-type="table" rid="T21">Table 21</xref>.</p>
<table-wrap position="float" id="T21">
<label>TABLE 21</label>
<caption><p>Needle and thread inspection standards.</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td valign="top" align="left">Needle inspection</td>
<td valign="top" align="left">Inspection</td>
<td valign="top" align="left">Qualified</td>
<td valign="top" align="left">Unqualified</td>
<td valign="top" align="left">Solutions</td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Pinhead</td>
<td valign="top" align="left">Pinhead&#x2019;s sharpness</td>
<td valign="top" align="left">Normal</td>
<td valign="top" align="left">Curved or broken</td>
<td valign="top" align="left">Remove</td>
</tr>
<tr>
<td valign="top" align="left">Body</td>
<td valign="top" align="left">Straightness and roughness</td>
<td valign="top" align="left">Normal</td>
<td valign="top" align="left">Curved or broken or rusted</td>
<td valign="top" align="left">Remove</td>
</tr>
<tr>
<td valign="top" align="left">Eye</td>
<td valign="top" align="left">Roughness and transfiguration</td>
<td valign="top" align="left">Normal</td>
<td valign="top" align="left">Broken or rusted or transfigurated</td>
<td valign="top" align="left">Remove</td>
</tr>
<tr>
<td valign="top" align="left">Thread inspection</td>
<td valign="top" align="left">Inspection</td>
<td valign="top" align="left">Qualified</td>
<td valign="top" align="left">Unqualified</td>
<td valign="top" align="left">Solutions</td>
</tr>
<tr>
<td valign="top" align="left">Fraying thread</td>
<td valign="top" align="left">Observe and touching</td>
<td valign="top" align="left">Normal</td>
<td valign="top" align="left">Fraying thread</td>
<td valign="top" align="left">Mark errors and replaces</td>
</tr>
<tr>
<td valign="top" align="left">Fastening color</td>
<td valign="top" align="left">Touching</td>
<td valign="top" align="left">Normal</td>
<td valign="top" align="left">Bleeding or shading color</td>
<td valign="top" align="left">Mark errors and replaces</td>
</tr>
</tbody>
</table></table-wrap>
<p>Step 3: Design checking notes for cleaning, inspection, and lubrication as in <xref ref-type="table" rid="T22">Table 22</xref>.</p>
<table-wrap position="float" id="T22">
<label>TABLE 22</label>
<caption><p>Checking note for cleaning, inspection, and lubrication.</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td valign="top" align="left" colspan="5">Machine</td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left" colspan="5"><bold>Standard information for cleaning, inspection, and lubrication</bold></td>
</tr>
<tr>
<td valign="top" align="center" colspan="5"><hr/></td>
</tr>
<tr>
<td valign="top" align="left"><bold>No.</bold></td>
<td valign="top" align="left"><bold>Abnormal condition</bold></td>
<td valign="top" align="left"><bold>Dates</bold></td>
<td valign="top" align="left"><bold>Condition after solving problems</bold></td>
<td valign="top" align="left"><bold>Worker&#x2019;s name</bold></td>
</tr>
<tr>
<td valign="top" align="center" colspan="5"><hr/></td>
</tr>
<tr>
<td valign="top" align="left">1</td>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left"/></tr>
<tr>
<td valign="top" align="left">2</td>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left"/></tr>
<tr>
<td valign="top" align="left">3</td>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left"/></tr>
</tbody>
</table></table-wrap>
</sec>
<sec id="S6.SS6">
<title>6.6. Visual control</title>
<p>In order to solve needle-size-not-appropriate problems, a visual tool has been used by matching size needles with colors. Also, we put them in the same color boxes. Depending on needle sizes, the storage capacity of each box is determined as in <xref ref-type="table" rid="T23">Table 23</xref>.</p>
<table-wrap position="float" id="T23">
<label>TABLE 23</label>
<caption><p>Needle sizes and storage capacity of each box.</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td valign="top" align="left">No.</td>
<td valign="top" align="center">Needle size</td>
<td valign="top" align="center" colspan="2">Color</td>
<td valign="top" align="center">Storage capacity</td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">1</td>
<td valign="top" align="center">65/9</td>
<td valign="top" align="center">Yellow</td>
<td valign="top" align="center"><inline-graphic xlink:href="bijomrp-2023-18-i009.jpg"/></td>
<td valign="top" align="center">972</td>
</tr>
<tr>
<td valign="top" align="left">2</td>
<td valign="top" align="center">75/11</td>
<td valign="top" align="center">Red</td>
<td valign="top" align="center"><inline-graphic xlink:href="bijomrp-2023-18-i010.jpg"/></td>
<td valign="top" align="center">660</td>
</tr>
<tr>
<td valign="top" align="left">3</td>
<td valign="top" align="center">90/14</td>
<td valign="top" align="center">Blue</td>
<td valign="top" align="center"><inline-graphic xlink:href="bijomrp-2023-18-i011.jpg"/></td>
<td valign="top" align="center">330</td>
</tr>
<tr>
<td valign="top" align="left">4</td>
<td valign="top" align="center">100/16</td>
<td valign="top" align="center">Green</td>
<td valign="top" align="center"><inline-graphic xlink:href="bijomrp-2023-18-i012.jpg"/></td>
<td valign="top" align="center">300</td>
</tr>
</tbody>
</table></table-wrap>
</sec>
<sec id="S6.SS7">
<title>6.7. Thread storage system design</title>
<p>A low-quality thread is one of the most important causes which lead to broken stitch problems. By using 5-Why analysis, the root cause is identified, that is, the storage time of the thread. The quality of long-time-storage threads has been reduced. To solve the problem, a thread storage system has been designed to determine the storage time as in <xref ref-type="fig" rid="F13">Figure 13</xref>. This system contains three types of cards:</p>
<fig id="F13" position="float">
<label>FIGURE 13</label>
<caption><p>Thread storage system.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="bijomrp-2023-18-g013.tif"/>
</fig>
<list list-type="simple">
<list-item>
<label>&#x2013;</label>
<p>Time card: Cards indicate the storage date of the material.</p>
</list-item>
<list-item>
<label>&#x2013;</label>
<p>Empty card: Cards attached on empty batches.</p>
</list-item>
<list-item>
<label>&#x2013;</label>
<p>Emergency red card: This is the only card that is attached on the longest storage time batch, which is priority for using.</p>
</list-item>
</list>
<p>The operational process is as follows:</p>
<list list-type="simple">
<list-item>
<label>&#x2013;</label>
<p>Import materials are stored in the empty batch (with empty cards).</p>
</list-item>
<list-item>
<label>&#x2013;</label>
<p>Then, empty cards are replaced with time cards with storage dates of the batch.</p>
</list-item>
<list-item>
<label>&#x2013;</label>
<p>Emergency cards with the longest storage time batch.</p>
</list-item>
<list-item>
<label>&#x2013;</label>
<p>In case of stocking out batches (with emergency cards), they are replaced with empty cards.</p>
</list-item>
</list>
</sec>
<sec id="S6.SS8">
<title>6.8. Design of experiments</title>
<p>With reference to (<xref ref-type="bibr" rid="B1">1</xref>), DOE is implemented in the Yoke Station to minimize skip stitch errors and in the Shoulder Station to minimize skip stitch and broken stitch errors.</p>
<sec id="S6.SS8.SSS1">
<title>6.8.1. Yoke station</title>
<p>The input variables are needle eye stock, rotary hook distance D, and amount of taken thread A. The output variable is the skip defect rate DR. The variables are shown in <xref ref-type="fig" rid="F14">Figure 14</xref>.</p>
<fig id="F14" position="float">
<label>FIGURE 14</label>
<caption><p>Input and output variables for DOE.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="bijomrp-2023-18-g014.tif"/>
</fig>
<p>The levels of factors are defined as in <xref ref-type="table" rid="T24">Table 24</xref>.</p>
<table-wrap position="float" id="T24">
<label>TABLE 24</label>
<caption><p>Levels of factors for DOE.</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td valign="top" align="left">Factors</td>
<td valign="top" align="center" colspan="4">Levels</td>
<td valign="top" align="center">Unit</td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">A</td>
<td valign="top" align="center">2</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">4</td>
<td valign="top" align="center">5</td>
<td valign="top" align="center">Level</td>
</tr>
<tr>
<td valign="top" align="left">D</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center" colspan="2">2</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">mm</td>
</tr>
</tbody>
</table></table-wrap>
<p>With the number of repetitions of 3, the number of experiments is 36. The data are collected. From the collected data, the ANOVA is shown as in <xref ref-type="table" rid="T25">Table 25</xref>.</p>
<table-wrap position="float" id="T25">
<label>TABLE 25</label>
<caption><p>Result of ANOVA of Yoke Station.</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td valign="top" align="left" colspan="8">General linear model</td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left" colspan="8"><bold>Analysis of variance</bold></td>
</tr>
<tr>
<td valign="top" align="center" colspan="8"><hr/></td>
</tr>
<tr>
<td valign="top" align="left"><bold>Source</bold></td>
<td valign="top" align="center"><bold>DF</bold></td>
<td valign="top" align="center"><bold>Seq SS</bold></td>
<td valign="top" align="center"><bold>Contribution</bold></td>
<td valign="top" align="center"><bold>Adj SS</bold></td>
<td valign="top" align="center"><bold>Adj MS</bold></td>
<td valign="top" align="center"><bold>F-Value</bold></td>
<td valign="top" align="center"><bold>P- value</bold></td>
</tr>
<tr>
<td valign="top" align="center" colspan="8"><hr/></td>
</tr>
<tr>
<td valign="top" align="left">A</td>
<td valign="top" align="center">2</td>
<td valign="top" align="center">0.1769</td>
<td valign="top" align="center">91.60%</td>
<td valign="top" align="center">0.1769</td>
<td valign="top" align="center">0.0084</td>
<td valign="top" align="center">995.09</td>
<td valign="top" align="center">0.00</td>
</tr>
<tr>
<td valign="top" align="left">D</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">0.0095</td>
<td valign="top" align="center">4.95%</td>
<td valign="top" align="center">0.0095</td>
<td valign="top" align="center">0.0031</td>
<td valign="top" align="center">35.87</td>
<td valign="top" align="center">0.00</td>
</tr>
<tr>
<td valign="top" align="left">AD</td>
<td valign="top" align="center">6</td>
<td valign="top" align="center">0.0045</td>
<td valign="top" align="center">2.34%</td>
<td valign="top" align="center">0.0045</td>
<td valign="top" align="center">0.0007</td>
<td valign="top" align="center">8.47</td>
<td valign="top" align="center">0.00</td>
</tr>
<tr>
<td valign="top" align="left">Error</td>
<td valign="top" align="center">24</td>
<td valign="top" align="center">0.0021</td>
<td valign="top" align="center">1.10%</td>
<td valign="top" align="center">0.0021</td>
<td valign="top" align="center">0.000089</td>
<td/>
<td/>
</tr>
<tr>
<td valign="top" align="left">Total</td>
<td valign="top" align="center">35</td>
<td valign="top" align="center">0.193</td>
<td valign="top" align="center">100.00%</td>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td valign="top" align="center" colspan="8"><hr/></td>
</tr>
<tr>
<td valign="top" align="left"><bold>S</bold></td>
<td valign="top" align="center"><bold>R-sq</bold></td>
<td valign="top" align="center"><bold>R-sq (adj)</bold></td>
<td valign="top" align="center"><bold>PRESS</bold></td>
<td valign="top" align="center"><bold>R-sq (pred)</bold></td>
<td/>
<td/>
<td/>
</tr>
<tr>
<td valign="top" align="center" colspan="8"><hr/></td>
</tr>
<tr>
<td valign="top" align="left" colspan="8"><bold>Model summary</bold></td>
</tr>
<tr>
<td valign="top" align="left">0.0094281</td>
<td valign="top" align="center">98.90%</td>
<td valign="top" align="center">98.39%</td>
<td valign="top" align="center">0.0048</td>
<td valign="top" align="center">97.51%</td>
<td/>
<td/>
<td/>
</tr>
</tbody>
</table></table-wrap>
<p>Through ANOVA analysis, both factors and their interaction have affected defect rate. The contour plot of defect rate DR according to the amount of taken thread A and the distance of needle eye stock and rotary hook D is shown in <xref ref-type="fig" rid="F15">Figure 15</xref>.</p>
<fig id="F15" position="float">
<label>FIGURE 15</label>
<caption><p>Contour plot of defect rate DR.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="bijomrp-2023-18-g015.tif"/>
</fig>
<p>From the plot, the distance of needle eye stock and rotary hook D should be between 1.6 mm and 2.1 mm, and the amount of thread taken A should be set up from the level of 3.5 to 4.5. The value of the distance of 2 mm and the amount of thread taken of level are chosen.</p>
</sec>
<sec id="S6.SS8.SSS2">
<title>6.8.2. Shoulder station</title>
<p>The input variables are needle eye stock, rotary hook distance D, amount of taken thread A, and thread tension T. The output variable is the skip defect rate DR. The variables are shown in <xref ref-type="fig" rid="F16">Figure 16</xref>.</p>
<fig id="F16" position="float">
<label>FIGURE 16</label>
<caption><p>Input and output variables for DOE.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="bijomrp-2023-18-g016.tif"/>
</fig>
<p>The levels of input factors are defined as in <xref ref-type="table" rid="T26">Table 26</xref>.</p>
<table-wrap position="float" id="T26">
<label>TABLE 26</label>
<caption><p>Levels of input factors for DOE.</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td valign="top" align="left">Factors</td>
<td valign="top" align="center" colspan="4">Levels</td>
<td valign="top" align="center">Unit</td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">A</td>
<td valign="top" align="center">2</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">4</td>
<td valign="top" align="center">5</td>
<td valign="top" align="center">Level</td>
</tr>
<tr>
<td valign="top" align="left">D</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">2</td>
<td valign="top" align="center" colspan="2">3</td>
<td valign="top" align="center">mm</td>
</tr>
<tr>
<td valign="top" align="left">T</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">4</td>
<td valign="top" align="center" colspan="2">5</td>
<td valign="top" align="center">Level</td>
</tr>
</tbody>
</table></table-wrap>
<p>With the number of repetitions of 2, the number of replicas is 36. The data are collected. From the collected data, the ANOVA is shown as in <xref ref-type="table" rid="T27">Table 27</xref>.</p>
<table-wrap position="float" id="T27">
<label>TABLE 27</label>
<caption><p>Result of ANOVA of Shoulder Station.</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td valign="top" align="left">General linear model</td>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left"><bold>Analysis of variance</bold></td>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td valign="top" align="center" colspan="8"><hr/></td>
</tr>
<tr>
<td valign="top" align="left"><bold>Source</bold></td>
<td valign="top" align="center"><bold>DF</bold></td>
<td valign="top" align="center"><bold>Seq SS</bold></td>
<td valign="top" align="center"><bold>Contribution</bold></td>
<td valign="top" align="center"><bold>Adj SS</bold></td>
<td valign="top" align="center"><bold>Adj MS</bold></td>
<td valign="top" align="center"><bold>F-Value</bold></td>
<td valign="top" align="center"><bold>P-value</bold></td>
</tr>
<tr>
<td valign="top" align="center" colspan="8"><hr/></td>
</tr>
<tr>
<td valign="top" align="left">A</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">0.0259</td>
<td valign="top" align="center">4.35%</td>
<td valign="top" align="center">0.0259</td>
<td valign="top" align="center">0.0086</td>
<td valign="top" align="center">80.84</td>
<td valign="top" align="center">0.000</td>
</tr>
<tr>
<td valign="top" align="left">D</td>
<td valign="top" align="center">2</td>
<td valign="top" align="center">0.3369</td>
<td valign="top" align="center">56.55%</td>
<td valign="top" align="center">0.3369</td>
<td valign="top" align="center">0.1684</td>
<td valign="top" align="center">1575.4</td>
<td valign="top" align="center">0.000</td>
</tr>
<tr>
<td valign="top" align="left">T</td>
<td valign="top" align="center">2</td>
<td valign="top" align="center">0.2187</td>
<td valign="top" align="center">36.71%</td>
<td valign="top" align="center">0.2187</td>
<td valign="top" align="center">0.1093</td>
<td valign="top" align="center">1022.6</td>
<td valign="top" align="center">0.000</td>
</tr>
<tr>
<td valign="top" align="left">AD</td>
<td valign="top" align="center">6</td>
<td valign="top" align="center">0.0048</td>
<td valign="top" align="center">0.82%</td>
<td valign="top" align="center">0.0048</td>
<td valign="top" align="center">0.0008</td>
<td valign="top" align="center">7.62</td>
<td valign="top" align="center">0.031</td>
</tr>
<tr>
<td valign="top" align="left">AT</td>
<td valign="top" align="center">6</td>
<td valign="top" align="center">0.0017</td>
<td valign="top" align="center">0.29%</td>
<td valign="top" align="center">0.0017</td>
<td valign="top" align="center">0.0002</td>
<td valign="top" align="center">2.65</td>
<td valign="top" align="center">0.004</td>
</tr>
<tr>
<td valign="top" align="left">DT</td>
<td valign="top" align="center">4</td>
<td valign="top" align="center">0.0019</td>
<td valign="top" align="center">0.33%</td>
<td valign="top" align="center">0.0019</td>
<td valign="top" align="center">0.0004</td>
<td valign="top" align="center">4.63</td>
<td valign="top" align="center">0.207</td>
</tr>
<tr>
<td valign="top" align="left">ADT</td>
<td valign="top" align="center">12</td>
<td valign="top" align="center">0.0018</td>
<td valign="top" align="center">0.30%</td>
<td valign="top" align="center">0.0018</td>
<td valign="top" align="center">0.0001</td>
<td valign="top" align="center">1.41</td>
<td/>
</tr>
<tr>
<td valign="top" align="left">Error</td>
<td valign="top" align="center">36</td>
<td valign="top" align="center">0.0038</td>
<td valign="top" align="center">0.65%</td>
<td valign="top" align="center">0.0038</td>
<td valign="top" align="center">0.0001</td>
<td/>
<td/>
</tr>
<tr>
<td valign="top" align="left">Total</td>
<td valign="top" align="center">71</td>
<td valign="top" align="center">0.5958</td>
<td valign="top" align="center">100.00%</td>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td valign="top" align="center" colspan="8"><hr/></td>
</tr>
<tr>
<td valign="top" align="left"><bold>S</bold></td>
<td valign="top" align="center"><bold>R-sq</bold></td>
<td valign="top" align="center"><bold>R-sq (adj)</bold></td>
<td valign="top" align="center"><bold>PRESS</bold></td>
<td valign="top" align="center"><bold>R-sq (pred)</bold></td>
<td/>
<td/>
<td/>
</tr>
<tr>
<td valign="top" align="center" colspan="8"><hr/></td>
</tr>
<tr>
<td valign="top" align="left" colspan="8"><bold>Model summary</bold></td>
</tr>
<tr>
<td valign="top" align="left">0.0094281</td>
<td valign="top" align="center">98.90%</td>
<td valign="top" align="center">98.39%</td>
<td valign="top" align="center">0.0048</td>
<td valign="top" align="center">97.51%</td>
<td/>
<td/>
<td/>
</tr>
</tbody>
</table></table-wrap>
<p>Through ANOVA analysis, both factors and their 2-factor interaction have affected the defect rate. The interaction plot is shown in <xref ref-type="fig" rid="F17">Figure 17</xref>.</p>
<fig id="F17" position="float">
<label>FIGURE 17</label>
<caption><p>Display of the interaction plot.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="bijomrp-2023-18-g017.tif"/>
</fig>
<p>From the plot, the lowest defect rate would be attained with a distance of 2 mm, a tension level of 3, and a thread taken level of 3.</p>
<p>The results of applying DOE are shown in <xref ref-type="table" rid="T28">Table 28</xref>.</p>
<table-wrap position="float" id="T28">
<label>TABLE 28</label>
<caption><p>Results of applying DOE.</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td valign="top" align="center" colspan="2">Yoke station</td>
<td valign="top" align="center" colspan="2">Shoulder station</td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Distance</td>
<td valign="top" align="center">2 mm</td>
<td valign="top" align="left">Distance</td>
<td valign="top" align="center">2 mm</td>
</tr>
<tr>
<td valign="top" align="left">Taken thread</td>
<td valign="top" align="center">Level 4</td>
<td valign="top" align="left">Taken thread</td>
<td valign="top" align="center">Level 3</td>
</tr>
<tr>
<td/>
<td/>
<td valign="top" align="left">Tension level</td>
<td valign="top" align="center">Level 3</td>
</tr>
<tr>
<td valign="top" align="left">Defect rate</td>
<td valign="top" align="center">&#x003C; 0.005</td>
<td valign="top" align="left">Defect rate</td>
<td valign="top" align="center">0.02</td>
</tr>
</tbody>
</table></table-wrap>
</sec>
</sec>
<sec id="S6.SS9">
<title>6.9. Future state map</title>
<p>After applying Lean Six Sigma tools, the future state map is as in <xref ref-type="fig" rid="F18">Figure 18</xref>.</p>
<fig id="F18" position="float">
<label>FIGURE 18</label>
<caption><p>Future state map.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="bijomrp-2023-18-g018.tif"/>
</fig>
<p>From the map, the system indexes are presented as in <xref ref-type="table" rid="T29">Table 29</xref>.</p>
<table-wrap position="float" id="T29">
<label>TABLE 29</label>
<caption><p>Index of the system.</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td valign="top" align="left">Index</td>
<td valign="top" align="center">Value</td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">LT (min)</td>
<td valign="top" align="center">30.1</td>
</tr>
<tr>
<td valign="top" align="left">PCE (%)</td>
<td valign="top" align="center">6.73</td>
</tr>
<tr>
<td valign="top" align="left">CT (s)</td>
<td valign="top" align="center">16.5</td>
</tr>
<tr>
<td valign="top" align="left">DPU (%)</td>
<td valign="top" align="center">9.32</td>
</tr>
</tbody>
</table></table-wrap>
<p>A comparison of the performance indexes of the current state map CSM and the future state map FSM is shown in <xref ref-type="table" rid="T30">Table 30</xref>.</p>
<table-wrap position="float" id="T30">
<label>TABLE 30</label>
<caption><p>Comparing the performance indexes of CSM and FSM.</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td valign="top" align="left">Index</td>
<td valign="top" align="center">CFM</td>
<td valign="top" align="center">FSM</td>
<td valign="top" align="center">% Improvement</td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Lead time (min)</td>
<td valign="top" align="center">279</td>
<td valign="top" align="center">30.1</td>
<td valign="top" align="center">89.21%</td>
</tr>
<tr>
<td valign="top" align="left">PCE (%)</td>
<td valign="top" align="center">0.903</td>
<td valign="top" align="center">6.73</td>
<td valign="top" align="center">745.29%</td>
</tr>
<tr>
<td valign="top" align="left">Cycle time (s)</td>
<td valign="top" align="center">25</td>
<td valign="top" align="center">16.5</td>
<td valign="top" align="center">34%</td>
</tr>
<tr>
<td valign="top" align="left">DPU (%)</td>
<td valign="top" align="center">14.9</td>
<td valign="top" align="center">9.32</td>
<td valign="top" align="center">37.45%</td>
</tr>
</tbody>
</table></table-wrap>
<p>The result shows that all the performance indexes have been improved.</p>
</sec>
</sec>
<sec id="S7">
<title>7. Control</title>
<p>In order to maintain improved results, the control charts of important system parameters, LT, CT, and DPU, would be developed. With the current data, the control charts are constructed and operated. The LT control chart is as in <xref ref-type="fig" rid="F19">Figure 19</xref>.</p>
<fig id="F19" position="float">
<label>FIGURE 19</label>
<caption><p>LT control chart.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="bijomrp-2023-18-g019.tif"/>
</fig>
<p>The CT control chart is as in <xref ref-type="fig" rid="F20">Figure 20</xref>.</p>
<fig id="F20" position="float">
<label>FIGURE 20</label>
<caption><p>CT control chart.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="bijomrp-2023-18-g020.tif"/>
</fig>
<p>The DPU control chart is as in <xref ref-type="fig" rid="F21">Figure 21</xref>.</p>
<fig id="F21" position="float">
<label>FIGURE 21</label>
<caption><p>DPU control chart.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="bijomrp-2023-18-g021.tif"/>
</fig>
</sec>
<sec id="S8" sec-type="conclusion">
<title>8. Conclusion</title>
<p>The research has implemented Lean Six Sigma to improve a garment production process. The research methodology is based on the platform of DMAIC procedure, including five steps: define, measure, analyze, improve, and control. The tools used in the steps of DMAIC procedure include CED, Pareto diagram, value stream management, work design, SMED, line balancing, Kanban, FIFO, autonomous maintenance, visual management, DOE, and control charts.</p>
<p>After applying Lean Six Sigma tools, the company has reduced the production lead time by 89.21% from 279 to 30.1 min, reduced the production cycle time by 36% from 25 to 16 s, reduced the process defect rate by 37.45% from 14.9 to 9.32%, and then improved the on-time delivery rate. The results show that the research has met the objectives with the advantages of following strict and scientific methodology and using many tools; among them are strong tools like DOE.</p>
<p>The research still had some disadvantages. The number of collected samples used in DOE is small. The control phase has not built up standard operating processes for controlling the whole process. The improvements have not been implemented to verify the effectiveness of research. These restrictions would guide the way for future research.</p>
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<sec id="S10" sec-type="author-contributions">
<title>Author contributions</title>
<p>PNN is the thesis advisor of PH, PTN, and QD. PN has developed the models for the thesis. PH, PTN, and QD have collected and analyzed the data and run the models. PNN has composed the article based on the thesis. All authors contributed to the article and approved the submitted version.</p>
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</body>
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<ack><p>We extend our heartfelt appreciation to everyone who has contributed to the completion of this research article, especially our families, Ho Chi Minh City University of Technology (HCMUT), and the scientific community, for their invaluable support.</p>
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<sec id="S9" sec-type="COI-statement">
<title>Conflict of interest</title>
<p>The research is conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
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