Production Scheduling and Customer Orders Assignment in a Three-Level Supply Chain

<table class="table-group" id="tab13"><tr><td><table class="table"><tr><td class="thead-hr" colspan="9"><hr/></td></tr><tr class="thead"><td align="center" colspan="4">Problem specifications</td><td align="center" colspan="5">Unbalanced problems</td></tr><tr class="thead"><td align="left" rowspan="2"><span style="width: 13.5375px;"><svg height="7.9499998" id="M202" style="vertical-align:-0.1638pt" version="1.1" viewbox="0 0 13.5375 7.9499998" width="13.5375" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg></span></td><td align="center" rowspan="2">Example number</td><td align="center" rowspan="2">Optimal solution</td><td align="center" colspan="2">SA</td><td align="center" colspan="2">VNS </td></tr><tr class="thead"><td align="left">  Objective function</td><td align="center">PRD</td><td align="center"> Objective function</td><td align="center">PRD</td></tr><tr><td class="thead-hr" colspan="9"><hr/></td></tr><tr><td align="left">2</td><td align="center">4</td><td align="center">10</td><td align="center">1</td><td align="center">136.64</td><td align="center">149.6</td><td align="center">9.48</td><td align="center">151.09</td><td align="center">10.58</td></tr><tr><td align="left">2</td><td align="center">4</td><td align="center">10</td><td align="center">2</td><td align="center">128.22</td><td align="center">143.14</td><td align="center">11.64</td><td align="center">132.48</td><td align="center">3.32</td></tr><tr><td align="left">2</td><td align="center">6</td><td align="center">10</td><td align="center">1</td><td align="center">354.76</td><td align="center">369.02</td><td align="center">9.86</td><td align="center">345.77</td><td align="center">2.94</td></tr><tr><td align="left">2</td><td align="center">6</td><td align="center">10</td><td align="center">2</td><td align="center">171.87</td><td align="center">186.98</td><td align="center">8.79</td><td align="center">181.32</td><td align="center">5.5</td></tr><tr><td align="left">2</td><td align="center">4</td><td align="center">20</td><td align="center">1</td><td align="center">649.66</td><td align="center">731.2</td><td align="center">12.55</td><td align="center">724.54</td><td align="center">11.53</td></tr><tr><td align="left">2</td><td align="center">4</td><td align="center">20</td><td align="center">2</td><td align="center">522.95</td><td align="center">571.56</td><td align="center">9.3</td><td align="center">542</td><td align="center">3.64</td></tr><tr><td align="left">2</td><td align="center">6</td><td align="center">20</td><td align="center">1</td><td align="center">833.32</td><td align="center">903.25</td><td align="center">8.39</td><td align="center">893.01</td><td align="center">7.16</td></tr><tr><td align="left">2</td><td align="center">6</td><td align="center">20</td><td align="center">2</td><td align="center">649.20</td><td align="center">688.58</td><td align="center">6.07</td><td align="center">653.41</td><td align="center">0.65</td></tr><tr class="table-tr"><td colspan="9"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

Performance analysis of small sized unbalanced problems.

International Scholarly Research Notices

tab13

Table 13

Table 13: Production Scheduling and Customer Orders Assignment in a Three-Level Supply Chain 