An Effective Hybrid Self-Adapting Differential Evolution Algorithm for the Joint Replenishment and Location-Inventory Problem in a Three-Level Supply Chain

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</svg></td><td align="center">Algorithm</td><td align="center">Avg. CPU times</td><td align="center">Optimal TC </td><td align="center">Avg. <svg height="15.675" id="M256" style="vertical-align:-3.13504pt" version="1.1" viewbox="0 0 43.825001 15.675" width="43.825001" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg></td><td align="center">Ratio of finding the optimal TC</td></tr><tr><td class="thead-hr" colspan="6"><hr/></td></tr><tr><td align="left" rowspan="3"><svg height="11.175" id="M257" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 10.9375 11.175" width="10.9375" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,11.113)"><path d="M619 482q0 -69 -40.5 -119t-96 -72.5t-118.5 -26.5h-44l-70 20l-31 -151q-14 -67 0.5 -83t89.5 -22l-5 -28h-287l8 28q65 7 81.5 22t29.5 83l79 398q12 56 0.5 70.5t-78.5 20.5l7 28h255q108 0 164 -43t56 -125zM524 478q0 141 -146 141q-25 0 -47 -8q-16 -6 -20.5 -13.5
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</svg>_5_30</td><td align="center">HSDE</td><td align="center">17.6</td><td align="center">1397.4</td><td align="center">1397.4</td><td align="center">100%</td></tr><tr><td align="center">HDE</td><td align="center">17.3</td><td align="center">1397.4</td><td align="center">1397.4</td><td align="center">100%</td></tr><tr><td align="center">GA</td><td align="center">19.2</td><td align="center">1397.4</td><td align="center">1397.4</td><td align="center">100%</td></tr><tr><td align="left" colspan="6"><hr/></td></tr><tr><td align="left" rowspan="3"><svg height="11.175" id="M258" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 10.9375 11.175" width="10.9375" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,11.113)"><path d="M619 482q0 -69 -40.5 -119t-96 -72.5t-118.5 -26.5h-44l-70 20l-31 -151q-14 -67 0.5 -83t89.5 -22l-5 -28h-287l8 28q65 7 81.5 22t29.5 83l79 398q12 56 0.5 70.5t-78.5 20.5l7 28h255q108 0 164 -43t56 -125zM524 478q0 141 -146 141q-25 0 -47 -8q-16 -6 -20.5 -13.5
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</svg>_10_50</td><td align="center">HSDE</td><td align="center">99.0</td><td align="center">2511.2</td><td align="center">2511.2</td><td align="center">100%</td></tr><tr><td align="center">HDE</td><td align="center">105.1</td><td align="center">2511.2</td><td align="center">2511.2</td><td align="center">100%</td></tr><tr><td align="center">GA</td><td align="center">114.1</td><td align="center">3064.8</td><td align="center">3126.0</td><td align="center">0%</td></tr><tr><td align="left" colspan="6"><hr/></td></tr><tr><td align="left" rowspan="3"><svg height="11.175" id="M259" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 10.9375 11.175" width="10.9375" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,11.113)"><path d="M619 482q0 -69 -40.5 -119t-96 -72.5t-118.5 -26.5h-44l-70 20l-31 -151q-14 -67 0.5 -83t89.5 -22l-5 -28h-287l8 28q65 7 81.5 22t29.5 83l79 398q12 56 0.5 70.5t-78.5 20.5l7 28h255q108 0 164 -43t56 -125zM524 478q0 141 -146 141q-25 0 -47 -8q-16 -6 -20.5 -13.5
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</svg>_20_100</td><td align="center">HSDE</td><td align="center">613.2</td><td align="center">4444.7</td><td align="center">4709.2</td><td align="center">45%</td></tr><tr><td align="center">HDE</td><td align="center">689.9</td><td align="center">7318.3</td><td align="center">7846.4</td><td align="center">0%</td></tr><tr><td align="center">GA</td><td align="center">742.3</td><td align="center">8539.4</td><td align="center">9497.5</td><td align="center">0%</td></tr><tr class="table-tr"><td colspan="6"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

Comparison of the results for different scales.

The Scientific World Journal

tab6

Table 6

Table 6: An Effective Hybrid Self-Adapting Differential Evolution Algorithm for the Joint Replenishment and Location-Inventory Problem in a Three-Level Supply Chain 

Table 6 | An Effective Hybrid Self-Adapting Differential Evolution Algorithm for the Joint Replenishment and Location-Inventory Problem in a Three-Level Supply Chain 