Supply Chain Network Design under Demand Uncertainty and Supply Disruptions: A Distributionally Robust Optimization Approach

<table class="table-group" id="tab4"><tr><td><table class="table"><tr><td class="thead-hr" colspan="4"><hr/></td></tr><tr class="thead"><td class="align_left">Scenario probability distribution</td><td class="align_center">Optimal objective function value</td><td class="align_center">Objective function value when applying robust solutions to a real distribution</td><td class="align_center">Performance loss ratio</td></tr><tr><td class="thead-hr" colspan="4"><hr/></td></tr><tr><td class="align_left">(0.7295, 0.0500, 0.2100, 0.0105)</td><td class="align_center">379422.0</td><td class="align_center">337840.5</td><td class="align_center">10.96%</td></tr><tr><td class="align_left">(0.7085, 0.0500, 0.2300, 0.0115)</td><td class="align_center">377534.6</td><td class="align_center">339836.5</td><td class="align_center">9.99%</td></tr><tr><td class="align_left">(0.6875, 0.0500, 0.2500, 0.0125)</td><td class="align_center">375647.3</td><td class="align_center">341832.7</td><td class="align_center">9.00%</td></tr><tr><td class="align_left">(0.6665, 0.0500, 0.2700, 0.0135)</td><td class="align_center">373759.9</td><td class="align_center">343828.7</td><td class="align_center">8.01%</td></tr><tr><td class="align_left">(0.6455, 0.0500, 0.2900, 0.0145)</td><td class="align_center">371872.6</td><td class="align_center">345824.8</td><td class="align_center">7.00%</td></tr><tr class="table-tr"><td colspan="4"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

Comparisons under different probability distributions under ellipsoid uncertainty.

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Table 4

Table 4: Supply Chain Network Design under Demand Uncertainty and Supply Disruptions: A Distributionally Robust Optimization Approach 