A Multiobjective Optimization Model of Production-Sourcing for Sustainable Supply Chain with Consideration of Social, Environmental, and Economic Factors

<table class="table-group" id="tab3"><tr><td><table class="table"><tr><td class="thead-hr" colspan="2"><hr/></td></tr><tr class="thead"><td align="left">Objectives</td><td align="center">Weights (<svg height="11.9625" id="M79" style="vertical-align:-3.2316pt" version="1.1" viewbox="0 0 16.1 11.9625" width="16.1" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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q-8 -44 -8 -58q0 -77 68 -77q31 0 60 33.5t39 77.5l62 260l75 16l5 -6l-63 -246q-8 -29 -8 -58q0 -77 68 -77q66 0 116 75.5t50 194.5q0 43 -12 57q-11 12 -11 24q0 19 15 35.5t34 16.5q18 0 30.5 -34.5t12.5 -81.5z" id="x1D464"></path></g>
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</svg>)</td></tr><tr><td class="thead-hr" colspan="2"><hr/></td></tr><tr><td align="left">Economical performance</td><td align="center">0.5396</td></tr><tr><td align="left">Environmental performance</td><td align="center">0.2970</td></tr><tr><td align="left">Social performance</td><td align="center">0.1634</td></tr><tr><td align="left"> </td><td align="center"><span style="width: 59.262501px;"><svg height="16.9" id="M80" style="vertical-align:-3.2729pt" version="1.1" viewbox="0 0 59.262501 16.9" width="59.262501" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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<g transform="matrix(.012,-0,0,-.012,27.75,16.7)"><path d="M244 607q0 -25 -15.5 -43t-37.5 -18q-19 0 -32 13t-13 35q0 21 15 41t39 20q20 0 32 -14t12 -34zM222 91q-29 -33 -79 -68t-75 -35q-13 0 -19 7.5t-6 31t10 65.5l62 253q5 26 -1 26q-21 0 -72 -43l-13 24q43 40 91 68t71 28q30 0 10 -78l-71 -274q-8 -30 3 -30
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Weights for the sustainable supply chain objectives.

Mathematical Problems in Engineering

tab3

Table 3

Table 3: A Multiobjective Optimization Model of Production-Sourcing for Sustainable Supply Chain with Consideration of Social, Environmental, and Economic Factors 

Table 3 | A Multiobjective Optimization Model of Production-Sourcing for Sustainable Supply Chain with Consideration of Social, Environmental, and Economic Factors 