A Multiobjective Route Robust Optimization Model and Algorithm for Hazmat Transportation

<div>Pareto optimal solution distribution of robust control parameters <svg height="8.68572pt" id="M89" style="vertical-align:-0.0498209pt" version="1.1" viewbox="-0.0498162 -8.6359 6.71534 8.68572" width="6.71534pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M485 501C480 550 475 615 475 650H42V622C119 616 127 606 127 525V126C127 44 119 34 41 28V0H311V28C220 34 212 43 212 126V584C212 612 216 615 244 615H318C382 615 404 608 420 587C435 568 445 541 455 497L485 501Z" id="g113-132"></path></g></svg>=0, <svg height="8.68572pt" id="M90" style="vertical-align:-0.0498209pt" version="1.1" viewbox="-0.0498162 -8.6359 6.71534 8.68572" width="6.71534pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M485 501C480 550 475 615 475 650H42V622C119 616 127 606 127 525V126C127 44 119 34 41 28V0H311V28C220 34 212 43 212 126V584C212 612 216 615 244 615H318C382 615 404 608 420 587C435 568 445 541 455 497L485 501Z" id="g113-132"></path></g></svg>=10, and <svg height="8.68572pt" id="M91" style="vertical-align:-0.0498209pt" version="1.1" viewbox="-0.0498162 -8.6359 6.71534 8.68572" width="6.71534pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M485 501C480 550 475 615 475 650H42V622C119 616 127 606 127 525V126C127 44 119 34 41 28V0H311V28C220 34 212 43 212 126V584C212 612 216 615 244 615H318C382 615 404 608 420 587C435 568 445 541 455 497L485 501Z" id="g113-132"></path></g></svg>=20 for distribution center b.</div>

Discrete Dynamics in Nature and Society

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Figure 5

Figure 5: A Multiobjective Route Robust Optimization Model and Algorithm for Hazmat Transportation 