University of Waterloo
200 University Ave W, Waterloo, ON N2L 3G1
Phone: (519) 888-4567
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The transportation of hazardous materials (hazmat) has drawn significant attention from various stakeholders due to the undesirable impacts on the environment and public health. Focusing on the connection between the traffic and the risk associated with the hazmat shipments, the present research aims to assist the regulator in designing a policy of dual tolls, imposed on both hazmat and non-hazmat shipments, to mitigate the hazmat risk in a road network.
A bi-objective bi-level programming formulation is constructed. To be specific, the upper level model indicates the regulator’s decision problem, minimizing the maximum link risk and the total network risk by imposing a dual-toll policy on any carrier. The lower level jointly considers the decisions of multiple hazmat carriers and non-hazmat travelers, minimizing the total transportation cost, including the toll cost. (By “nonhazmat traveler”, we mean both people who carry and do not carry products.) Given the bi-level structure and the non-linear nature, a solution procedure with two parts is designed. First, we develop two alternative linearization approaches. One is piecewise linearization, transforming the non-linear terms into linear ones. The other applies the Frank-Wolfe algorithm, an iterative first-order optimization algorithm. Then a genetic-algorithm-based methodology will integrate both levels. Computational experiments on different sizes of networks are performed to demonstrate the effectiveness of the model. Various analyses, involving trade-offs, sensitivities, and examination of convergence, are conducted to provide additional managerial insights. These can be used to facilitate stakeholders’ decision making.
James Bookbinder
Ginger Ke
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University of Waterloo
200 University Ave W, Waterloo, ON N2L 3G1
Phone: (519) 888-4567
Staff and Faculty Directory
Contact the Department of Management Sciences
The University of Waterloo acknowledges that much of our work takes place on the traditional territory of the Neutral, Anishinaabeg and Haudenosaunee peoples. Our main campus is situated on the Haldimand Tract, the land granted to the Six Nations that includes six miles on each side of the Grand River. Our active work toward reconciliation takes place across our campuses through research, learning, teaching, and community building, and is centralized within our Office of Indigenous Relations.