TY - JOUR

T1 - Population-based risk equilibration for the multimode hazmat transport network design problem

AU - Fontaine, Pirmin

AU - Crainic, Teodor Gabriel

AU - Gendreau, Michel

AU - Minner, Stefan

N1 - Publisher Copyright:
© 2020 Elsevier B.V.

PY - 2020/7/1

Y1 - 2020/7/1

N2 - The shipment of hazardous materials is important and many of these products are flammable, explosive or radioactive. Despite high security standards, accidents still happen and the transportation of hazmat causes fear among the population. Therefore, the society expects authorities to distribute the risk fairly. To support such a fair distribution, we propose a new population-based risk definition that evaluates the risk for the population in any given area with respect to its multimodal transportation network. Moreover, we propose different objective functions for equilibrating the risk and extend the bilevel Hazmat Transport Network Design Problem by considering several transportation modes. In this problem, the government wants to equilibrate the risk among the population centers by restricting links to the shipment of hazardous goods. When taking that decision, the government has to anticipate the reaction of the carriers who want to minimize the transportation costs. This bilevel problem is transformed into a single-level mixed-integer linear program. The numerical results give insights to authorities (1) on how to evaluate risk for a fair distribution, and (2) that there is a positive convex relation between risk minimization and risk equilibration. The zones with high risk will initially benefit from the risk redistribution. However, pure equality just penalizes zones with low risk. Therefore, a significant improvement in risk distribution can be achieved at the cost of just a small increase in total risk. Moreover, compared to classical approaches in the literature, we achieve a better risk distribution among the population without increasing the total risk.

AB - The shipment of hazardous materials is important and many of these products are flammable, explosive or radioactive. Despite high security standards, accidents still happen and the transportation of hazmat causes fear among the population. Therefore, the society expects authorities to distribute the risk fairly. To support such a fair distribution, we propose a new population-based risk definition that evaluates the risk for the population in any given area with respect to its multimodal transportation network. Moreover, we propose different objective functions for equilibrating the risk and extend the bilevel Hazmat Transport Network Design Problem by considering several transportation modes. In this problem, the government wants to equilibrate the risk among the population centers by restricting links to the shipment of hazardous goods. When taking that decision, the government has to anticipate the reaction of the carriers who want to minimize the transportation costs. This bilevel problem is transformed into a single-level mixed-integer linear program. The numerical results give insights to authorities (1) on how to evaluate risk for a fair distribution, and (2) that there is a positive convex relation between risk minimization and risk equilibration. The zones with high risk will initially benefit from the risk redistribution. However, pure equality just penalizes zones with low risk. Therefore, a significant improvement in risk distribution can be achieved at the cost of just a small increase in total risk. Moreover, compared to classical approaches in the literature, we achieve a better risk distribution among the population without increasing the total risk.

KW - Hazardous materials transportation

KW - Multimodal

KW - Population-based risk definition

KW - Risk equilibration

KW - Transportation

KW - multicommodity network design

UR - http://www.scopus.com/inward/record.url?scp=85077711123&partnerID=8YFLogxK

U2 - 10.1016/j.ejor.2019.12.028

DO - 10.1016/j.ejor.2019.12.028

M3 - Article

AN - SCOPUS:85077711123

SN - 0377-2217

VL - 284

SP - 188

EP - 200

JO - European Journal of Operational Research

JF - European Journal of Operational Research

IS - 1

ER -