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Mixed Route Strategies for the Risk-Averse Shipment of Hazardous Materials

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  • Michael Bell

Abstract

Previous work on the risk-averse routing of hazardous materials has focussed on ways of finding the safest route between a pair of points. For repeated shipments where the arc incident probabilities are unknown, it is shown that the safest strategy is in general to use a mix of routes. Starting with a simple two-route example, it is shown that exposure can be significantly reduced by sharing shipments between routes. In order to determine the safest set of routes and the safest share of traffic between these routes, a minmax problem is formulated. The properties of the optimality conditions are explored. A simple solution heuristic based on a shortest path algorithm and the method of successive averages is proposed. Connections to game theory provide useful insights into the nature of the solution. Copyright Springer Science + Business Media, LLC 2006

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  • Michael Bell, 2006. "Mixed Route Strategies for the Risk-Averse Shipment of Hazardous Materials," Networks and Spatial Economics, Springer, vol. 6(3), pages 253-265, September.
    • Handle: RePEc:kap:netspa:v:6:y:2006:i:3:p:253-265
    DOI: 10.1007/s11067-006-9283-x
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    References listed on IDEAS

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    1. Reniers, G.L.L. & Dullaert, W., 2013. "A method to assess multi-modal Hazmat transport security vulnerabilities: Hazmat transport SVA," Transport Policy, Elsevier, vol. 28(C), pages 103-113.
    2. Nima Haghighi & S. Kiavash Fayyaz & Xiaoyue Cathy Liu & Tony H. Grubesic & Ran Wei, 2018. "A Multi-Scenario Probabilistic Simulation Approach for Critical Transportation Network Risk Assessment," Networks and Spatial Economics, Springer, vol. 18(1), pages 181-203, March.
    3. Fang, Kan & Ke, Ginger Y. & Verma, Manish, 2017. "A routing and scheduling approach to rail transportation of hazardous materials with demand due dates," European Journal of Operational Research, Elsevier, vol. 261(1), pages 154-168.
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    6. Yu Nie & Xing Wu & Tito Homem-de-Mello, 2012. "Optimal Path Problems with Second-Order Stochastic Dominance Constraints," Networks and Spatial Economics, Springer, vol. 12(4), pages 561-587, December.
    7. Mohri, Seyed Sina & Asgari, Nasrin & Zanjirani Farahani, Reza & Bourlakis, Michael & Laker, Benjamin, 2020. "Fairness in hazmat routing-scheduling: A bi-objective Stackelberg game," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 140(C).
    8. Liping Liu & Jiaming Li & Lei Zhou & Tijun Fan & Shuxia Li, 2021. "Research on Route Optimization of Hazardous Materials Transportation Considering Risk Equity," Sustainability, MDPI, vol. 13(16), pages 1-19, August.
    9. Zvi Drezner & George Wesolowsky, 2014. "Covering Part of a Planar Network," Networks and Spatial Economics, Springer, vol. 14(3), pages 629-646, December.
    10. Kumar, Anand & Roy, Debjit & Verter, Vedat & Sharma, Dheeraj, 2018. "Integrated fleet mix and routing decision for hazmat transportation: A developing country perspective," European Journal of Operational Research, Elsevier, vol. 264(1), pages 225-238.
    11. N. Norouzi & R. Tavakkoli-Moghaddam & M. Ghazanfari & M. Alinaghian & A. Salamatbakhsh, 2012. "A New Multi-objective Competitive Open Vehicle Routing Problem Solved by Particle Swarm Optimization," Networks and Spatial Economics, Springer, vol. 12(4), pages 609-633, December.
    12. Nie, Yu (Marco) & Wu, Xing & Dillenburg, John F. & Nelson, Peter C., 2012. "Reliable route guidance: A case study from Chicago," Transportation Research Part A: Policy and Practice, Elsevier, vol. 46(2), pages 403-419.
    13. Kuhn, K. & Raith, A. & Schmidt, M. & Schöbel, A., 2016. "Bi-objective robust optimisation," European Journal of Operational Research, Elsevier, vol. 252(2), pages 418-431.
    14. Szeto, W.Y. & Farahani, R.Z. & Sumalee, Agachai, 2017. "Link-based multi-class hazmat routing-scheduling problem: A multiple demon approach," European Journal of Operational Research, Elsevier, vol. 261(1), pages 337-354.
    15. Xiangfeng Ji & Xuegang (Jeff) Ban & Mengtian Li & Jian Zhang & Bin Ran, 2017. "Non-expected Route Choice Model under Risk on Stochastic Traffic Networks," Networks and Spatial Economics, Springer, vol. 17(3), pages 777-807, September.
    16. Ke, Ginger Y. & Zhang, Huiwen & Bookbinder, James H., 2020. "A dual toll policy for maintaining risk equity in hazardous materials transportation with fuzzy incident rate," International Journal of Production Economics, Elsevier, vol. 227(C).
    17. Rahman, Ashrafur & Fiondella, Lance & Lownes, Nicholas E., 2014. "A Bi-Objective Approach to Evaluate Highway Routing and Regulatory Strategies for Hazardous Materials Transportation," Journal of the Transportation Research Forum, Transportation Research Forum, vol. 53(1).

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