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Modeling Equity of Risk in the Transportation of Hazardous Materials

Author

Listed:
  • Ram Gopalan

    (Massachusetts Institute of Technology, Cambridge, Massachusetts)

  • Krishna S. Kolluri

    (University of California, Santa Cruz, California)

  • Rajan Batta

    (State University of New York, Buffalo, New York)

  • Mark H. Karwan

    (State University of New York, Buffalo, New York)

Abstract

In this paper, we develop and analyze a model to generate an equitable set of routes for hazardous material shipments. The objective is to determine a set of routes that will minimize the total risk of travel and spread the risk equitably among the zones of the geographical region in which the transportation network is embedded, when several trips are necessary from origin to destination. An integer programming formulation for the problem is proposed. We develop and test a heuristic that repeatedly solves single-trip problems: a Lagrangian dual approach with a gap-closing procedure is used to optimally solve single-trip problems. We report a sampling of our computational experience, based on a real-life routing scenario in the Albany district of New York State. Our findings indicate that one can achieve a high degree of equity by modestly increasing the total risk and by embarking on different routes to evenly spread the risk among the zones. Furthermore, it appears that our heuristic procedure is excellent in terms of computational requirements as well as solution quality. We also suggest some directions for future research.

Suggested Citation

  • Ram Gopalan & Krishna S. Kolluri & Rajan Batta & Mark H. Karwan, 1990. "Modeling Equity of Risk in the Transportation of Hazardous Materials," Operations Research, INFORMS, vol. 38(6), pages 961-973, December.
    • Handle: RePEc:inm:oropre:v:38:y:1990:i:6:p:961-973
    DOI: 10.1287/opre.38.6.961
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    Cited by:

    1. 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.
    2. Lucio Bianco & Massimiliano Caramia & Stefano Giordani & Veronica Piccialli, 2016. "A Game-Theoretic Approach for Regulating Hazmat Transportation," Transportation Science, INFORMS, vol. 50(2), pages 424-438, May.
    3. Cooper, W. W. & Hemphill, H. & Huang, Z. & Li, S. & Lelas, V. & Sullivan, D. W., 1997. "Survey of mathematical programming models in air pollution management," European Journal of Operational Research, Elsevier, vol. 96(1), pages 1-35, January.
    4. Mohammad R. Zolfaghari & Elnaz Peyghaleh, 2015. "Implementation of Equity in Resource Allocation for Regional Earthquake Risk Mitigation Using Two‐Stage Stochastic Programming," Risk Analysis, John Wiley & Sons, vol. 35(3), pages 434-458, March.
    5. Bronfman, Andrés & Marianov, Vladimir & Paredes-Belmar, Germán & Lüer-Villagra, Armin, 2016. "The maxisum and maximin-maxisum HAZMAT routing problems," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 93(C), pages 316-333.
    6. Fontaine, Pirmin & Crainic, Teodor Gabriel & Gendreau, Michel & Minner, Stefan, 2020. "Population-based risk equilibration for the multimode hazmat transport network design problem," European Journal of Operational Research, Elsevier, vol. 284(1), pages 188-200.
    7. Garrido, Rodrigo A. & Bronfman, Andrés C., 2017. "Equity and social acceptability in multiple hazardous materials routing through urban areas," Transportation Research Part A: Policy and Practice, Elsevier, vol. 102(C), pages 244-260.
    8. 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).
    9. Mohri, Seyed Sina & Mohammadi, Mehrdad & Gendreau, Michel & Pirayesh, Amir & Ghasemaghaei, Ali & Salehi, Vahid, 2022. "Hazardous material transportation problems: A comprehensive overview of models and solution approaches," European Journal of Operational Research, Elsevier, vol. 302(1), pages 1-38.
    10. Ann Melissa Campbell & Dieter Vandenbussche & William Hermann, 2008. "Routing for Relief Efforts," Transportation Science, INFORMS, vol. 42(2), pages 127-145, May.
    11. 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.
    12. P. Daniel Wright & Matthew J. Liberatore & Robert L. Nydick, 2006. "A Survey of Operations Research Models and Applications in Homeland Security," Interfaces, INFORMS, vol. 36(6), pages 514-529, December.
    13. Bronfman, Andrés & Marianov, Vladimir & Paredes-Belmar, Germán & Lüer-Villagra, Armin, 2015. "The maximin HAZMAT routing problem," European Journal of Operational Research, Elsevier, vol. 241(1), pages 15-27.
    14. TALARICO, Luca & SÖRENSEN, Kenneth & SPRINGAEL, Johan, 2013. "The k-dissimilar vehicle routing problem," Working Papers 2013029, University of Antwerp, Faculty of Business and Economics.
    15. TALARICO, Luca & SÖRENSEN, Kenneth & SPRINGAEL, Johan, 2013. "Metaheuristics for the risk-constrained cash-in-transit vehicle routing problem," Working Papers 2013005, University of Antwerp, Faculty of Business and Economics.
    16. Jenelius, Erik, 2010. "User inequity implications of road network vulnerability," The Journal of Transport and Land Use, Center for Transportation Studies, University of Minnesota, vol. 2(3), pages 57-73.
    17. Talarico, L. & Sörensen, K. & Springael, J., 2015. "The k-dissimilar vehicle routing problem," European Journal of Operational Research, Elsevier, vol. 244(1), pages 129-140.
    18. Chung, Byung Do & Park, Sungjae & Kwon, Changhyun, 2018. "Equitable distribution of recharging stations for electric vehicles," Socio-Economic Planning Sciences, Elsevier, vol. 63(C), pages 1-11.
    19. Romero, Natalia & Nozick, Linda K. & Xu, Ningxiong, 2016. "Hazmat facility location and routing analysis with explicit consideration of equity using the Gini coefficient," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 89(C), pages 165-181.
    20. 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.
    21. Rongrong Li & Yee Leung, 2011. "Multi-objective route planning for dangerous goods using compromise programming," Journal of Geographical Systems, Springer, vol. 13(3), pages 249-271, September.
    22. 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).

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