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Bi-Objective Modelling for Hazardous Materials Road–Rail Multimodal Routing Problem with Railway Schedule-Based Space–Time Constraints

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  • Yan Sun

    (School of Traffic and Transportation, Beijing Jiaotong University, Beijing 100044, China
    Ministry of Education Key Laboratory for Urban Transportation Complex Systems Theory and Technology, Beijing Jiaotong University, Beijing 100044, China)

  • Maoxiang Lang

    (School of Traffic and Transportation, Beijing Jiaotong University, Beijing 100044, China
    Ministry of Education Key Laboratory for Urban Transportation Complex Systems Theory and Technology, Beijing Jiaotong University, Beijing 100044, China)

  • Danzhu Wang

    (Transportation and Economics Research Institute, China Academy of Railway Sciences, Beijing 100081, China)

Abstract

The transportation of hazardous materials is always accompanied by considerable risk that will impact public and environment security. As an efficient and reliable transportation organization, a multimodal service should participate in the transportation of hazardous materials. In this study, we focus on transporting hazardous materials through the multimodal service network and explore the hazardous materials multimodal routing problem from the operational level of network planning. To formulate this problem more practicably, minimizing the total generalized costs of transporting the hazardous materials and the social risk along the planned routes are set as the optimization objectives. Meanwhile, the following formulation characteristics will be comprehensively modelled: (1) specific customer demands; (2) multiple hazardous material flows; (3) capacitated schedule-based rail service and uncapacitated time-flexible road service; and (4) environmental risk constraint. A bi-objective mixed integer nonlinear programming model is first built to formulate the routing problem that combines the formulation characteristics above. Then linear reformations are developed to linearize and improve the initial model so that it can be effectively solved by exact solution algorithms on standard mathematical programming software. By utilizing the normalized weighted sum method, we can generate the Pareto solutions to the bi-objective optimization problem for a specific case. Finally, a large-scale empirical case study from the Beijing–Tianjin–Hebei Region in China is presented to demonstrate the feasibility of the proposed methods in dealing with the practical problem. Various scenarios are also discussed in the case study.

Suggested Citation

  • Yan Sun & Maoxiang Lang & Danzhu Wang, 2016. "Bi-Objective Modelling for Hazardous Materials Road–Rail Multimodal Routing Problem with Railway Schedule-Based Space–Time Constraints," IJERPH, MDPI, vol. 13(8), pages 1-31, July.
    • Handle: RePEc:gam:jijerp:v:13:y:2016:i:8:p:762-:d:74856
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    References listed on IDEAS

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    Cited by:

    1. Zhen-Song Chen & Min Li & Wen-Tao Kong & Kwai-Sang Chin, 2019. "Evaluation and Selection of HazMat Transportation Alternatives: A PHFLTS- and TOPSIS-Integrated Multi-Perspective Approach," IJERPH, MDPI, vol. 16(21), pages 1-33, October.
    2. Apichit Maneengam, 2023. "Multi-Objective Optimization of the Multimodal Routing Problem Using the Adaptive ε-Constraint Method and Modified TOPSIS with the D-CRITIC Method," Sustainability, MDPI, vol. 15(15), pages 1-22, August.
    3. Shuxia Li & Yuedan Zu & Huimin Fang & Liping Liu & Tijun Fan, 2021. "Design Optimization of a HAZMAT Multimodal Hub-and-Spoke Network with Detour," IJERPH, MDPI, vol. 18(23), pages 1-18, November.

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