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Modeling the Multicommodity Multimodal Routing Problem with Schedule-Based Services and Carbon Dioxide Emission Costs

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  • Yan Sun
  • Maoxiang Lang

Abstract

We explore a freight routing problem wherein the aim is to assign optimal routes to move commodities through a multimodal transportation network. This problem belongs to the operational level of service network planning. The following formulation characteristics will be comprehensively considered: (1) multicommodity flow routing; (2) a capacitated multimodal transportation network with schedule-based rail services and time-flexible road services; (3) carbon dioxide emissions consideration; and (4) a generalized costs optimum oriented to customer demands. The specific planning of freight routing is thus defined as a capacitated time-sensitive multicommodity multimodal generalized shortest path problem. To solve this problem systematically, we first establish a node-arc-based mixed integer nonlinear programming model that combines the above formulation characteristics in a comprehensive manner. Then, we develop a linearization method to transform the proposed model into a linear one. Finally, a computational experiment from the Chinese inland container export business is presented to demonstrate the feasibility of the model and linearization method. The computational results indicate that implementing the proposed model and linearization method in the mathematical programming software Lingo can effectively solve the large-scale practical multicommodity multimodal transportation routing problem.

Suggested Citation

  • Yan Sun & Maoxiang Lang, 2015. "Modeling the Multicommodity Multimodal Routing Problem with Schedule-Based Services and Carbon Dioxide Emission Costs," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-21, December.
  • Handle: RePEc:hin:jnlmpe:406218
    DOI: 10.1155/2015/406218
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    Cited by:

    1. 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.
    2. Qi, Yingxiu & Harrod, Steven & Psaraftis, Harilaos N. & Lang, Maoxiang, 2022. "Transport service selection and routing with carbon emissions and inventory costs consideration in the context of the Belt and Road Initiative," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 159(C).
    3. Rizwan Shoukat, 2023. "Multimodal or intermodal: greenhouse gas emissions in less than container load in China–Pakistan trade," Environment Systems and Decisions, Springer, vol. 43(2), pages 265-280, June.
    4. Fines Miyoba & Egbert Mujuni & Musa Ndiaye & Hastings M. Libati & Adnan M. Abu-Mahfouz, 2024. "Sustainable Rail/Road Unimodal Transportation of Bulk Cargo in Zambia: A Review of Algorithm-Based Optimization Techniques," Mathematics, MDPI, vol. 12(2), pages 1-19, January.
    5. Yan Sun & Xinya Li, 2019. "Fuzzy Programming Approaches for Modeling a Customer-Centred Freight Routing Problem in the Road-Rail Intermodal Hub-and-Spoke Network with Fuzzy Soft Time Windows and Multiple Sources of Time Uncerta," Mathematics, MDPI, vol. 7(8), pages 1-40, August.

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