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A chance-constrained stochastic approach to intermodal container routing problems

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  • Yi Zhao
  • Ronghui Liu
  • Xi Zhang
  • Anthony Whiteing

Abstract

We consider a container routing problem with stochastic time variables in a sea-rail intermodal transportation system. The problem is formulated as a binary integer chance-constrained programming model including stochastic travel times and stochastic transfer time, with the objective of minimising the expected total cost. Two chance constraints are proposed to ensure that the container service satisfies ship fulfilment and cargo on-time delivery with pre-specified probabilities. A hybrid heuristic algorithm is employed to solve the binary integer chance-constrained programming model. Two case studies are conducted to demonstrate the feasibility of the proposed model and to analyse the impact of stochastic variables and chance-constraints on the optimal solution and total cost.

Suggested Citation

  • Yi Zhao & Ronghui Liu & Xi Zhang & Anthony Whiteing, 2018. "A chance-constrained stochastic approach to intermodal container routing problems," PLOS ONE, Public Library of Science, vol. 13(2), pages 1-22, February.
    • Handle: RePEc:plo:pone00:0192275
    DOI: 10.1371/journal.pone.0192275
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    Cited by:

    1. Thibault Delbart & Yves Molenbruch & Kris Braekers & An Caris, 2021. "Uncertainty in Intermodal and Synchromodal Transport: Review and Future Research Directions," Sustainability, MDPI, vol. 13(7), pages 1-25, April.
    2. Lin Li & Qiangwei Zhang & Tie Zhang & Yanbiao Zou & Xing Zhao, 2023. "Optimum Route and Transport Mode Selection of Multimodal Transport with Time Window under Uncertain Conditions," Mathematics, MDPI, vol. 11(14), pages 1-25, July.
    3. Chunjiao Shao & Haiyan Wang & Meng Yu, 2022. "Multi-Objective Optimization of Customer-Centered Intermodal Freight Routing Problem Based on the Combination of DRSA and NSGA-III," Sustainability, MDPI, vol. 14(5), pages 1-25, March.
    4. Dandan Chen & Yong Zhang & Liangpeng Gao & Russell G. Thompson, 2019. "Optimizing Multimodal Transportation Routes Considering Container Use," Sustainability, MDPI, vol. 11(19), pages 1-18, September.
    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.
    6. Yi Zhao & Qingwan Xue & Xi Zhang, 2018. "Stochastic Empty Container Repositioning Problem with CO 2 Emission Considerations for an Intermodal Transportation System," Sustainability, MDPI, vol. 10(11), pages 1-24, November.

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