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Ferry service network design with stochastic demand under user equilibrium flows

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  • An, Kun
  • Lo, Hong K.

Abstract

This paper develops a service reliability-based formulation for ferry service network design with stochastic demand under user equilibrium flows while considering two types of services, regular and ad hoc. Regular services operate with a fixed schedule; whereas ad hoc services are those subcontracted or outsourced to a third party and have a higher unit cost. Two ad hoc provision schemes are studied. Scheme A considers that the demand information is known in advance by passenger reservation, and the company makes use of this information to plan for ad hoc services. In Scheme B, the demand realization is only known as passengers arrive at the piers and the company calls upon ad hoc services in case of demand overflow. In Scheme A, we utilize the notion of service reliability (SR) to address the issue of demand uncertainty and formulate the problem as a two-phase stochastic program in which the schedule of regular services and ad hoc services are derived sequentially. The user equilibrium (UE) assignment with capacity constraint is formulated via a linear programming (LP) approach considering overflow delays. A SR-based gradient solution approach is developed to solve the model. Scheme B, as expected, requires more resources to operate, for which a SR-based non-linear model is developed. The value of reservation to the company is defined as the operating cost difference between these two schemes. We apply the methods to ferry service network design in Hong Kong, and then compare the UE (Scheme A) and system optimal (SO) solutions, in terms of service deployment and computation time, to contrast the solution quality arising from the inclusion of equilibrium flows. The value of advance reservation information between Scheme A and Scheme B is presented as well.

Suggested Citation

  • An, Kun & Lo, Hong K., 2014. "Ferry service network design with stochastic demand under user equilibrium flows," Transportation Research Part B: Methodological, Elsevier, vol. 66(C), pages 70-89.
    • Handle: RePEc:eee:transb:v:66:y:2014:i:c:p:70-89
    DOI: 10.1016/j.trb.2013.10.008
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    References listed on IDEAS

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    2. Aslaksen, Ingvild Eide & Svanberg, Elisabeth & Fagerholt, Kjetil & Johnsen, Lennart C. & Meisel, Frank, 2021. "A combined dial-a-ride and fixed schedule ferry service for coastal cities," Transportation Research Part A: Policy and Practice, Elsevier, vol. 153(C), pages 306-325.
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    9. Wang, Zujian & Qi, Mingyao, 2019. "Service network design considering multiple types of services," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 126(C), pages 1-14.
    10. Lee, Enoch & Cen, Xuekai & Lo, Hong K., 2022. "Scheduling zonal-based flexible bus service under dynamic stochastic demand and Time-dependent travel time," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 168(C).
    11. Škurić, Maja & Maraš, Vladislav & Davidović, Tatjana & Radonjić, Aleksandar, 2021. "Optimal allocating and sizing of passenger ferry fleet in maritime transport," Research in Transportation Economics, Elsevier, vol. 90(C).
    12. Tong, Lu & Zhou, Xuesong & Miller, Harvey J., 2015. "Transportation network design for maximizing space–time accessibility," Transportation Research Part B: Methodological, Elsevier, vol. 81(P2), pages 555-576.
    13. Ng, ManWo & Lo, Hong K., 2016. "Robust models for transportation service network design," Transportation Research Part B: Methodological, Elsevier, vol. 94(C), pages 378-386.
    14. Huang, Kai & An, Kun & Correia, Gonçalo Homem de Almeida, 2020. "Planning station capacity and fleet size of one-way electric carsharing systems with continuous state of charge functions," European Journal of Operational Research, Elsevier, vol. 287(3), pages 1075-1091.
    15. Liping Ge & Stefan Voß & Lin Xie, 2022. "Robustness and disturbances in public transport," Public Transport, Springer, vol. 14(1), pages 191-261, March.
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    19. An, Kun & Lo, Hong K., 2015. "Robust transit network design with stochastic demand considering development density," Transportation Research Part B: Methodological, Elsevier, vol. 81(P3), pages 737-754.

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