IDEAS home Printed from https://ideas.repec.org/a/eee/transb/v66y2014icp70-89.html
   My bibliography  Save this article

Ferry service network design with stochastic demand under user equilibrium flows

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0191261513001811
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.trb.2013.10.008?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Wang, Shuaian & Meng, Qiang & Yang, Hai, 2013. "Global optimization methods for the discrete network design problem," Transportation Research Part B: Methodological, Elsevier, vol. 50(C), pages 42-60.
    2. Lo, Hong K. & Szeto, W. Y., 2002. "A cell-based variational inequality formulation of the dynamic user optimal assignment problem," Transportation Research Part B: Methodological, Elsevier, vol. 36(5), pages 421-443, June.
    3. Lo, Hong K. & McCord, Mark R., 1995. "Routing through dynamic ocean currents: General heuristics and empirical results in the gulf stream region," Transportation Research Part B: Methodological, Elsevier, vol. 29(2), pages 109-124, April.
    4. Lai, M. F. & Lo, Hong K., 2004. "Ferry service network design: optimal fleet size, routing, and scheduling," Transportation Research Part A: Policy and Practice, Elsevier, vol. 38(4), pages 305-328, May.
    5. Wang, Shuaian, 2013. "Essential elements in tactical planning models for container liner shipping," Transportation Research Part B: Methodological, Elsevier, vol. 54(C), pages 84-99.
    6. Yang, Hai & Bell, Michael G. H., 1997. "Traffic restraint, road pricing and network equilibrium," Transportation Research Part B: Methodological, Elsevier, vol. 31(4), pages 303-314, August.
    7. Yang, Hai & Bell, Michael G. H. & Meng, Qiang, 2000. "Modeling the capacity and level of service of urban transportation networks," Transportation Research Part B: Methodological, Elsevier, vol. 34(4), pages 255-275, May.
    8. Bell, Michael G. H., 1995. "Stochastic user equilibrium assignment in networks with queues," Transportation Research Part B: Methodological, Elsevier, vol. 29(2), pages 125-137, April.
    9. Lam, W. H. K. & Gao, Z. Y. & Chan, K. S. & Yang, H., 1999. "A stochastic user equilibrium assignment model for congested transit networks," Transportation Research Part B: Methodological, Elsevier, vol. 33(5), pages 351-368, June.
    10. Stella Dafermos, 1980. "Traffic Equilibrium and Variational Inequalities," Transportation Science, INFORMS, vol. 14(1), pages 42-54, February.
    11. Lo, Hong K. & An, Kun & Lin, Wei-hua, 2013. "Ferry service network design under demand uncertainty," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 59(C), pages 48-70.
    12. Wang, David Z.W. & Lo, Hong K., 2008. "Multi-fleet ferry service network design with passenger preferences for differential services," Transportation Research Part B: Methodological, Elsevier, vol. 42(9), pages 798-822, November.
    13. Wang, David Z.W. & Lo, Hong K., 2010. "Global optimum of the linearized network design problem with equilibrium flows," Transportation Research Part B: Methodological, Elsevier, vol. 44(4), pages 482-492, May.
    14. Wang, Shuaian & Meng, Qiang, 2012. "Liner ship route schedule design with sea contingency time and port time uncertainty," Transportation Research Part B: Methodological, Elsevier, vol. 46(5), pages 615-633.
    15. Patriksson, Michael, 2008. "On the applicability and solution of bilevel optimization models in transportation science: A study on the existence, stability and computation of optimal solutions to stochastic mathematical programs," Transportation Research Part B: Methodological, Elsevier, vol. 42(10), pages 843-860, December.
    16. Zhang, Chao & Chen, Xiaojun & Sumalee, Agachai, 2011. "Robust Wardrop's user equilibrium assignment under stochastic demand and supply: Expected residual minimization approach," Transportation Research Part B: Methodological, Elsevier, vol. 45(3), pages 534-552, March.
    17. Szeto, W. Y. & Lo, Hong K., 2004. "A cell-based simultaneous route and departure time choice model with elastic demand," Transportation Research Part B: Methodological, Elsevier, vol. 38(7), pages 593-612, August.
    18. J.M. Martínez & B.F. Svaiter, 2003. "A Practical Optimality Condition Without Constraint Qualifications for Nonlinear Programming," Journal of Optimization Theory and Applications, Springer, vol. 118(1), pages 117-133, July.
    19. Lo, Hong K. & McCord, Mark R., 1998. "Adaptive ship routing through stochastic ocean currents: general formulations and empirical results," Transportation Research Part A: Policy and Practice, Elsevier, vol. 32(7), pages 547-561, September.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Zhang, Wei & Liu, Jiahui & Wang, Kai & Wang, Liang, 2024. "Routing and charging optimization for electric bus operations," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 181(C).
    2. Bell, Michael G.H. & Pan, Jing-Jing & Teye, Collins & Cheung, Kam-Fung & Perera, Supun, 2020. "An entropy maximizing approach to the ferry network design problem," Transportation Research Part B: Methodological, Elsevier, vol. 132(C), pages 15-28.
    3. 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.
    4. Lee, Enoch & Cen, Xuekai & Lo, Hong K., 2021. "Zonal-based flexible bus service under elastic stochastic demand," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 152(C).
    5. Wang, Zujian & Qi, Mingyao & Cheng, Chun & Zhang, Canrong, 2019. "A hybrid algorithm for large-scale service network design considering a heterogeneous fleet," European Journal of Operational Research, Elsevier, vol. 276(2), pages 483-494.
    6. Liang, Jinpeng & Wu, Jianjun & Gao, Ziyou & Sun, Huijun & Yang, Xin & Lo, Hong K., 2019. "Bus transit network design with uncertainties on the basis of a metro network: A two-step model framework," Transportation Research Part B: Methodological, Elsevier, vol. 126(C), pages 115-138.
    7. Huang, Kai & An, Kun & Rich, Jeppe & Ma, Wanjing, 2020. "Vehicle relocation in one-way station-based electric carsharing systems: A comparative study of operator-based and user-based methods," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 142(C).
    8. An, Kun & Lo, Hong K., 2016. "Two-phase stochastic program for transit network design under demand uncertainty," Transportation Research Part B: Methodological, Elsevier, vol. 84(C), pages 157-181.
    9. Li, Lu & Lo, Hong K. & Huang, Wei & Xiao, Feng, 2021. "Mixed bus fleet location-routing-scheduling under range uncertainty," Transportation Research Part B: Methodological, Elsevier, vol. 146(C), pages 155-179.
    10. 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.
    11. 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).
    12. 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).
    13. 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.
    14. 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.
    15. 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.
    16. Liping Ge & Stefan Voß & Lin Xie, 2022. "Robustness and disturbances in public transport," Public Transport, Springer, vol. 14(1), pages 191-261, March.
    17. Mingqiang Yin & Min Huang & Xiaohu Qian & Dazhi Wang & Xingwei Wang & Loo Hay Lee, 2023. "Fourth-party logistics network design with service time constraint under stochastic demand," Journal of Intelligent Manufacturing, Springer, vol. 34(3), pages 1203-1227, March.
    18. Zhang, X. & Liu, X., 2022. "A two-stage robust model for express service network design with surging demand," European Journal of Operational Research, Elsevier, vol. 299(1), pages 154-167.
    19. An, Kun & Ouyang, Yanfeng, 2016. "Robust grain supply chain design considering post-harvest loss and harvest timing equilibrium," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 88(C), pages 110-128.
    20. 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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Bell, Michael G.H. & Pan, Jing-Jing & Teye, Collins & Cheung, Kam-Fung & Perera, Supun, 2020. "An entropy maximizing approach to the ferry network design problem," Transportation Research Part B: Methodological, Elsevier, vol. 132(C), pages 15-28.
    2. An, Kun & Lo, Hong K., 2016. "Two-phase stochastic program for transit network design under demand uncertainty," Transportation Research Part B: Methodological, Elsevier, vol. 84(C), pages 157-181.
    3. 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.
    4. 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.
    5. Seungkyu Ryu & Anthony Chen & Xiangdong Xu & Keechoo Choi, 2014. "A Dual Approach for Solving the Combined Distribution and Assignment Problem with Link Capacity Constraints," Networks and Spatial Economics, Springer, vol. 14(2), pages 245-270, June.
    6. 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.
    7. Wang, Yu & Liu, Haoxiang & Fan, Yinchao & Ding, Jianxun & Long, Jiancheng, 2022. "Large-scale multimodal transportation network models and algorithms-Part II: Network capacity and network design problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 167(C).
    8. Wang, David Z.W. & Liu, Haoxiang & Szeto, W.Y., 2015. "A novel discrete network design problem formulation and its global optimization solution algorithm," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 79(C), pages 213-230.
    9. 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).
    10. Hua Wang & Xiaoning Zhang, 2017. "Game theoretical transportation network design among multiple regions," Annals of Operations Research, Springer, vol. 249(1), pages 97-117, February.
    11. Meng, Qiang & Du, Yuquan & Wang, Yadong, 2016. "Shipping log data based container ship fuel efficiency modeling," Transportation Research Part B: Methodological, Elsevier, vol. 83(C), pages 207-229.
    12. Ye, Jiao & Jiang, Yu & Chen, Jun & Liu, Zhiyuan & Guo, Renzhong, 2021. "Joint optimisation of transfer location and capacity for a capacitated multimodal transport network with elastic demand: a bi-level programming model and paradoxes," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 156(C).
    13. Liu, Jiangtao & Zhou, Xuesong, 2016. "Capacitated transit service network design with boundedly rational agents," Transportation Research Part B: Methodological, Elsevier, vol. 93(PA), pages 225-250.
    14. Qixiu Cheng & Zhiyuan Liu & Feifei Liu & Ruo Jia, 2017. "Urban dynamic congestion pricing: an overview and emerging research needs," International Journal of Urban Sciences, Taylor & Francis Journals, vol. 21(0), pages 3-18, August.
    15. Xiaomei Dong & Xingju Cai & Deren Han & Zhili Ge, 2020. "Solving a Class of Variational Inequality Problems with a New Inexact Strategy," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 37(01), pages 1-20, January.
    16. Nayan, Ashish & Wang, David Z.W., 2017. "Optimal bus transit route packaging in a privatized contracting regime," Transportation Research Part A: Policy and Practice, Elsevier, vol. 97(C), pages 146-157.
    17. Li, Xiangyong & Ding, Yi & Pan, Kai & Jiang, Dapei & Aneja, Y.P., 2020. "Single-path service network design problem with resource constraints," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 140(C).
    18. Zhu, Feng & Ukkusuri, Satish V., 2017. "Efficient and fair system states in dynamic transportation networks," Transportation Research Part B: Methodological, Elsevier, vol. 104(C), pages 272-289.
    19. Ferrari, Paolo, 2010. "Willingness to spend and road pricing rates," Transport Policy, Elsevier, vol. 17(3), pages 160-172, May.
    20. Du, Jie & Wong, S.C. & Shu, Chi-Wang & Xiong, Tao & Zhang, Mengping & Choi, Keechoo, 2013. "Revisiting Jiang’s dynamic continuum model for urban cities," Transportation Research Part B: Methodological, Elsevier, vol. 56(C), pages 96-119.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:transb:v:66:y:2014:i:c:p:70-89. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/548/description#description .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.