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Control Strategies for Transport Systems with Nonlinear Waiting Costs

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  • Arnold I. Barnett

    (Massachusetts Institute of Technology, Cambridge, Massachusetts)

Abstract

The interaction between a transport company and its passengers is modeled as a cooperative game in which the company, subject to an economic constraint, uses the vehicle dispatch strategy under which a time-related cast function for passengers is minimized. A rudimentary transport system is studied in detail, and the joint optimal strategy for passengers and the transport company is obtained.

Suggested Citation

  • Arnold I. Barnett, 1978. "Control Strategies for Transport Systems with Nonlinear Waiting Costs," Transportation Science, INFORMS, vol. 12(2), pages 119-136, May.
    • Handle: RePEc:inm:ortrsc:v:12:y:1978:i:2:p:119-136
    DOI: 10.1287/trsc.12.2.119
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    Cited by:

    1. Dessouky, Maged & Hall, Randolph & Zhang, Lei & Singh, Ajay, 2003. "Real-time control of buses for schedule coordination at a terminal," Transportation Research Part A: Policy and Practice, Elsevier, vol. 37(2), pages 145-164, February.
    2. Hall, Randolph & Dessouky, Maged & Zhang, Lei & Singh, Ajay & Patel, Vishal, 1999. "Evaluation of ITS Technology for Bus Transit Systems," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt2nq1824t, Institute of Transportation Studies, UC Berkeley.
    3. Jiamin Zhao & Maged Dessouky & Satish Bukkapatnam, 2006. "Optimal Slack Time for Schedule-Based Transit Operations," Transportation Science, INFORMS, vol. 40(4), pages 529-539, November.
    4. Bian, Bomin & Zhu, Ning & Meng, Qiang, 2023. "Real-time cruising speed design approach for multiline bus systems," Transportation Research Part B: Methodological, Elsevier, vol. 170(C), pages 1-24.
    5. Carey, Malachy & Kwiecinski, Andrzej, 1995. "Properties of expected costs and performance measures in stochastic models of scheduled transport," European Journal of Operational Research, Elsevier, vol. 83(1), pages 182-199, May.
    6. Mark D. Hickman, 2001. "An Analytic Stochastic Model for the Transit Vehicle Holding Problem," Transportation Science, INFORMS, vol. 35(3), pages 215-237, August.
    7. Mohammad Reza Amin-Naseri & Vahid Baradaran, 2015. "Accurate Estimation of Average Waiting Time in Public Transportation Systems," Transportation Science, INFORMS, vol. 49(2), pages 213-222, May.

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