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Optimal Slack Time for Schedule-Based Transit Operations

Author

Listed:
  • Jiamin Zhao

    (Oracle Corporation, Redwood Shores, California 94065)

  • Maged Dessouky

    (Daniel J. Epstein Department of Industrial and Systems Engineering, University of Southern California, Los Angeles, California 90089-0193)

  • Satish Bukkapatnam

    (School of Industrial Engineering and Management, Oklahoma State University, Stillwater, Oklahoma 74078)

Abstract

To improve service reliability, many transit agencies include significant amounts of slack in the schedule. However, too much slack in the schedule reduces service frequency, given a fixed vehicle fleet size. We study the problem of determining the optimal slack that minimizes the passengers’ expected waiting times under schedule-based control. By applying a D/G/c queue model, we show that the system is stable if slack is added in the schedule. For a single-bus loop transit network, we derive convexity of mean and variance of bus delays and provide an exact solution if the travel time is exponentially distributed. For the case of multiple buses and other travel time distributions, we provide several approximation approaches and compare them to simulation results. The simulation results show that our approximations are good for interval of appropriate slack, which often contains the optimal value.

Suggested Citation

  • 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.
    • Handle: RePEc:inm:ortrsc:v:40:y:2006:i:4:p:529-539
    DOI: 10.1287/trsc.1060.0170
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    References listed on IDEAS

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    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.
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