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Operating Characteristics of a Simple Shuttle under Local Dispatching Rules

Author

Listed:
  • Edward Ignall

    (Columbia University, New York, New York)

  • Peter Kolesar

    (The New York City-Rand Institute, New York, New York)

Abstract

We treat a transportation system with Poisson passenger arrivals at each of two terminals and a carrier of capacity one that shuttles back and forth between the terminals. We study the consequences of the control decision: how long should the carrier wait empty at a terminal? This dispatch decision is made without knowledge of the queue at the other terminal. Exact and approximate expressions are obtained for the number of carrier trips per unit time and average queue size at each terminal. They are used to show that it is best never to hold the carrier at the slow terminal and not to randomize in the decision process. Further, we show that holding the carrier at the fast terminal sometimes reduces both trip rate and the sum of the average queue sizes.

Suggested Citation

  • Edward Ignall & Peter Kolesar, 1972. "Operating Characteristics of a Simple Shuttle under Local Dispatching Rules," Operations Research, INFORMS, vol. 20(6), pages 1077-1088, December.
    • Handle: RePEc:inm:oropre:v:20:y:1972:i:6:p:1077-1088
    DOI: 10.1287/opre.20.6.1077
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    Cited by:

    1. Dall'Orto, Leonardo Campo & Crainic, Teodor Gabriel & Leal, Jose Eugenio & Powell, Warren B., 2006. "The single-node dynamic service scheduling and dispatching problem," European Journal of Operational Research, Elsevier, vol. 170(1), pages 1-23, April.
    2. Papadaki, Katerina P. & Powell, Warren B., 2002. "Exploiting structure in adaptive dynamic programming algorithms for a stochastic batch service problem," European Journal of Operational Research, Elsevier, vol. 142(1), pages 108-127, October.
    3. Barron, Yonit, 2016. "Clearing control policies for MAP inventory process with lost sales," European Journal of Operational Research, Elsevier, vol. 251(2), pages 495-508.
    4. Katerina P. Papadaki & Warren B. Powell, 2003. "An adaptive dynamic programming algorithm for a stochastic multiproduct batch dispatch problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 50(7), pages 742-769, October.
    5. Sumit Kunnumkal & Huseyin Topaloglu, 2008. "Exploiting the Structural Properties of the Underlying Markov Decision Problem in the Q-Learning Algorithm," INFORMS Journal on Computing, INFORMS, vol. 20(2), pages 288-301, May.

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