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Queuing in Lanes

Author

Listed:
  • E. Hauer

    (University of Toronto, Toronto, Canada)

  • J. G. C. Templeton

    (University of Toronto, Toronto, Canada)

Abstract

A queuing model is presented in which delay stems from a disparity between the order at which service is provided to customers and the order at which they may leave the system. Consider, for example, wives waiting in cars---single file---for the arrival of their husbands by a common train. A car is ready to leave when its passenger takes his seat but may have to wait for the departure of all cars preceding it in the lane. Initially, the probability function of waiting is determined for a single, finite queue. Next, the consequences of splitting the single queue into several parallel queues with identical discipline are explored. The results of the analysis are applied to a parking lot design problem.

Suggested Citation

  • E. Hauer & J. G. C. Templeton, 1972. "Queuing in Lanes," Transportation Science, INFORMS, vol. 6(3), pages 247-259, August.
    • Handle: RePEc:inm:ortrsc:v:6:y:1972:i:3:p:247-259
    DOI: 10.1287/trsc.6.3.247
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    Cited by:

    1. Abhishek, & Legros, Benjamin & Fransoo, Jan C., 2021. "Performance evaluation of stochastic systems with dedicated delivery bays and general on-street parking," Other publications TiSEM 09ed9572-d59c-4f28-a9c4-b, Tilburg University, School of Economics and Management.

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