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Allocation of Waiting Time by Trading in Position on a G/M/S Queue

Author

Listed:
  • Daniel M. Rosenblum

    (Rutgers University, Newark, New Jersey)

Abstract

Customers on an S -server queue with exponential service times face losses due to waiting that are proportional to waiting time, with different loss rates. Customers are otherwise identical. They have complete knowledge of each other's loss rates. Instead of bribing a queue manager for priority assignment, they buy and sell queue positions among themselves. It is shown that the resulting market in queue positions optimally allocates waiting time. The transactions that can occur are completely characterized, including balking and reneging rules.

Suggested Citation

  • Daniel M. Rosenblum, 1992. "Allocation of Waiting Time by Trading in Position on a G/M/S Queue," Operations Research, INFORMS, vol. 40(3-supplem), pages 338-342, June.
  • Handle: RePEc:inm:oropre:v:40:y:1992:i:3-supplement-2:p:s338-s342
    DOI: 10.1287/opre.40.3.S338
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    Cited by:

    1. Anouar El Haji & Sander Onderstal, 2019. "Trading places: An experimental comparison of reallocation mechanisms for priority queuing," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 28(4), pages 670-686, November.
    2. Luyi Yang & Zhongbin Wang & Shiliang Cui, 2021. "A Model of Queue Scalping," Management Science, INFORMS, vol. 67(11), pages 6803-6821, November.
    3. William P. Barnett & Daniel A. Levinthal, 2017. "Special Issue Introduction: Evolutionary Logics of Strategy and Organization," Strategy Science, INFORMS, vol. 2(1), pages 1-1, March.
    4. Luyi Yang & Laurens Debo & Varun Gupta, 2017. "Trading Time in a Congested Environment," Management Science, INFORMS, vol. 63(7), pages 2377-2395, July.
    5. Shiliang Cui & Zhongbin Wang & Luyi Yang, 2020. "The Economics of Line-Sitting," Management Science, INFORMS, vol. 66(1), pages 227-242, January.

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