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Note---Patience is a Virtue in a Simple Model of Repetitively Joining a Queue

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  • Colin E. Bell

    (Department of Management Sciences, University of Iowa, Iowa City, Iowa 52242)

Abstract

Each of n members of a finite customer population must weigh the rewards of service completion against the cost of waiting in a single exponential server queuing system. After completing service, a customer may re-enter the system. In attempting to maximize average return per unit time over an infinite horizon each customer must make a single decision, a choice of arrival rate which must then be used to determine the time until re-entry whenever the customer finishes being served. Equilibrium behavior in the resulting n person game is investigated. Equilibria exist involving a subset of the players who re-enter instantaneously after service while all others abstain from entry. In instances where all customers re-enter instantaneously, everyone could be made better off if it were possible to impose a non-instantaneous arrival rate.

Suggested Citation

  • Colin E. Bell, 1986. "Note---Patience is a Virtue in a Simple Model of Repetitively Joining a Queue," Management Science, INFORMS, vol. 32(6), pages 764-767, June.
    • Handle: RePEc:inm:ormnsc:v:32:y:1986:i:6:p:764-767
    DOI: 10.1287/mnsc.32.6.764
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