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Customers’ abandonment strategy in an M / G / 1 queue

Author

Listed:
  • Eliran Sherzer

    (Ben-Gurion University)

  • Yoav Kerner

    (Ben-Gurion University)

Abstract

We consider an M / G / 1 queue in which the customers, while waiting in line, may renege from it. We show the Nash equilibrium profile among customers and show that it is defined by two sequences of thresholds. For each customer, the decision is based on the observed past (which determines from what sequence the threshold is taken) and the observed queue length (which determines the appropriate element in the chosen sequence). We construct a set of equations that has the Nash equilibrium as its solution and discuss the relationships between the properties of the service time distribution and the properties of the Nash equilibrium, such as uniqueness and finiteness.

Suggested Citation

  • Eliran Sherzer & Yoav Kerner, 2018. "Customers’ abandonment strategy in an M / G / 1 queue," Queueing Systems: Theory and Applications, Springer, vol. 90(1), pages 65-87, October.
    • Handle: RePEc:spr:queues:v:90:y:2018:i:1:d:10.1007_s11134-017-9567-5
    DOI: 10.1007/s11134-017-9567-5
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    References listed on IDEAS

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    1. D. Y. Barrer, 1957. "Queuing with Impatient Customers and Indifferent Clerks," Operations Research, INFORMS, vol. 5(5), pages 644-649, October.
    2. Naor, P, 1969. "The Regulation of Queue Size by Levying Tolls," Econometrica, Econometric Society, vol. 37(1), pages 15-24, January.
    3. D. Y. Barrer, 1957. "Queuing with Impatient Customers and Ordered Service," Operations Research, INFORMS, vol. 5(5), pages 650-656, October.
    Full references (including those not matched with items on IDEAS)

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