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Customers’ strategic behavior in batch arrivals M2/M/1 queue

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  • Ziani, Sofiane
  • Rahmoune, Fazia
  • Radjef, Mohammed Said

Abstract

The investigated problem is the analysis of customers’ strategic behavior in a single server Markovian M2/M/1 queue with batch arrivals of two customers with a reward-cost structure. At their arrival time, customers can decide to join the queue or to balk. The utility of each one depends on his decision, on his partner’s decision and on the system state. Two cases are considered: when the system provides the information about its state (observable case), and when this information is not provided (unobservable case). Both problems are modeled as games in extensive form with complete and imperfect information. We give the Nash equilibria for each corresponding game and we compare between both cases in order to determine the policy which arranges the system’s manager.

Suggested Citation

  • Ziani, Sofiane & Rahmoune, Fazia & Radjef, Mohammed Said, 2015. "Customers’ strategic behavior in batch arrivals M2/M/1 queue," European Journal of Operational Research, Elsevier, vol. 247(3), pages 895-903.
    • Handle: RePEc:eee:ejores:v:247:y:2015:i:3:p:895-903
    DOI: 10.1016/j.ejor.2015.06.040
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    References listed on IDEAS

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    1. Stein, William E. & Rapoport, Amnon & Seale, Darryl A. & Zhang, Hongtao & Zwick, Rami, 2007. "Batch queues with choice of arrivals: Equilibrium analysis and experimental study," Games and Economic Behavior, Elsevier, vol. 59(2), pages 345-363, May.
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    Cited by:

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    3. Zhen Wang & Liwei Liu & Yuanfu Shao & Xudong Chai & Baoxian Chang, 2020. "Equilibrium Joining Strategy in a Batch Transfer Queuing System with Gated Policy," Methodology and Computing in Applied Probability, Springer, vol. 22(1), pages 75-99, March.
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