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Strategic customer behavior in a two-stage batch processing system

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  • Olga Bountali

    (University of Toronto)

  • Antonis Economou

    (National and Kapodistrian University of Athens)

Abstract

We consider a two-stage service system with batch processing. More specifically, customers arrive according to a Poisson process at the first stage of the system, where they do not receive any service, but wait until a number K of them are accumulated. Then, these K customers form a batch which is instantaneously transferred to the second stage where the batches are served sequentially, as single units, by a single server. We derive customer equilibrium strategies, regarding the joining/balking dilemma, for the (partially) observable case where the customers are informed upon arrival about the number of present customers at the first stage. We prove the existence and study the uniqueness of equilibrium strategies and give a simple procedure for their computation. Moreover, we juxtapose the customer strategic behavior in this system with the corresponding behavior in the unobservable system and study the effect of information on the resulting social welfare per time unit under equilibrium.

Suggested Citation

  • Olga Bountali & Antonis Economou, 2019. "Strategic customer behavior in a two-stage batch processing system," Queueing Systems: Theory and Applications, Springer, vol. 93(1), pages 3-29, October.
    • Handle: RePEc:spr:queues:v:93:y:2019:i:1:d:10.1007_s11134-019-09615-0
    DOI: 10.1007/s11134-019-09615-0
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    References listed on IDEAS

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    Cited by:

    1. Nimrod Dvir & Refael Hassin & Uri Yechiali, 2020. "Strategic behaviour in a tandem queue with alternating server," Queueing Systems: Theory and Applications, Springer, vol. 96(3), pages 205-244, December.
    2. Tzvi Alon & Moshe Haviv, 2023. "Choosing a batch to be processed," Annals of Operations Research, Springer, vol. 326(1), pages 67-87, July.

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