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Strategic behavior in queues with arrival rate uncertainty

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  • Hassin, Refael
  • Haviv, Moshe
  • Oz, Binyamin

Abstract

This paper shows how to account for arrival rate uncertainty in the analysis of queueing models with strategic customer behavior. We consider a general queueing model with a Poisson arrival process whose rate is random, and realized once for the entire process. We show that the distribution of the arrival rate at arrival instants is the size-biased counterpart of the original distribution. In particular, the ASTA (arrivals see time averages) property does not hold but rather a rate-biased version of it which we define and coin by the term RASTA (Rate-biased ASTA). We show that the RASTA phenomenon plays a crucial role in the analysis of strategic behavior of customers who evaluate the consequences of the actions they take upon arrival. By studying such a system with a single server and strategic customers who decide whether to join or balk without observing the queue, we exemplify the importance of RASTA in deriving the equilibrium behavior.

Suggested Citation

  • Hassin, Refael & Haviv, Moshe & Oz, Binyamin, 2023. "Strategic behavior in queues with arrival rate uncertainty," European Journal of Operational Research, Elsevier, vol. 309(1), pages 217-224.
    • Handle: RePEc:eee:ejores:v:309:y:2023:i:1:p:217-224
    DOI: 10.1016/j.ejor.2023.01.015
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    References listed on IDEAS

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    Cited by:

    1. van Eekelen, Wouter, 2023. "Distributionally robust views on queues and related stochastic models," Other publications TiSEM 9b99fc05-9d68-48eb-ae8c-9, Tilburg University, School of Economics and Management.

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