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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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    1. Antonis Economou & Athanasia Manou, 2013. "Equilibrium balking strategies for a clearing queueing system in alternating environment," Annals of Operations Research, Springer, vol. 208(1), pages 489-514, September.
    2. Haim Mendelson & Seungjin Whang, 1990. "Optimal Incentive-Compatible Priority Pricing for the M/M/1 Queue," Operations Research, INFORMS, vol. 38(5), pages 870-883, October.
    3. Luyi Yang & Laurens Debo & Varun Gupta, 2017. "Trading Time in a Congested Environment," Management Science, INFORMS, vol. 63(7), pages 2377-2395, July.
    4. Omar Besbes & Costis Maglaras, 2009. "Revenue Optimization for a Make-to-Order Queue in an Uncertain Market Environment," Operations Research, INFORMS, vol. 57(6), pages 1438-1450, December.
    5. Edelson, Noel M & Hildebrand, David K, 1975. "Congestion Tolls for Poisson Queuing Processes," Econometrica, Econometric Society, vol. 43(1), pages 81-92, January.
    6. Ying Chen & John J. Hasenbein, 2020. "Knowledge, congestion, and economics: Parameter uncertainty in Naor’s model," Queueing Systems: Theory and Applications, Springer, vol. 96(1), pages 83-99, October.
    7. Naor, P, 1969. "The Regulation of Queue Size by Levying Tolls," Econometrica, Econometric Society, vol. 37(1), pages 15-24, January.
    8. Ronald W. Wolff, 1982. "Poisson Arrivals See Time Averages," Operations Research, INFORMS, vol. 30(2), pages 223-231, April.
    9. Refael Hassin & Ran I. Snitkovsky, 2020. "Social and Monopoly Optimization in Observable Queues," Operations Research, INFORMS, vol. 68(4), pages 1178-1198, July.
    10. Rafael Hassin, 1995. "Decentralized Regulation of a Queue," Management Science, INFORMS, vol. 41(1), pages 163-173, January.
    11. Neil Keon & G. “Anand” Anandalingam, 2005. "A New Pricing Model for Competitive Telecommunications Services Using Congestion Discounts," INFORMS Journal on Computing, INFORMS, vol. 17(2), pages 248-262, May.
    12. Benjamin Melamed & Ward Whitt, 1990. "On Arrivals That See Time Averages," Operations Research, INFORMS, vol. 38(1), pages 156-172, February.
    13. Moshe Haviv & Ramandeep S. Randhawa, 2014. "Pricing in Queues Without Demand Information," Manufacturing & Service Operations Management, INFORMS, vol. 16(3), pages 401-411, July.
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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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