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Equilibrium threshold joining strategies in partially observable batch service queueing systems

Author

Listed:
  • Olga Bountali

    (Southern Methodist University)

  • Antonis Economou

    (University of Athens)

Abstract

We study the strategic customer behavior in queueing systems with batch services under incomplete information. In particular, we assume that arriving customers have the opportunity to observe only the number of waiting batches upon arrival and, afterwards, they make their join/balk decisions. We prove that equilibrium strategies always exist within the legitimate class of threshold strategies, but they may not be unique. We also provide an algorithmic scheme for their computation. Moreover, we compare the strategic behavior under this information level with the corresponding behavior in the complete information case.

Suggested Citation

  • Olga Bountali & Antonis Economou, 2019. "Equilibrium threshold joining strategies in partially observable batch service queueing systems," Annals of Operations Research, Springer, vol. 277(2), pages 231-253, June.
    • Handle: RePEc:spr:annopr:v:277:y:2019:i:2:d:10.1007_s10479-017-2630-0
    DOI: 10.1007/s10479-017-2630-0
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    References listed on IDEAS

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    1. Naor, P, 1969. "The Regulation of Queue Size by Levying Tolls," Econometrica, Econometric Society, vol. 37(1), pages 15-24, January.
    2. 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.
    3. I. Adiri & U. Yechiali, 1974. "Optimal Priority-Purchasing and Pricing Decisions in Nonmonopoly and Monopoly Queues," Operations Research, INFORMS, vol. 22(5), pages 1051-1066, October.
    4. Olga Boudali & Antonis Economou, 2013. "The effect of catastrophes on the strategic customer behavior in queueing systems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 60(7), pages 571-587, October.
    5. Guo, Pengfei & Zipkin, Paul, 2009. "The effects of the availability of waiting-time information on a balking queue," European Journal of Operational Research, Elsevier, vol. 198(1), pages 199-209, October.
    6. Athanasia Manou & Antonis Economou & Fikri Karaesmen, 2014. "Strategic Customers in a Transportation Station: When Is It Optimal to Wait?," Operations Research, INFORMS, vol. 62(4), pages 910-925, August.
    7. Pengfei Guo & Paul Zipkin, 2007. "Analysis and Comparison of Queues with Different Levels of Delay Information," Management Science, INFORMS, vol. 53(6), pages 962-970, June.
    8. Refael Hassin & Moshe Haviv, 1997. "Equilibrium Threshold Strategies: The Case of Queues with Priorities," Operations Research, INFORMS, vol. 45(6), pages 966-973, December.
    9. Bountali, Olga & Economou, Antonis, 2017. "Equilibrium joining strategies in batch service queueing systems," European Journal of Operational Research, Elsevier, vol. 260(3), pages 1142-1151.
    10. Edelson, Noel M & Hildebrand, David K, 1975. "Congestion Tolls for Poisson Queuing Processes," Econometrica, Econometric Society, vol. 43(1), pages 81-92, January.
    11. Boudali, Olga & Economou, Antonis, 2012. "Optimal and equilibrium balking strategies in the single server Markovian queue with catastrophes," European Journal of Operational Research, Elsevier, vol. 218(3), pages 708-715.
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    Cited by:

    1. Zaiming Liu & Can Cao & Shan Gao, 2019. "Equilibrium Joining Strategies in the Geo / Geo K /1 Queueing System," Mathematics, MDPI, vol. 7(11), pages 1-16, November.
    2. Ayane Nakamura & Tuan Phung-Duc, 2023. "Equilibrium Analysis for Batch Service Queueing Systems with Strategic Choice of Batch Size," Mathematics, MDPI, vol. 11(18), pages 1-22, September.
    3. Dimitrios Logothetis & Antonis Economou, 2023. "The impact of information on transportation systems with strategic customers," Production and Operations Management, Production and Operations Management Society, vol. 32(7), pages 2189-2206, July.

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