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Equilibrium Threshold Strategies: The Case of Queues with Priorities

Author

Listed:
  • Refael Hassin

    (Tel Aviv University, Tel Aviv, Israel)

  • Moshe Haviv

    (The Hebrew University, Jerusalem, Israel)

Abstract

Multiplicity of solutions is typical for systems where the individual's tendency to act in a certain way increases when more of the other individuals in the population act in this way. We provide a detailed analysis of a queueing model in which two priority levels can be purchased. In particular, we compute all of the Nash equilibrium strategies (pure and mixed) of the threshold type.

Suggested Citation

  • Refael Hassin & Moshe Haviv, 1997. "Equilibrium Threshold Strategies: The Case of Queues with Priorities," Operations Research, INFORMS, vol. 45(6), pages 966-973, December.
    • Handle: RePEc:inm:oropre:v:45:y:1997:i:6:p:966-973
    DOI: 10.1287/opre.45.6.966
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    Citations

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    Cited by:

    1. Ghosh, Souvik & Hassin, Refael, 2021. "Inefficiency in stochastic queueing systems with strategic customers," European Journal of Operational Research, Elsevier, vol. 295(1), pages 1-11.
    2. Laurens Debo & Senthil Veeraraghavan, 2014. "Equilibrium in Queues Under Unknown Service Times and Service Value," Operations Research, INFORMS, vol. 62(1), pages 38-57, February.
    3. Laurens G. Debo & Christine Parlour & Uday Rajan, 2012. "Signaling Quality via Queues," Management Science, INFORMS, vol. 58(5), pages 876-891, May.
    4. Lian, Zhaotong & Gu, Xinhua & Wu, Jinbiao, 2016. "A re-examination of experience service offering and regular service pricing under profit maximization," European Journal of Operational Research, Elsevier, vol. 254(3), pages 907-915.
    5. Mark Fackrell & Peter Taylor & Jiesen Wang, 2021. "Strategic customer behavior in an M/M/1 feedback queue," Queueing Systems: Theory and Applications, Springer, vol. 97(3), pages 223-259, April.
    6. Dimitrakopoulos, Y. & Burnetas, A.N., 2016. "Customer equilibrium and optimal strategies in an M/M/1 queue with dynamic service control," European Journal of Operational Research, Elsevier, vol. 252(2), pages 477-486.
    7. Wang, Jinting & Zhang, Feng, 2013. "Strategic joining in M/M/1 retrial queues," European Journal of Operational Research, Elsevier, vol. 230(1), pages 76-87.
    8. 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.
    9. Mor Armony & Constantinos Maglaras, 2004. "Contact Centers with a Call-Back Option and Real-Time Delay Information," Operations Research, INFORMS, vol. 52(4), pages 527-545, August.
    10. Zhongbin Wang & Yunan Liu & Lei Fang, 2022. "Pay to activate service in vacation queues," Production and Operations Management, Production and Operations Management Society, vol. 31(6), pages 2609-2627, June.
    11. 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.
    12. Gopinath Panda & Veena Goswami, 2022. "Equilibrium Joining Strategies of Positive Customers in a Markovian Queue with Negative Arrivals and Working Vacations," Methodology and Computing in Applied Probability, Springer, vol. 24(3), pages 1439-1466, September.
    13. Pengfei Guo & Refael Hassin, 2011. "Strategic Behavior and Social Optimization in Markovian Vacation Queues," Operations Research, INFORMS, vol. 59(4), pages 986-997, August.
    14. 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.
    15. Antonis Economou & Spyridoula Kanta, 2011. "Equilibrium customer strategies and social–profit maximization in the single‐server constant retrial queue," Naval Research Logistics (NRL), John Wiley & Sons, vol. 58(2), pages 107-122, March.
    16. Chamberlain, Jonathan & Simhon, Eran & Starobinski, David, 2021. "Preemptible queues with advance reservations: Strategic behavior and revenue management," European Journal of Operational Research, Elsevier, vol. 293(2), pages 561-578.
    17. Zhongbin Wang & Luyi Yang & Shiliang Cui & Jinting Wang, 2021. "In-queue priority purchase: a dynamic game approach," Queueing Systems: Theory and Applications, Springer, vol. 97(3), pages 343-381, April.
    18. Luyi Yang & Laurens G. Debo & Varun Gupta, 2019. "Search Among Queues Under Quality Differentiation," Management Science, INFORMS, vol. 65(8), pages 3605-3623, August.
    19. Opher Baron & Antonis Economou & Athanasia Manou, 2022. "Increasing social welfare with delays: Strategic customers in the M/G/1 orbit queue," Production and Operations Management, Production and Operations Management Society, vol. 31(7), pages 2907-2924, July.
    20. Roei Engel & Refael Hassin, 2017. "Customer equilibrium in a single-server system with virtual and system queues," Queueing Systems: Theory and Applications, Springer, vol. 87(1), pages 161-180, October.
    21. Zhao, Chen & Wang, Zhongbin, 2023. "The impact of line-sitting on a two-server queueing system," European Journal of Operational Research, Elsevier, vol. 308(2), pages 782-800.
    22. S. Srivatsa Srinivas & Rahul R. Marathe, 2020. "Equilibrium in a finite capacity M/M/1 queue with unknown service rates consisting of strategic and non-strategic customers," Queueing Systems: Theory and Applications, Springer, vol. 96(3), pages 329-356, December.
    23. R.E. Lillo, 2001. "Optimal control of an M/G/1 queue with impatient priority customers," Naval Research Logistics (NRL), John Wiley & Sons, vol. 48(3), pages 201-209, April.
    24. 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.
    25. Yasushi Masuda & Akira Tsuji, 2019. "Congestion Control for a System with Parallel Stations and Homogeneous Customers Using Priority Passes," Networks and Spatial Economics, Springer, vol. 19(1), pages 293-318, March.

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