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Equilibrium Behavior in Tandem Markovian Queues with Heterogeneous Delay-Sensitive Customers

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  • Yiannis Dimitrakopoulos

    (National and Kapodistrian University of Athens)

Abstract

We consider a system of two unobservable Markovian queues in tandem with strategic customers, who are heterogeneous regarding their delay sensitivity. The customers decide upon arrival whether to balk or join the system and receive service in the first queue or in both queues. We analyze their equilibrium strategic behavior which is specified by double-threshold strategies regarding their delay sensitivity parameter (one threshold for each queue). Moreover, we compare the strategic behavior of the heterogeneous customer population with its homogeneous counterpart. We complement our theoretical results with numerical experiments and provide managerial insights into the optimal control of the system parameters.

Suggested Citation

  • Yiannis Dimitrakopoulos, 2023. "Equilibrium Behavior in Tandem Markovian Queues with Heterogeneous Delay-Sensitive Customers," SN Operations Research Forum, Springer, vol. 4(4), pages 1-29, December.
    • Handle: RePEc:spr:snopef:v:4:y:2023:i:4:d:10.1007_s43069-023-00263-y
    DOI: 10.1007/s43069-023-00263-y
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    References listed on IDEAS

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    1. Moshe Haviv & Binyamin Oz, 2018. "Self-Regulation of an Unobservable Queue," Management Science, INFORMS, vol. 64(5), pages 2380-2389, May.
    2. 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.
    3. Colin E. Bell & Shaler Stidham, Jr., 1983. "Individual versus Social Optimization in the Allocation of Customers to Alternative Servers," Management Science, INFORMS, vol. 29(7), pages 831-839, July.
    4. 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.
    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. Benioudakis, Myron & Burnetas, Apostolos & Ioannou, George, 2021. "Lead-time quotations in unobservable make-to-order systems with strategic customers: Risk aversion, load control and profit maximization," European Journal of Operational Research, Elsevier, vol. 289(1), pages 165-176.
    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. Apostolos Burnetas, 2013. "Customer equilibrium and optimal strategies in Markovian queues in series," Annals of Operations Research, Springer, vol. 208(1), pages 515-529, September.
    9. Myron Benioudakis & Apostolos Burnetas & George Ioannou, 2022. "Single versus dynamic lead-time quotations in make-to-order systems with delay-averse customers," Annals of Operations Research, Springer, vol. 318(1), pages 33-65, November.
    10. Naor, P, 1969. "The Regulation of Queue Size by Levying Tolls," Econometrica, Econometric Society, vol. 37(1), pages 15-24, January.
    11. Guo, Pengfei & Hassin, Refael, 2012. "Strategic behavior and social optimization in Markovian vacation queues: The case of heterogeneous customers," European Journal of Operational Research, Elsevier, vol. 222(2), pages 278-286.
    12. 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.
    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. D'Auria, Bernardo & Kanta, Spyridoula, 2011. "Equilibrium strategies in a tandem queue under various levels of information," DES - Working Papers. Statistics and Econometrics. WS ws113325, Universidad Carlos III de Madrid. Departamento de Estadística.
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