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Strategic behavior in an observable fluid queue with an alternating service process

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  • Economou, Antonis
  • Manou, Athanasia

Abstract

We consider a fluid queue with two modes of service, that represents a production facility, where the processing of the customers (units) is typically carried out at a much faster time-scale than the machine-related processes. We examine the strategic behavior of the customers, regarding the joining/balking dilemma, under two levels of information upon arrival. Specifically, just after arriving and before making the decision, a customer observes the level of the fluid, but may or may not get informed about the state of the server (fast/slow). Assuming that the customers evaluate their utilities based on a natural reward/cost structure, which incorporates their desire for processing and their unwillingness to wait, we derive symmetric equilibrium strategy profiles. Moreover, we illustrate various effects of the information level on the strategic behavior of the customers. The corresponding social optimization problem is also studied and the inefficiency of the equilibrium strategies is quantified via the Price of Anarchy (PoA) measure.

Suggested Citation

  • Economou, Antonis & Manou, Athanasia, 2016. "Strategic behavior in an observable fluid queue with an alternating service process," European Journal of Operational Research, Elsevier, vol. 254(1), pages 148-160.
    • Handle: RePEc:eee:ejores:v:254:y:2016:i:1:p:148-160
    DOI: 10.1016/j.ejor.2016.03.046
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    Citations

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    Cited by:

    1. Economou, Antonis & Logothetis, Dimitrios & Manou, Athanasia, 2022. "The value of reneging for strategic customers in queueing systems with server vacations/failures," European Journal of Operational Research, Elsevier, vol. 299(3), pages 960-976.
    2. Stark, Oded & Budzinski, Wiktor & Kosiorowski, Grzegorz, 2019. "Switching queues, cultural conventions, and social welfare," European Journal of Operational Research, Elsevier, vol. 278(3), pages 837-844.
    3. Brill, P.H. & Huang, M.L. & Hlynka, M., 2020. "On the service time in a workload-barrier M/G/1 queue with accepted and blocked customers," European Journal of Operational Research, Elsevier, vol. 283(1), pages 235-243.
    4. Liron Ravner & Yutaka Sakuma, 2021. "Strategic arrivals to a queue with service rate uncertainty," Queueing Systems: Theory and Applications, Springer, vol. 97(3), pages 303-341, April.
    5. Qihui Bu, 2024. "Transient Analysis for a Queuing System with Impatient Customers and Its Applications to the Pricing Strategy of a Video Website," Mathematics, MDPI, vol. 12(13), pages 1-14, June.

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