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Equilibrium Customer Strategies in the Queue with Threshold Policy and Setup Times

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  • Peishu Chen
  • Wenhui Zhou
  • Yongwu Zhou

Abstract

We consider the equilibrium behavior of customers in the queue with policy and setup times. The server is shut down once the system is empty and begins an exponential setup time to start service again when the number of customers in the system accumulates the threshold . We consider the equilibrium threshold strategies for fully observable case and mixed strategies for fully unobservable case, respectively. We get various performance measures of the system and investigate some numerical examples of system size, social benefit, and expected cost function per unit time for the two different cases under equilibrium customer strategies.

Suggested Citation

  • Peishu Chen & Wenhui Zhou & Yongwu Zhou, 2015. "Equilibrium Customer Strategies in the Queue with Threshold Policy and Setup Times," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-11, August.
    • Handle: RePEc:hin:jnlmpe:361901
    DOI: 10.1155/2015/361901
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    Cited by:

    1. Abdoun Sylia & Taleb Samira, 2024. "Strategic Joining in an Unobservable Markovian Queue with Differentiated Vacations," SN Operations Research Forum, Springer, vol. 5(3), pages 1-27, September.
    2. 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.
    3. Wojciech M. Kempa & Dariusz Kurzyk, 2022. "Analysis of Non-Steady Queue-Length Distribution in a Finite-Buffer Model with Group Arrivals and Power Saving Mechanism with Setups," Energies, MDPI, vol. 15(22), pages 1-15, November.

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