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Equilibrium and Optimal Strategies in M/M/1 Queues with Working Vacations and Vacation Interruptions

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  • Ruiling Tian
  • Linmin Hu
  • Xijun Wu

Abstract

We consider the customers equilibrium and socially optimal joining-balking behavior in single-server Markovian queues with multiple working vacations and vacation interruptions. Arriving customers decide whether to join the system or balk, based on a linear reward-cost structure that incorporates their desire for service, as well as their unwillingness for waiting. We consider that the system states are observable, partially observable, and unobservable, respectively. For these cases, we first analyze the stationary behavior of the system and get the equilibrium strategies of the customers and compare them to socially optimal balking strategies numerically.

Suggested Citation

  • Ruiling Tian & Linmin Hu & Xijun Wu, 2016. "Equilibrium and Optimal Strategies in M/M/1 Queues with Working Vacations and Vacation Interruptions," Mathematical Problems in Engineering, Hindawi, vol. 2016, pages 1-10, February.
    • Handle: RePEc:hin:jnlmpe:9746962
    DOI: 10.1155/2016/9746962
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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.

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