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Optimal joining strategies in a repairable retrial queue with reserved time and N-policy

Author

Listed:
  • Liuqing He

    (Yanshan University)

  • Ruiling Tian

    (Yanshan University)

  • Yunna Han

    (Yanshan University)

  • Xinyu Wu

    (Yanshan University)

Abstract

We consider the retrial queue with a repairable server (who suffers from breakdowns and repairs) as well as reserved times and setup times under N-policy, and analyze the customers’ strategic behavior and social optimization in the almost unobservable and fully unobservable cases. The linear reward-cost structure is adopted to decide whether the arriving customers enter the orbit or balk when the server is busy or dormant. Firstly, the stationary probabilities are obtained by the probability generating function. The equilibrium strategies for two cases are analyzed. In particular, for the almost unobservable queue, the concrete expression of equilibrium strategy is deduced. Then the social welfare functions for two cases are established and the socially optimal arrival rates are calculated by genetic algorithm. Finally, the sensitivity of optimal arrival rates and social welfare to some system parameters is discussed by numerical experiments.

Suggested Citation

  • Liuqing He & Ruiling Tian & Yunna Han & Xinyu Wu, 2024. "Optimal joining strategies in a repairable retrial queue with reserved time and N-policy," Operational Research, Springer, vol. 24(1), pages 1-22, March.
    • Handle: RePEc:spr:operea:v:24:y:2024:i:1:d:10.1007_s12351-023-00808-3
    DOI: 10.1007/s12351-023-00808-3
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    References listed on IDEAS

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    1. 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.
    2. Refael Hassin & Moshe Haviv, 1997. "Equilibrium Threshold Strategies: The Case of Queues with Priorities," Operations Research, INFORMS, vol. 45(6), pages 966-973, December.
    3. Marcel F. Neuts & David M. Lucantoni, 1979. "A Markovian Queue with N Servers Subject to Breakdowns and Repairs," Management Science, INFORMS, vol. 25(9), pages 849-861, September.
    4. Pengfei Guo & Refael Hassin, 2011. "Strategic Behavior and Social Optimization in Markovian Vacation Queues," Operations Research, INFORMS, vol. 59(4), pages 986-997, August.
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    Cited by:

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    2. Sylia Abdoun & Samira Taleb, 2025. "Efficiency of a markovian queue with non homogeneous vacations and strategic customers under partial vacation interruption," Telecommunication Systems: Modelling, Analysis, Design and Management, Springer, vol. 88(2), pages 1-18, June.

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