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Optimal balking strategies in the M/M/1 queue with multi-phase failures and repairs

Author

Listed:
  • Senlin Yu

    (Central South University)

  • Zaiming Liu

    (Central South University)

  • Jinbiao Wu

    (Central South University)

Abstract

In this paper, we study the equilibrium strategies in the M/M/1 queue with partial and total failures. The state of the server is modulated by a random environment. Based on different precision levels of system information, we study separately the threshold strategies for the fully observable case and mixed strategies for the fully unobservable case. In addition, we illustrate the effect of several parameters on equilibrium behavior via numerical examples. Some possible generalizations are also discussed.

Suggested Citation

  • Senlin Yu & Zaiming Liu & Jinbiao Wu, 2019. "Optimal balking strategies in the M/M/1 queue with multi-phase failures and repairs," Operational Research, Springer, vol. 19(2), pages 435-447, June.
    • Handle: RePEc:spr:operea:v:19:y:2019:i:2:d:10.1007_s12351-017-0303-z
    DOI: 10.1007/s12351-017-0303-z
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    References listed on IDEAS

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    1. Yu, Senlin & Liu, Zaiming & Wu, Jinbiao, 2016. "Equilibrium strategies of the unobservable M/M/1 queue with balking and delayed repairs," Applied Mathematics and Computation, Elsevier, vol. 290(C), pages 56-65.
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