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Equilibrium Analysis of the Markovian Queues with Repairs and Vacations

In: Liss 2012

Author

Listed:
  • Ceng Li

    (Beijing Jiaotong University)

  • Jinting Wang

    (Beijing Jiaotong University)

  • Feng Zhang

    (Beijing Jiaotong University)

Abstract

A single server Markovian queue with repairs and vacations is studied in this paper. Under a linear reward-cost structure, we investigate the behavior of customers with various levels of information regarding the system state. Equilibrium strategies for the customers under different levels of information are derived and the stationary behaviors of the system under these strategies are investigated.

Suggested Citation

  • Ceng Li & Jinting Wang & Feng Zhang, 2013. "Equilibrium Analysis of the Markovian Queues with Repairs and Vacations," Springer Books, in: Zhenji Zhang & Runtong Zhang & Juliang Zhang (ed.), Liss 2012, edition 127, pages 637-642, Springer.
  • Handle: RePEc:spr:sprchp:978-3-642-32054-5_89
    DOI: 10.1007/978-3-642-32054-5_89
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    Cited by:

    1. Miaomiao Yu & Yinghui Tang, 2022. "Analysis of a renewal batch arrival queue with a fault-tolerant server using shift operator method," Operational Research, Springer, vol. 22(3), pages 2831-2858, July.

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