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Customers’ Equilibrium Balking Strategies in an M/M/1 Queue with Variable Service Rate

In: Liss 2012

Author

Listed:
  • Le Li

    (Beijing Jiaotong University)

  • Jinting Wang

    (Beijing Jiaotong University)

  • Feng Zhang

    (Beijing Jiaotong University)

Abstract

We consider a fully observable single-server Markovian queue with variable service rate, where the customers observe the queue length and the state of the server upon arrival. We assume that the arriving customers decide whether to join the system or balk based on a natural reward-cost structure. With considering waiting cost and reward, we study the balking behavior of the customers and derive the corresponding Nash equilibrium strategies for all customers.

Suggested Citation

  • Le Li & Jinting Wang & Feng Zhang, 2013. "Customers’ Equilibrium Balking Strategies in an M/M/1 Queue with Variable Service Rate," Springer Books, in: Zhenji Zhang & Runtong Zhang & Juliang Zhang (ed.), Liss 2012, edition 127, pages 619-623, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-32054-5_86
    DOI: 10.1007/978-3-642-32054-5_86
    as

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