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

Senlin Yu (), Zaiming Liu () and Jinbiao Wu ()
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Senlin Yu: Central South University
Zaiming Liu: Central South University
Jinbiao Wu: Central South University

Operational Research, 2019, vol. 19, issue 2, No 7, 435-447

Abstract: 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.

Keywords: Queueing games; Random environment; Failures; Repairs (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1007/s12351-017-0303-z

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