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

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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.

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Acknowledgements

We are grateful to the referees for their many valuable comments and suggestions. This work was supported by the National Natural Science Foundation of China (11671404), the Fundamental Research Funds for the Central Universities of Central South University 2016zzts014, the Project of Mathematics and Interdisciplinary Science and the Yu Ying project of Central South University.

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Correspondence to Senlin Yu.

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Yu, S., Liu, Z. & Wu, J. Optimal balking strategies in the M/M/1 queue with multi-phase failures and repairs. Oper Res Int J 19, 435–447 (2019). https://doi.org/10.1007/s12351-017-0303-z

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  • DOI: https://doi.org/10.1007/s12351-017-0303-z

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