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Analysis of Markovian queue model with unreliable service station and a vacation after fixed services

Author

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  • Alka Choudhary
  • D.C. Sharma

Abstract

In this study, we have investigated a Markovian queue system with infinite capacity with a single service station which is unreliable. A vacation has been introduced in which service station takes vacation after some fixed services. In this paper, service station has decreasing service rate because of continuous service and service station takes vacation after each fixed services. To calculate the system performance measures, we figured out the steady state equations and solved these equations using matrix geometric method. Condition on parameters is also defined for which the system is stable. Cost function is constructed and sensitivity analysis is done.

Suggested Citation

  • Alka Choudhary & D.C. Sharma, 2022. "Analysis of Markovian queue model with unreliable service station and a vacation after fixed services," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 21(3), pages 411-428.
    • Handle: RePEc:ids:ijmore:v:21:y:2022:i:3:p:411-428
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    Cited by:

    1. Jain, Madhu & Dhibar, Sibasish, 2023. "ANFIS and metaheuristic optimization for strategic joining policy with re-attempt and vacation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 211(C), pages 57-84.
    2. K., Divya & K., Indhira, 2024. "Performance analysis and ANFIS computing of an unreliable Markovian feedback queueing model under a hybrid vacation policy," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 218(C), pages 403-419.

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