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Queueing modeling and optimization of a fault-tolerant system with reboot, recovery, and vacationing server operating under admission control policy

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  • Rani, Shobha
  • Jain, Madhu
  • Meena, Rakesh Kumar

Abstract

This article proposes a finite population Markovian queueing model with discouragement and vacationing server to examine the performance of the fault-tolerant system in which admission of failed machines for repair jobs is controlled according to F-policy. When the number of broken-down machines in such systems reaches to its maximum capacity, it does not allow the failed machines to enter in the system until the counts of broken-down machines drop to a pre-specified threshold level ‘F’. The feature of vacationing server along with set up, reboot and recovery are incorporated to deal with real-time scenarios of fault-tolerant systems. By considering the birth–death process, the governing equations are constructed using appropriate transition rates of the concerned system. The steady-state queue size distribution and various system metrics are evaluated using a recursive approach. To illustrate the usage of analytical findings, sensitivity analysis of the system metrics with regard to specific parameters is presented. The particle swarm optimization and harmony search optimization techniques are employed to determine the optimal decision parameters and optimum total cost.

Suggested Citation

  • Rani, Shobha & Jain, Madhu & Meena, Rakesh Kumar, 2023. "Queueing modeling and optimization of a fault-tolerant system with reboot, recovery, and vacationing server operating under admission control policy," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 209(C), pages 408-425.
    • Handle: RePEc:eee:matcom:v:209:y:2023:i:c:p:408-425
    DOI: 10.1016/j.matcom.2023.02.015
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    References listed on IDEAS

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    1. Lotfi Tadj & Gautam Choudhury, 2005. "Optimal design and control of queues," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 13(2), pages 359-412, December.
    2. Meena, Rakesh Kumar & Jain, Madhu & Sanga, Sudeep Singh & Assad, Assif, 2019. "Fuzzy modeling and harmony search optimization for machining system with general repair, standby support and vacation," Applied Mathematics and Computation, Elsevier, vol. 361(C), pages 858-873.
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    Cited by:

    1. Gorbunova, A.V. & Lebedev, A.V., 2023. "Nonlinear approximation of characteristics of a fork–join queueing system with Pareto service as a model of parallel structure of data processing," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 214(C), pages 409-428.

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