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Performance and cost comparative analysis for M/G/1 repairable machining system with N-policy vacation

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  • Meena, Rakesh Kumar
  • Jain, Madhu
  • Assad, Assif
  • Sethi, Rachita
  • Garg, Deepika

Abstract

The present article presents the performance analysis of a non-Markovian machining system comprised of operating and standby machines together and functioning under N-policy for vacation. The prime motive of this investigation is to schedule the repairman’s vacation policy to return to the repair job as soon as the workload reaches a pre-defined threshold. The supplementary variable approach (SVT) is employed to establish the system steady-state probabilities, which are used to predict the other performance indices. The numerical illustrations have been provided to verify the outcomes of the proposed analytical model. For the design of optimal parameters at the minimum cost, numerical results are also provided using metaheuristic particle swarm optimization and genetic algorithm techniques

Suggested Citation

  • Meena, Rakesh Kumar & Jain, Madhu & Assad, Assif & Sethi, Rachita & Garg, Deepika, 2022. "Performance and cost comparative analysis for M/G/1 repairable machining system with N-policy vacation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 200(C), pages 315-328.
    • Handle: RePEc:eee:matcom:v:200:y:2022:i:c:p:315-328
    DOI: 10.1016/j.matcom.2022.04.012
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    References listed on IDEAS

    as
    1. Charan Jeet Singh & Madhu Jain & Binay Kumar, 2014. "Analysis of M X / G / 1 queueing model with balking and vacation," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 19(2), pages 154-173.
    2. Sanga, Sudeep Singh & Jain, Madhu, 2019. "FM/FM/1 double orbit retrial queue with customers’ joining strategy: A parametric nonlinear programing approach," Applied Mathematics and Computation, Elsevier, vol. 362(C), pages 1-1.
    3. S. Subba Rao, 1967. "Queuing with balking and reneging in M|G|1 systems," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 12(1), pages 173-188, December.
    4. 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.
    5. Sanga, Sudeep Singh & Jain, Madhu, 2019. "Cost optimization and ANFIS computing for admission control of M/M/1/K queue with general retrial times and discouragement," Applied Mathematics and Computation, Elsevier, vol. 363(C), pages 1-1.
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    Cited by:

    1. Kumar, Anshul & Jain, Madhu, 2023. "Cost Optimization of an Unreliable server queue with two stage service process under hybrid vacation policy," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 204(C), pages 259-281.

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