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Transient analysis and ANFIS computing of unreliable single server queueing model with multiple stage service and functioning vacation

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  • Ahuja, Anjali
  • Jain, Anamika
  • Jain, Madhu

Abstract

A single server Markovian queueing system with multiple stage service and functioning vacation is examined where server is prone to breakdown in both busy period and vacation period. The service is provided in ‘M’ stages and all ‘M’ stages are essential for every job to finish the entire service process. The service provider can go for vacation only after the completion of the Mth stage of service of an individual customer. Runge–Kutta technique is employed for working out the transient probabilities of various states and performance indices of Markov model. A numerical experiment is carried out to investigate the sensitivity and associated cost of the system. The comparison of neuro-fuzzy results obtained by implementing a technique called ‘Adaptive neuro-fuzzy interface system (ANFIS)’ and the results obtained using Runge–Kutta method is carried out for validation purposes.

Suggested Citation

  • Ahuja, Anjali & Jain, Anamika & Jain, Madhu, 2022. "Transient analysis and ANFIS computing of unreliable single server queueing model with multiple stage service and functioning vacation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 192(C), pages 464-490.
    • Handle: RePEc:eee:matcom:v:192:y:2022:i:c:p:464-490
    DOI: 10.1016/j.matcom.2021.09.011
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    References listed on IDEAS

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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.
    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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