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Performance prediction and ANFIS computing for unreliable retrial queue with delayed repair under modified vacation policy

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  • Shweta Upadhyaya
  • Chetna Kushwaha

Abstract

This paper deals with the analysis of MX/G/1 retrial queue with impatient customers, modified vacation policy and Bernoulli feedback. When the incoming customer finds the server busy, on vacation or in the state of breakdown, he joins the virtual queue called retrial orbit, otherwise the service is provided to the customer who is at the head of the queue. The service is provided in l(0 ≤ i ≤ l) phases where first is compulsory service and remaining services are optional. When the system becomes empty, server leaves for the vacation of arbitrary length and can take at most J number of vacations. When server comes back from the vacation and finds at least one customer in the queue, he starts providing service to the customer. Supplementary variable technique (SVT) and probability generating function (PGF) method is used to derive the system size distribution and other performance indices. We have also approximated the analytical results using adaptive neuro-fuzzy interface system (ANFIS) soft computing technique, which can identify parameters using supervised learning methods.

Suggested Citation

  • Shweta Upadhyaya & Chetna Kushwaha, 2020. "Performance prediction and ANFIS computing for unreliable retrial queue with delayed repair under modified vacation policy," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 17(4), pages 437-466.
    • Handle: RePEc:ids:ijmore:v:17:y:2020:i:4:p:437-466
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    Citations

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    Cited by:

    1. Shweta Upadhyaya & Richa Sharma & Divya Agarwal & Geetika Malik, 2023. "Convexity analysis and cost optimization of a retrial queue with Bernoulli vacation and delayed phase mending," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 14(5), pages 1671-1690, October.
    2. Fan Xu & Ruiling Tian & Qi Shao, 2024. "Optimal Pricing Strategy in an Unreliable M/M/1 Retrial Queue with Delayed Repair and Breakdown Deterioration," Methodology and Computing in Applied Probability, Springer, vol. 26(2), pages 1-22, June.
    3. R. Harini & K. Indhira, 2024. "Meta heuristic optimization of a batch arrival retrial queue with optional re-service and M-optional vacations," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 15(9), pages 4252-4282, September.
    4. 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.

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