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Performance analysis and ANFIS computing of an unreliable Markovian feedback queueing model under a hybrid vacation policy

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  • K., Divya
  • K., Indhira

Abstract

This study covers the stationary analysis of an unreliable Markovian queueing system with feedback based on a hybrid vacation policy. Customers arrive at the station at random using a Poisson process. Service time is distributed exponentially. The necessary and sufficient requirements for system stability have been demonstrated. Many performance metrics of this queueing system, such as the stationary queue length distribution, have been obtained from the steady-state probability distribution of the queueing model and the steady-state queue length using the matrix geometric method. To establish the model’s performance indicators, a few formulas have also been developed. The Adaptive Neuro-Fuzzy Inference System (ANFIS) was used to develop rules from the input datasets and generate different performance indices. Finally, the impact of system parameters and cost analysis was studied using numerical examples.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:matcom:v:218:y:2024:i:c:p:403-419
    DOI: 10.1016/j.matcom.2023.12.004
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    References listed on IDEAS

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    1. Divya Velayudhan Nair & Achyutha Krishnamoorthy & Agassi Melikov & Sevinj Aliyeva, 2021. "MMAP/(PH,PH)/1 Queue with Priority Loss through Feedback," Mathematics, MDPI, vol. 9(15), pages 1-26, July.
    2. Chia-Jung Chang & Jau-Chuan Ke & Fu-Min Chang, 2018. "Unreliable retrial queue with loss and feedback under threshold-based policy," International Journal of Industrial and Systems Engineering, Inderscience Enterprises Ltd, vol. 30(1), pages 1-20.
    3. Amina Angelika Bouchentouf & Mouloud Cherfaoui & Mohamed Boualem, 2019. "Performance and economic analysis of a single server feedback queueing model with vacation and impatient customers," OPSEARCH, Springer;Operational Research Society of India, vol. 56(1), pages 300-323, March.
    4. 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.
    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.
    6. 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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