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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.

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  • 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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    1. Gautam Choudhury & Mitali Deka, 2015. "A batch arrival unreliable Bernoulli vacation model with two phases of service and general retrial times," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 7(3), pages 318-347.
    2. 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.
    3. Madhu Jain, 2013. "Availability prediction of imperfect fault coverage system with reboot and common cause failure," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 17(3), pages 374-397.
    4. Dalibor Petković & Siti Hafizah Ab Hamid & Žarko Ćojbašić & Nenad T. Pavlović, 2014. "RETRACTED ARTICLE: Adapting project management method and ANFIS strategy for variables selection and analyzing wind turbine wake effect," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 74(2), pages 463-475, November.
    5. Gautam Choudhury & Mitali Deka, 2015. "An M/G/1 unreliable server queue with two phases of service and Bernoulli vacation schedule under randomised vacation policy," International Journal of Applied Management Science, Inderscience Enterprises Ltd, vol. 7(4), pages 309-337.
    6. Dalibor Petković & Milan Gocic & Slavisa Trajkovic & Miloš Milovančević & Dragoljub Šević, 2017. "Precipitation concentration index management by adaptive neuro-fuzzy methodology," Climatic Change, Springer, vol. 141(4), pages 655-669, April.
    7. Dalibor Petković & Siti Ab Hamid & Žarko Ćojbašić & Nenad Pavlović, 2014. "Adapting project management method and ANFIS strategy for variables selection and analyzing wind turbine wake effect," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 74(2), pages 463-475, November.
    8. 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.
    9. Jain, Madhu & Bhagat, Amita & Shekhar, Chandra, 2015. "Double orbit finite retrial queues with priority customers and service interruptions," Applied Mathematics and Computation, Elsevier, vol. 253(C), pages 324-344.
    10. Richa Sharma, 2014. "Mathematical Analysis of Queue with Phase Service: An Overview," Advances in Operations Research, Hindawi, vol. 2014, pages 1-19, December.
    11. R. Sudhesh & P. Savitha & S. Dharmaraja, 2017. "Transient analysis of a two-heterogeneous servers queue with system disaster, server repair and customers’ impatience," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 25(1), pages 179-205, April.
    12. Petković, Dalibor & Ćojbašič, Žarko & Nikolić, Vlastimir, 2013. "Adaptive neuro-fuzzy approach for wind turbine power coefficient estimation," Renewable and Sustainable Energy Reviews, Elsevier, vol. 28(C), pages 191-195.
    13. Petković, Dalibor & Ćojbašić, Žarko & Nikolić, Vlastimir & Shamshirband, Shahaboddin & Mat Kiah, Miss Laiha & Anuar, Nor Badrul & Abdul Wahab, Ainuddin Wahid, 2014. "Adaptive neuro-fuzzy maximal power extraction of wind turbine with continuously variable transmission," Energy, Elsevier, vol. 64(C), pages 868-874.
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    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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