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Cost optimization and ANFIS computing for admission control of M/M/1/K queue with general retrial times and discouragement

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  • Sanga, Sudeep Singh
  • Jain, Madhu

Abstract

The present study deals with the admission control policy for the single server finite capacity queueing model with discouraged customers and general distributed retrial times. The arriving customer is forced to join the retrial orbit on finding the server busy. From the orbit, the customer can retry for the service again after sometime. Due to the long queue in front of the server, the customers may be discouraged and leave the system without receiving the service. The noble feature of proposed study is to control the arrivals in the system based on F-policy according to which as soon as the system capacity becomes full, no more customers are permitted to join the system until the system capacity again drops to threshold level ‘F’. The steady state queue size distribution of the system size is evaluated by introducing the supplementary variables corresponding to remaining retrial times and framing Chapman–Kolmogorov equations. The recursive and soft computing based artificial neuro fuzzy inference system (ANFIS) approaches are applied to solve governing equations and to establish various performance indices. Furthermore, a cost function is also constructed to evaluate the optimal service rate and the corresponding expected cost of the system. Genetic algorithm (GA) and quasi-Newton method (QNM) are used to minimize the expected cost of the system to decide the optimal decision parameter corresponding to service rate.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:apmaco:v:363:y:2019:i:c:25
    DOI: 10.1016/j.amc.2019.124624
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    References listed on IDEAS

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    1. 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.
    2. F. R. B. Cruz & T. van Woensel, 2014. "Finite Queueing Modeling and Optimization: A Selected Review," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-11, March.
    3. P. Vijaya Laxmi & V. Goswami & K. Jyothsna, 2013. "Optimization of Balking and Reneging Queue with Vacation Interruption under -Policy," Journal of Optimization, Hindawi, vol. 2013, pages 1-9, June.
    4. Atencia-Mc.Killop, Ivan & Galán-García, José L. & Aguilera-Venegas, Gabriel & Rodríguez-Cielos, Pedro & Galán-García, MÁngeles, 2018. "A Geo[X]/G[X]/1 retrial queueing system with removal work and total renewal discipline," Applied Mathematics and Computation, Elsevier, vol. 319(C), pages 245-253.
    5. V. Jailaxmi & R. Arumuganathan & M. Senthil Kumar, 2017. "Performance analysis of an M/G/1 retrial queue with general retrial time, modified M-vacations and collision," Operational Research, Springer, vol. 17(2), pages 649-667, July.
    6. Shan Gao & Jinting Wang & Tien Van Do, 2016. "A repairable retrial queue under Bernoulli schedule and general retrial policy," Annals of Operations Research, Springer, vol. 247(1), pages 169-192, December.
    7. J. Artalejo, 1999. "A classified bibliography of research on retrial queues: Progress in 1990–1999," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 7(2), pages 187-211, December.
    8. K.-H. Wang & C.-C. Kuo & W. L. Pearn, 2007. "Optimal Control of an M/G/1/K Queueing System with Combined F Policy and Startup Time," Journal of Optimization Theory and Applications, Springer, vol. 135(2), pages 285-299, November.
    9. Amina Angelika Bouchentouf & Aicha Messabihi, 2018. "Heterogeneous two-server queueing system with reverse balking and reneging," OPSEARCH, Springer;Operational Research Society of India, vol. 55(2), pages 251-267, June.
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    Cited by:

    1. Sanga, Sudeep Singh & Charan, Gannamaneni Sai, 2023. "Fuzzy modeling and cost optimization for machine repair problem with retrial under admission control F-policy and feedback," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 211(C), pages 214-240.
    2. 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.
    3. Jain, Madhu & Dhibar, Sibasish, 2023. "ANFIS and metaheuristic optimization for strategic joining policy with re-attempt and vacation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 211(C), pages 57-84.
    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.
    5. 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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