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Impatient customers in Markovian queue with Bernoulli feedback and waiting server under variant working vacation policy

Author

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  • Amina Angelika Bouchentouf
  • Lahcene Yahiaoui
  • Mokhtar Kadi
  • Shakir Majid

Abstract

This paper deals with customers’ impatience behaviour for single server Markovian queueing system under K-variant working vacation policy, waiting server, Bernoulli feedback, balking, reneging, and retention of reneged customers. Using the probability generating function (PGF) technique, we obtain the steady-state solution of the system. Besides, we prove the stochastic decomposition properties. Useful performance measures of the considered queueing system are derived. A cost model is developed. Then, the parameter optimisation is carried out numerically, using a quadratic fit search method (QFSM). Finally, numerical examples are provided to visualise the analytical results.

Suggested Citation

  • Amina Angelika Bouchentouf & Lahcene Yahiaoui & Mokhtar Kadi & Shakir Majid, 2020. "Impatient customers in Markovian queue with Bernoulli feedback and waiting server under variant working vacation policy," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 30(4), pages 5-28.
    • Handle: RePEc:wut:journl:v:30:y:2020:i:4:p:5-28:id:1522
    DOI: 10.37190/ord200401
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    References listed on IDEAS

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    1. A. Azhagappan, 2019. "RETRACTED ARTICLE: Transient behavior of a Markovian queue with working vacation variant reneging and a waiting server," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 27(2), pages 351-351, July.
    2. 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.
    3. 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.
    4. P. Vijaya Laxmi & P. Rajesh, 2016. "Analysis of variant working vacations on batch arrival queues," OPSEARCH, Springer;Operational Research Society of India, vol. 53(2), pages 303-316, June.
    Full references (including those not matched with items on IDEAS)

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