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

Amina Angelika Bouchentouf (), Lahcene Yahiaoui, Mokhtar Kadi and Shakir Majid

Operations Research and Decisions, 2020, vol. 30, issue 4, 5-28

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.

Keywords: queueing models; variant of a multiple working vacation; balking; reneging; retention of reneged customers; simulation (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:wut:journl:v:30:y:2020:i:4:p:5-28:id:1522

DOI: 10.37190/ord200401

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