Issue: 2020/Vol.30/No.4, Pages 5-28
IMPATIENT CUSTOMERS IN MARKOVIAN QUEUE WITH BERNOULLI FEEDBACK AND WAITING SERVER UNDER VARIANT WORKING VACATION POLICY
Cite as: A. A. Bouchentouf, L. Yahiaoui, M. Kadi, S. Majid. Impatient customers in Markovian queue with Bernoulli feedback and waiting server under variant working vacation policy. Operations Research and Decisions 2020: 30(4), 5-28. DOI 10.37190/ord200401
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
Received: 8 April 2020 Accepted: 13 December 2020