Modelling and simulation of Bernoulli feedback queue with general customers' impatience under variant vacation policy

Mouloud Cherfaoui, Amina Angelika Bouchentouf and Mohamed Boualem

International Journal of Operational Research, 2023, vol. 46, issue 4, 451-480

Abstract: This article deals with a feedback queueing system with variant of a multiple vacation policy, balking, server's states-dependent reneging, and retention of reneged customers. On arrival, if the server is on vacation (respectively, busy), a customer activates an individual timer T_V (respectively, T_B) and starts his patience time. The patience time of each customer during vacation (respectively, busy) period is a random variable with a general probability distribution function G_V (·) (respectively, G_B(·)). A customer must leave the system as soon as his patience's time expires. The general distribution of impatience times as well as server's states-dependent reneging makes the analysis of the considered model difficult. We establish the equilibrium analysis of the queueing model, derive its performance measures, and examine it by a series of simulation experiments through a discrete-event simulation. This approach is very appropriate for modelling such complex environment, it attempts to replicate the behaviour of the queueing system providing its characteristic estimations.

Keywords: queueing; vacation; balking; reneging; general customers' impatience; discrete-event simulation. (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (2)

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