Modelling and simulation of Bernoulli feedback queue with general customers' impatience under variant vacation policy
by Mouloud Cherfaoui; Amina Angelika Bouchentouf; Mohamed Boualem
International Journal of Operational Research (IJOR), Vol. 46, No. 4, 2023

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.

Online publication date: Tue, 04-Apr-2023

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