A Simple Analysis of Customers Impatience in Multiserver Queues

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Abstract

Balking and reneging are two ways through which customer impatience finds reflection. In the analysis of stochastic reneging, it has traditionally been assumed that the distribution of patience time is state independent. However in many queuing systems, the customer is aware of its position in the system state. Hence in this paper, we assume that a customer who arrives at the queuing system gets to know the state of the system. Consequently, both balking and reneging are taken as function of system state. Both types of reneging are considered. Explicit closed form expressions of a number of performance measures are presented. A numerical example is presented to demonstrate the results derived rounds off the paper.

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