Performance Evaluation Of A Finite Buffer System With Varying Rates Of Impatience

Abstract

In the analysis of reneging behavior, one approach is to assume random patience time. Each customer is assumed to follow identical distribution of patience time. However, there are many real life queuing systems where this assumption is not satisfied. Customers waiting in the system are often aware of their position in it and hence the reneging rate varies with the position of the customer in the system. This paper is an attempt to model such a reneging phenomena along with balking. Explicit closed form expressions of a number of performance measures have been presented. A numerical example with design aspects has also been presented to demonstrate the results derived.