Balking and reneging in multiserver Markovian queuing system

Abstract

In the analysis of many queuing systems, it is assumed that customers who arrive stay on till they receive service. In real life, this does not always happen. We shall assume that customers may balk if service is not instantly available on arrival. Even if a customer joins the system, the customer may renege. In this paper, we consider a multi server Markovian queuing system where the customers may balk as well as renege. Explicit closed form expressions are presented. A numerical problem with design aspects has also been presented to demonstrate results derived.