Analyzing Impatience in Multiserver Markovian Queues

Reneging and Balking are two facts of customer impatience. In traditional queuing literature, customer impatience was not often considered. However, for the last few decades, queuing theorists have been trying to integrate aspect of balking and reneging into modeling of queues in a holistic way. This paper is an extension of the work in the same direction. We consider a multiserver Markovian queuing model under the assumption that customers are state aware so that their impatience is state dependent. We derive the generating function of the stationary system size distribution and obtain mean system size along with other performance measures.