Transient analysis of an <i><i>M</i>/<i>M</i>/<i>c</i></i> queuing system with balking and retention of reneging customers

Abstract

In this paper, we study an infinite capacity multi-server Markovian queuing system with balking and retention of reneging customers. The transient analysis of the model is performed. The probability generating function technique along with Bessel function properties is used to derive the time-dependent state probabilities explicitly.