Transient analysis of an M/M/c queuing system with retention of reneging customers
by Rakesh Kumar; Sapana Sharma
International Journal of Operational Research (IJOR), Vol. 36, No. 1, 2019

Abstract: In this paper, we study the transient behaviour of an M/M/c queuing system with reneging and retention of reneging customers. The probability generating function technique along with Bessel function properties is used to derive the time-dependent state probabilities explicitly. The transient behaviour of system size probabilities, the expected system size, the average reneging rate, and the average retention rate is studied with the help of a numerical example.

Online publication date: Fri, 06-Sep-2019

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