Calculating Time-Dependent Performance Measures for the M/M/1 Queue
01 January 1989
This correspondence discusses methods for computing transient performance measures for the M/M/1 queue. These performance measures are often expressed in terms of modified Bessel functions without any discussion about computation. In fact, a common expression for the probability transition function of the M/M/1 queue length process has an infinite sum of modified Bessel functions.