THE MEAN WAITING TIME OF A GI G/1 QUEUE IN LIGHT TRAFFIC VIA RANDOM THINNING/

In this paper, we derive the MacLaurin series of the mean waiting time in light traffic for a GI/G/1 queue. The light traffic is defined by random thinning of the arrival process. The MacLaurin series is derive d with respect to the admission probability, and we prove that it has a positive radius of convergence. In the numerical examples, we use th e MacLaurin series to approximate the mean waiting time beyond light t raffic by means of Pade approximation.