Zhen, Qiang; Knessl, Charles - In: Mathematical Methods of Operations Research 71 (2010) 2, pp. 201-244
We consider the M/G/1 queue with a processor sharing server. We study the conditional sojourn time distribution, conditioned on the customer’s service requirement, as well as the unconditional distribution, in various asymptotic limits. These include large time and/or large service request,...