This paper considers the supremum m of the service times of the customers served in a busy period of the M[+45 degree rule]G[+45 degree rule]1 queueing system. An implicit expression for the distribution m(w) of m is derived. This expression leads to some bounds for m(w), while it can also be...

We consider a series of queues with Poisson input. Each queueing system contains an infinite number of service channels. The service times in each channel have a general distribution. For this M/G[infinity] tandem model we obtain the joint time-dependent distribution of queue length and residual...