Limit Theorems for Periodic Queues.

摘要

Consider a single server queue with service times distributed as a general randow variable S and with nonstationary Poisson input. The asymptotic distributions associated with Z and W are shown to be related in various ways. In particular, we extend to the case of periodic Poisson input a well known formula (due to Takacs) relating the limiting virtual and actual waiting time distributions of a GI/G/1 queue.