Non-coincidence probabilities and the time-dependent behavior of tandem queues with deterministic input

[摘要] In this paper we derive a formula for zero-avoiding transition probabilities of an r-node tandem queue with exponential servers and deterministic input. Tn particular, we show that these transition probabilities may be interpreted as non-coincidence probabilities of a set of dissimilar Poisson processes restricted by a time-dependent boundary. (C) 2000 Elsevier Science B.V. All rights reserved.

[发布日期] 2000-10-01

[关键词] tandem queues;non-coincidence probabilities;Poisson process