Some poisson approximations for departure processes in general queueing networks

摘要

This paper is concerned with establishing Poisson approximations to departure processes in general queueing networks. Bounds are provided to assess the degree of deviation of a given flow from Poisson and these lead to simple criteria for good Poisson approximations. The class of networks considered here are those with a countable collection of customer classes and where the service requirement of a customer at a given queue has a general distribution which may depend upon the class of the customer. Initially we consider networks of quasireversible queues and later relax this assumption