Distributional approximations for networks of quasireversible queues

This paper is concerned with establishing Poisson approximations to flows in general queueing networks. Bounds are provided to assess the departure 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.