Abstract
This paper considers queueing networks comprised of quasireversible components linked by state-dependent routing. It is shown that the product form property is valid despite the state-dependent nature of the routing process. From this observation Norton's theorem for queueing networks is extended to include queueing networks with non-product form components and state-dependent routing, such as most notably including blocking of customers. The methods used to prove the results provide a combination of two approaches to obtain product form results: local balance and quasireversibility.
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