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## Generalization of Queueing Network Product Form Solutions to Stochastic Petri Nets.

Florin, G.;
Natkin, S.
In:
*IEEE Transactions on Software Engineering, Vol. 17, No. 2*, pages 99-107.
February 1991.

Abstract:
A new solution is given for the steady-state probability computation of
closed synchronized queuing networks. A closed synchronized queuing
network is a particular Markov stochastic Petri net (a bounded and
monovaluated Petri net with a strongly connected reachability graph and
constant firing rates independent of markings). It is shown that the
steady-state probability distribution can be expressed using matrix
products. The results generalize the Gordon-Newell theorem. A prototype
solver developed from this result is presented.

Keywords:
generalized queueing network product form solutions; stochastic net;
steady-state probability (of) closed synchronized queueing networks;
Markov stochastic net; Gordon- Newell theorem.

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