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Aggregation and Disaggregation in Product Form Queueing Petri Nets.

Bause, Falko; Buchholz, Peter

In: Proceedings of the Seventh International Workshop on Petri Nets and Performance Models, June 3-6, 1997, Saint Malo, France, pages 16-25. Los Alamitos, California: IEEE Computer Society, June 1997.

Abstract: Product form Queueing Petri Nets (PQPNs) combine the results of product form for Stochastic Petri Nets with the well-known BCMP results in one modeling formalism and include them as special cases. In this paper we establish an exact aggregation approach, based on the product form, which extends Norton's theorem for aggregation in multiclass product form Queueing Networks.

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