In: Performance Evaluation, Vol. 32, No. 4, pages 265-299. 1998.
Abstract: The product form results recently published for stochastic Petri nets are combined with the well-known product form results for queueing networks in the model formalism of queueing Petri nets yielding the class of product form queueing Petri nets. This model class includes stochastic Petri nets with product form solution and BCMP queueing networks as special cases. We introduce an arrival theorem for the model class and present an exact aggregation approach extending known approaches from queueing networks.
Keywords: aggregation methods, equilibrium distributions, product-form solution, queueing Petri nets, queueing networks, stochastic Petri nets.