Survey of closed queueing networks with blocking
ACM Computing Surveys (CSUR)
A unified view of product-form approximation techniques for general closed queueing networks
Performance Evaluation
Queueing networks with blocking
Queueing networks with blocking
Open, Closed, and Mixed Networks of Queues with Different Classes of Customers
Journal of the ACM (JACM)
Mean-Value Analysis of Closed Multichain Queuing Networks
Journal of the ACM (JACM)
Computational algorithms for closed queueing networks with exponential servers
Communications of the ACM
Improving the linearly based characterization of P/T nets
Proceedings of the 10th International Conference on Applications and Theory of Petri Nets: Advances in Petri Nets 1990
GSPN Semantics for Queueing Networks with Blocking
PNPM '97 Proceedings of the 6th International Workshop on Petri Nets and Performance Models
Theory, Volume 1, Queueing Systems
Theory, Volume 1, Queueing Systems
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In this paper we investigate some relations between the Petri net formalism and the queueing networks with blocking. This type of queueing network models are used to represent systems with finite capacity resource constraints, such as production, communication and computer systems. Various blocking mechanisms have been defined in the literature to represent the different behaviours of real systems with limited resources. We show that the representation of these queueing networks by means of Generalized Stochastic Petri Nets offers the possibility of using results developed within the Petri net framework. In particular, we investigate product form equilibrium distributions for queueing networks with blocking by means of structural Petri net results. More precisely, we use the notion of implicit places. With this concept we characterise a class of queueing networks with blocking having interesting properties. For each queueing network of this class there exists another model with the same performance measures and exhibiting product form equilibrium distribution.