This paper describes the MQNA Markovian Queueing Networks Analyser, a software tool to model and obtain the stationary solution of a large class of Queueing Networks. MQNA can directly solve open and closed product-form queueing networks using classical algorithms. For finite capacity queueing models, MQNA generates Markovian description in the Stochastic Automata Networks (SAN) and Stochastic ...

Queueing theory offers a large variety of techniques that can be used in performance modelling of computer systems and data communication networks. The diversity of assumptions causes that the numerical results, obtained for the same system but by means of different techniques, can often be numerically very different. The project is aimed at finding common denominators for numerical results obt...

This paper deals with a multi-class priority queueing system with customer transfers that occur only from lower priority queues to higher priority queues. Conditions for the queueing system to be stable/unstable are obtained. An auxiliary queueing system is introduced, for which an explicit product-form solution is found for the stationary distribution of queue lengths. Sample path relationship...

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 syst...

Queueing Petri nets are a powerful formalism that can be exploited for modeling distributed systems and analyzing their performance and scalability. By combining the modeling power and expressiveness of queueing networks and stochastic Petri nets, queueing Petri nets provide a number of advantages. In this paper, we present Version 2.0 of our tool QPME (Queueing Petri net Modeling Environment) ...

An open queueing network model in light traffic has been developed. The theorem on the law of the iterated logarithm for the idle time process of customers in an open queueing network has been presented. Finally, we present an application of the theorem a idle time model from computer network practice. Key–Words: mathematical models of technical systems, reliability theory, queueing theory, ope...

For advanced packet switches, output queueing has received increased attention owing to its performance advantages. However, practical output queue size limitations may require additional queueing at the inputs. This paper considers a single-stage nonblocking N x N packet switch with both output and input queueing. The limited queueing at the output ports resolves output port contention partial...