Conditional job-observer property for multitype closed queueing networks

Hans Daduna · Ryszard Szekli

11 citations0/0 files storedJournal of Applied Probability

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Advanced Queuing Theory Analysis Probability and Statistical Research Petri Nets in System Modeling

Abstract

For functionals of multitype closed queueing networks, a conditional job-observer property is shown which provides more insight into the classical job-observer property. Applications and examples are given, including the classical job-observer property for the number of customers in a network, a representation of cycle time distributions and a basic formula for sojourn times.

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1987Introduction to Queueing Networks 1990An Introduction to Queueing Networks 2003Elements of Queueing Theory 1999Introduction to Stochastic Networks 1981The Distribution of Queuing Network States at Input and Output Instants 1980Stationary state probabilities at arrival instants for closed queueing networks with multiple types of customers 1983Sojourn times in closed queueing networks 1988Modelling of computer and communication systems

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