# The Operational Analysis of Queueing Network Models

@article{Denning1978TheOA, title={The Operational Analysis of Queueing Network Models}, author={Peter J. Denning and Jeffrey P. Buzen}, journal={ACM Comput. Surv.}, year={1978}, volume={10}, pages={225-261} }

Queueing network models have proved to be cost effectwe tools for analyzing modern computer systems. This tutorial paper presents the basic results using the operational approach, a framework which allows the analyst to test whether each assumption is met in a given system. The early sections describe the nature of queueing network models and their apphcations for calculating and predicting performance quantitms The basic performance quantities--such as utilizations, mean queue lengths, and…

## 599 Citations

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In typical validations of computer performance models, analysist interpret the ptja) of queueing networks as time-proportions during which a given network state n is observed. They parameterize…

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It is the contention of this paper that queueing network models with credible assumptions can be solved approximately to provide credible performance estimates at low cost.

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This tutorial paper describes a procedure for obtaining input parameter values and output performance measures for a popular class of queuemg network models and discusses detail examples of model validations and performance predictions to illustrate the measurement procedures and the class of models.

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It is found that the distribution of customers in the closed queuing system is regulated by the stage or stages with the slowest effective service rate, which means that closed systems are shown to be stochastically equivalent to open systems in which the number of customers cannot exceed N.

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Closed queuing networks are composed of interconnected service stages serving a fixed number of customers and work rates are shown to depend continuously on the service-time distributions.

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Many of the network results of Jackson on arrival and service rate dependencies, of Posner and Bernholtz on different classes of customers, and of Chandy on different types of service centers are combined and extended in this paper.