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Dynamic Modeling and Control of Congestion-Prone Systems

Carson E. Agnew
Operations Research
Vol. 24, No. 3 (May - Jun., 1976), pp. 400-419
Published by: INFORMS
Stable URL: http://www.jstor.org/stable/169908
Page Count: 20
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Dynamic Modeling and Control of Congestion-Prone Systems
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Abstract

This paper constructs a dynamic model of a general congestion-prone system using a nonlinear differential equation to represent the relation between throughput and the system load. Although the model is not stochastic, it can give a good approximation of the dynamics of oversaturated or undersaturated system operation. The model is used to study the stability and transient behavior of a congestion-prone system and to analyze policies for the control of congestion in a simple optimal control model.

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