J Austral Math Soc Ser B 37 pp530--548, 1996.

Continuous-time quadratic cost flow problems with applications to water distribution networks

A. T. Ernst

(Received 18 April 1994; revised 19 August 1994)

Abstract

This paper deals with a class of network optimization problems in which the flow is a function of time rather than static as in the classical network flow problem, and storage is permitted at the nodes. A solution method involving discretization will be presented as an application of the ASG algorithm. We furnish a proof that the discretized solution converges to the exact continuous solution. We also apply the method to a water distribution network where we minimize the cost of pumping water to meet supply and demand, subject to both linear and nonlinear constraints.

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Author

A. T. Ernst: Department of Mathematics, The University of Western Australia, Nedlands WA 6009.

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Last Modified: Mon Dec 10 13:43:34 2001