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

Published online by Cambridge University Press:  17 February 2009

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

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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.

Type
Research Article
Information
The ANZIAM Journal , Volume 37 , Issue 4 , April 1996 , pp. 530 - 548
Copyright
Copyright © Australian Mathematical Society 1996

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