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Flow ratio design of primal and dual network models of distribution

Published online by Cambridge University Press:  17 February 2009

G. A. Mohr
G. A. Mohr
Affiliation:
International Arts and Sciences College, 68 Tulip Grove, Cheltenham VIC 3192, Australia.
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Abstract

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The finite element method can be used to provide network models of distribution problems. In the present work ‘flow ratio design’ is applied to such models to obtain approximate minima and maxima for both the primal and dual FEM models. The resulting primal MIN and dual MAX solutions are equal to or close to the exact solutions but, intriguingly, the primal MAX and dual MIN solutions are approximately equal to an intermediate saddle point solution.

Type
Research Article
Information
The ANZIAM Journal , Volume 45 , Issue 4 , April 2004 , pp. 573 - 583
Copyright
Copyright © Australian Mathematical Society 2004

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