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Models and algorithms for multiple criteria linear cost network programs

Published online by Cambridge University Press:  17 February 2009

X. Q. Yang  and
C. J. Goh
X. Q. Yang
Affiliation:
Department of Mathematics, The University of Western Australia, Nedlands WA 6907, Australia.
C. J. Goh
Affiliation:
Department of Mathematics, The University of Western Australia, Nedlands WA 6907, Australia.
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Abstract

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In this paper, we discuss a general model for multiple criteria linear cost network flow problems. This model includes several classes of existing models in the operations research literature as special cases. Based on this model, a search algorithm for finding a feasible solution of the concurrent flow problem is suggested and illustrative numerical examples are given. This search algorithm is also extended to obtain a new algorithm for finding the efficient frontier of a multiple criteria linear program.

Type
Research Article
Information
The ANZIAM Journal , Volume 40 , Issue 4 , April 1999 , pp. 568 - 581
Copyright
Copyright © Australian Mathematical Society 1999

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