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The inverse fractional matching problem

Published online by Cambridge University Press:  17 February 2009

Jianzhong Zhang ,
Zhenhong Liu  and
Zhongfan Ma
Jianzhong Zhang
Affiliation:
Department of Mathematics, City University of Hong Kong, Hong Kong.
Zhenhong Liu
Affiliation:
institute of Systems Sciences, Academia Sinica, Beijing, China.
Zhongfan Ma
Affiliation:
institute of Systems Sciences, Academia Sinica, Beijing, China.
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Abstract

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This paper presents a method for the inverse fractional matching problem. We show that the dual of this inverse problem can be transformed into the circulation flow problem on a directed bipartite graph which can be solved easily. We also give an algorithm to obtain the primal optimum solution of the inverse problem from its dual optimum solution by solving a shortest path problem. Furthermore, we generalize this method to solve the inverse symmetric transportation problem.

Type
Research Article
Information
The ANZIAM Journal , Volume 40 , Issue 4 , April 1999 , pp. 484 - 496
Copyright
Copyright © Australian Mathematical Society 1999

References

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