The flow network method

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The flow network method

We present a method which associates with any network a binary relation on its vertices which is complete and quasi-transitive, so that it admits at least a maximum. Such a method, called flow network method, is based on the concept of maximum flow. As an application, given a competition involving two or more players, we identify it with a network whose vertices are the players and use the flow...

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Manuscript received: July 2001 Associate Editor: Jenny Edwards Copyright© 2001, Australian Computer Society Inc. General permission to republish, but not for profit, all or part of this material is granted, provided that the JRPIT copyright notice is given and that reference is made to the publication, to its date of issue, and to the fact that reprinting privileges were granted by permission o...

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in this paper the concept of the minimum universal cost flow (mucf) for an infeasible flow network is introduced. a new mathematical model in which the objective function includes the total costs of changing arc capacities and sending flow is built and analyzed. a polynomial time algorithm is presented to find the mucf.

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ژورنال

عنوان ژورنال: Social Choice and Welfare

سال: 2018

ISSN: 0176-1714,1432-217X

DOI: 10.1007/s00355-018-1131-7