Diagnosing infeasibilities in network flow problems

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چکیده

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Diagnosing infeasibilities in network flow problems

We consider the problem of finding a feasible flow in a directed network G = (N,A) in which each node i N has a supply b(i), and each arc (i,j) A has a zero lower bound on flow and an upper bound uij. It is well known that this feasibility problem can be transformed into a maximum flow problem. It is also well known that there is no feasible flow in the network G if and only if there is a subse...

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ژورنال

عنوان ژورنال: Mathematical Programming

سال: 1998

ISSN: 0025-5610,1436-4646

DOI: 10.1007/bf01580084