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inverse combinatorial optimization

RAIRO - Operations Research (1)

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1 results

The inverse maximum flow problem considering l ∞ norm
Adrian Deaconu
Journal:

RAIRO - Operations Research / Volume 42 / Issue 3 / July 2008

Published online by Cambridge University Press:

20 August 2008, pp. 401-414

Print publication:

July 2008
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The problem is to modify the capacities of the arcs from a network so that a given feasible flow becomes a maximum flow and the maximum change of the capacities on arcs is minimum. A very fast O(m⋅log(n)) time complexity algorithm for solving this problem is presented, where m is the number of arcs and n is the number of nodes of the network. The case when both, lower and upper bounds of the flow can be modified so that the given feasible flow becomes a maximum flow is also discussed. The algorithm proposed can be adapted to solve this problem, too. The inverse minimum flow problem considering l ∞ norm is also studied.