In the present paper we give a direct, shorter, proof of this theorem. Then we prove the existence of a half-integral optimal solution for the dual problem.
Oct 22, 2024 · We consider a network consisting of an undirected graph G=(V,E) with nonnegative integer capacities c(e) and costs a(e) on the edges e\in E, and ...
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What is the minimum cost multi commodity flow problem?
What is the minimum cost network flow problem?
The minimum cost maximum multi(commodity)flow problem (∗) studied in this paper is to find a c-admissible mul- tiflow f in G such that: (i) f is allowed to ...
cost a(e). The minimum cost maximum multi(commodity)flow problem ( * ) studied in this paper is to find a c-admissible multiflowfin G such that: (i) fis ...
Dec 31, 2009 · Generalizing known results on edge-capacitated multiflows, we show that the problem of finding a minimum cost multiflow among the feasible ...
Generalizing known results on edge-capacitated multiflows, we show that the problem of finding a minimum cost multiflow among the feasible multiflows of maximum ...
(PDF) Min-cost multiflows in node-capacitated undirected ...
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We study the problem of finding a fractional node-capacitated multiflow of maximum value in an undirected network. Previously known methods for this problem are ...
Apr 3, 2014 · In the general case, multi-commodity flow can have fractional optimum flow even if the capacities/costs are integers.
Sep 4, 2019 · In this paper, we address the minimum-cost node-capacitated multiflow problem in an undirected network.
Dec 31, 2015 · I'm searching for an example digraph for the multi-commodity minimum cost flow problem with integer demand. There shouldn't be an integer but fractional ...