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VECPAR
2000
Springer
14 years 5 days ago
A Parallel Implementation of an Interior-Point Algorithm for Multicommodity Network Flows
A parallel implementation of the specialized interior-point algorithm for multicommodity network flows introduced in [5] is presented. In this algorithm, the positive definite syst...
Jordi Castro, Antonio Frangioni
SIAMCOMP
1998
176views more  SIAMCOMP 1998»
13 years 8 months ago
An O(log k) Approximate Min-Cut Max-Flow Theorem and Approximation Algorithm
It is shown that the minimum cut ratio is within a factor of O(log k) of the maximum concurrent flow for k-commodity flow instances with arbitrary capacities and demands. This im...
Yonatan Aumann, Yuval Rabani
FOCS
2002
IEEE
14 years 1 months ago
A Constant-Factor Approximation Algorithm for the Multicommodity
We present the first constant-factor approximation algorithm for network design with multiple commodities and economies of scale. We consider the rent-or-buy problem, a type of m...
Amit Kumar, Anupam Gupta, Tim Roughgarden
COMGEO
2012
ACM
12 years 4 months ago
Routing multi-class traffic flows in the plane
We study a class of multi-commodity flow problems in geometric domains: For a given planar domain P populated with obstacles (holes) of K ≥ 2 types, compute a set of thick path...
Joondong Kim, Joseph S. B. Mitchell, Valentin Poli...
WAOA
2005
Springer
177views Algorithms» more  WAOA 2005»
14 years 2 months ago
Approximation and Complexity of k-Splittable Flows
Given a graph with a source and a sink node, the NP–hard maximum k–splittable flow (MkSF) problem is to find a flow of maximum value with a flow decomposition using at most...
Ronald Koch, Martin Skutella, Ines Spenke