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Author Erlebach, Thomas ♦ Jansen, Klaus
Source ACM Digital Library
Content type Text
Publisher Association for Computing Machinery (ACM)
File Format PDF
Copyright Year ©2002
Language English
Subject Domain (in DDC) Computer science, information & general works ♦ Computer programming, programs & data
Subject Keyword Algorithms ♦ Combinatorial optimization ♦ Experimentation ♦ Linear programming
Abstract Given a set of weighted directed paths in a bidirected tree, the maximum weight edge-disjoint paths problem (MWEDP) is to select a subset of the given paths such that the selected paths are edge-disjoint and the total weight of the selected paths is maximized. MWEDP is $\textit{NP}-$ hard for bidirected trees of unbounded degree, even if all weights are the same (the unweighted case). Three different approximation algorithms are implemented: a known combinatorial (5/3 + ε)-approximation algorithm $\textit{A}1$ for the unweighted case, a new combinatorial 2-approximation algorithm $\textit{A}2$ for the weighted case, and a known (5/3 + ε)-approximation algorithm $\textit{A}3$ for the weighted case that is based on linear programming. For algorithm $\textit{A}1,$ it is shown how efficient data structures can be used to obtain a worst-case running-time of O(m + n + $4^{1/ε}$ √n ċ m) for instances consisting of $\textit{m}$ paths in a tree with $\textit{n}$ nodes. Experimental results regarding the running-times and the quality of the solutions obtained by the three approximation algorithms are reported. Where possible, the approximate solutions are compared to the optimal solutions, which were computed by running CPLEX on an integer linear programming formulation of MWEDP.
ISSN 10846654
Age Range 18 to 22 years ♦ above 22 year
Educational Use Research
Education Level UG and PG
Learning Resource Type Article
Publisher Date 2002-12-01
Publisher Place New York
e-ISSN 10846654
Journal Journal of Experimental Algorithmics (JEA)
Volume Number 7
Starting Page 6


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Source: ACM Digital Library