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» A Simple LP Relaxation for the Asymmetric Traveling Salesman...
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ENDM
2010
136views more  ENDM 2010»
13 years 7 months ago
Approximating the asymmetric profitable tour
Abstract We study the version of the asymmetric prize collecting traveling salesman problem, where the objective is to find a directed tour that visits a subset of vertices such th...
Viet Hung Nguyen, Thi Thu Thuy Nguyen
CAAN
2006
Springer
13 years 11 months ago
Tolerance Based Contract-or-Patch Heuristic for the Asymmetric TSP
In this paper we improve the quality of a recently suggested class of construction heuristics for the Asymmetric Traveling Salesman Problem (ATSP), namely the Contract-or-Patch heu...
Boris Goldengorin, Gerold Jäger, Paul Molitor
FOCS
2003
IEEE
14 years 27 days ago
Approximation Algorithms for Asymmetric TSP by Decomposing Directed Regular Multigraphs
A directed multigraph is said to be d-regular if the indegree and outdegree of every vertex is exactly d. By Hall’s theorem one can represent such a multigraph as a combination ...
Haim Kaplan, Moshe Lewenstein, Nira Shafrir, Maxim...
CORR
2011
Springer
174views Education» more  CORR 2011»
12 years 11 months ago
Lift-and-Project Integrality Gaps for the Traveling Salesperson Problem
We study the lift-and-project procedures of Lov´asz-Schrijver and Sherali-Adams applied to the standard linear programming relaxation of the traveling salesperson problem with tr...
Thomas Watson
APPROX
2010
Springer
193views Algorithms» more  APPROX 2010»
13 years 9 months ago
Approximation Algorithms for the Directed k-Tour and k-Stroll Problems
We consider two natural generalizations of the Asymmetric Traveling Salesman problem: the k-Stroll and the k-Tour problems. The input to the k-Stroll problem is a directed n-verte...
MohammadHossein Bateni, Julia Chuzhoy