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2008
95views more  TOC 2008»
13 years 5 months ago
On the LP Relaxation of the Asymmetric Traveling Salesman Path Problem
: This is a comment on the article "An O(logn) Approximation Ratio for the Asymmetric Traveling Salesman Path Problem" by C. Chekuri and M. P
Viswanath Nagarajan
DISOPT
2006
110views more  DISOPT 2006»
13 years 5 months ago
New facets of the STS polytope generated from known facets of the ATS polytope
While it was known for a long time how to transform an asymmetric traveling salesman problem on the complete graph with n vertices into a symmetric traveling salesman problem on a...
Egon Balas, Robert Carr, Matteo Fischetti, Neil Si...
WADS
2007
Springer
189views Algorithms» more  WADS 2007»
13 years 11 months ago
35/44-Approximation for Asymmetric Maximum TSP with Triangle Inequality
We describe a new approximation algorithm for the asymmetric maximum traveling salesman problem (ATSP) with triangle inequality. Our algorithm achieves approximation factor 35/44 ...
Lukasz Kowalik, Marcin Mucha
SODA
2010
ACM
168views Algorithms» more  SODA 2010»
14 years 2 months ago
An O(log n/log log n)-approximation algorithm for the asymmetric traveling salesman problem
We consider the Asymmetric Traveling Salesman problem for costs satisfying the triangle inequality. We derive a randomized algorithm which delivers a solution within a factor O(lo...
Arash Asadpour, Michel X. Goemans, Aleksander Madr...
IPCO
1992
115views Optimization» more  IPCO 1992»
13 years 6 months ago
When is the Assignment Bound Tight for the Asymmetric Traveling Salesman Problem?
We consider the probabilistic relationship between the value of a random asymmetric traveling salesman problem ATSP(M) and the value of its assignment relaxation AP(M). We assume ...
Alan M. Frieze, Richard M. Karp, Bruce A. Reed