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IPCO
1992
115views Optimization» more  IPCO 1992»
14 years 10 days 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
ICEC
1996
123views more  ICEC 1996»
14 years 15 days ago
Solving Symmetric and Asymmetric TSPs by Ant Colonies
- In this paper we present ACS, a distributed algorithm for the solution of combinatorial optimization problems which was inspired by the observation of real colonies of ants. We a...
Luca Maria Gambardella, Marco Dorigo
IJCAI
2003
14 years 17 days ago
Phase Transitions of the Asymmetric Traveling Salesman
We empirically study phase transitions of the asymmetric Traveling Salesman. Using random instances of up to 1,500 cities, we show that many properties of the problem, including t...
Weixiong Zhang
APPROX
2010
Springer
193views Algorithms» more  APPROX 2010»
14 years 22 days 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
APPROX
2008
Springer
135views Algorithms» more  APPROX 2008»
14 years 1 months ago
The Directed Minimum Latency Problem
We study the directed minimum latency problem: given an n-vertex asymmetric metric (V, d) with a root vertex r V , find a spanning path originating at r that minimizes the sum of...
Viswanath Nagarajan, R. Ravi
SODA
2010
ACM
168views Algorithms» more  SODA 2010»
14 years 8 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...