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TOC
2008
95views more  TOC 2008»
13 years 10 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
SODA
2010
ACM
231views Algorithms» more  SODA 2010»
14 years 8 months ago
Asymmetric Traveling Salesman Path and Directed Latency Problems
We study integrality gaps and approximability of two closely related problems on directed graphs. Given a set V of n nodes in an underlying asymmetric metric and two specified nod...
Zachary Friggstad, Mohammad R. Salavatipour, Zoya ...
APPROX
2008
Springer
100views Algorithms» more  APPROX 2008»
14 years 25 days ago
A Simple LP Relaxation for the Asymmetric Traveling Salesman Problem
A long-standing conjecture in Combinatorial Optimization is that the integrality gap of the Held-Karp LP relaxation for the Asymmetric Traveling Salesman Problem (ATSP) is a consta...
Thành Nguyen
IPCO
1992
115views Optimization» more  IPCO 1992»
13 years 12 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
NMA
2010
13 years 8 months ago
Metaheuristics for the Asymmetric Hamiltonian Path Problem
One of the most important applications of the Asymmetric Hamiltonian Path Problem is in scheduling. In this paper we describe a variant of this problem, and develop both a mathemat...
João Pedro Pedroso