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TOC
2008
95views more  TOC 2008»
13 years 4 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 1 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»
13 years 6 months 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 5 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 2 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