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» Traveling Salesman Problem: The Human Case
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IPL
2002
118views more  IPL 2002»
14 years 9 months ago
Differential approximation results for the traveling salesman and related problems
This paper deals with the problem of constructing a Hamiltonian cycle of optimal weight, called TSP. We show that TSP is 2/3-differential approximable and can not be differential a...
Jérôme Monnot
FOCS
1995
IEEE
15 years 1 months ago
An Approximation Scheme for Planar Graph TSP
We consider the special case of the traveling salesman problem TSP in which the distance metric is the shortest-path metric of a planar unweighted graph. We present a polynomial...
Michelangelo Grigni, Elias Koutsoupias, Christos H...
ESA
2005
Springer
98views Algorithms» more  ESA 2005»
15 years 3 months ago
Improved Approximation Algorithms for Metric Max TSP
We present two polynomial-time approximation algorithms for the metric case of the maximum traveling salesman problem. One of them is for directed graphs and its approximation rat...
Zhi-Zhong Chen, Takayuki Nagoya
DISOPT
2010
138views more  DISOPT 2010»
14 years 9 months ago
The Delivery Man Problem with time windows
In this paper, a variant of the Traveling Salesman Problem with Time Windows is considered, which consists in minimizing the sum of travel durations between a depot and several cu...
Géraldine Heilporn, Jean-François Co...
ESA
2003
Springer
189views Algorithms» more  ESA 2003»
15 years 3 months ago
On the Complexity of Approximating TSP with Neighborhoods and Related Problems
We prove that various geometric covering problems, related to the Travelling Salesman Problem cannot be efficiently approximated to within any constant factor unless P = NP. This ...
Shmuel Safra, Oded Schwartz