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PPSN
2004
Springer
13 years 10 months ago
Phase Transition Properties of Clustered Travelling Salesman Problem Instances Generated with Evolutionary Computation
Abstract. This paper introduces a generator that creates problem instances for the Euclidean symmetric travelling salesman problem. To fit real world problems, we look at maps con...
Jano I. van Hemert, Neil Urquhart
CORR
2006
Springer
146views Education» more  CORR 2006»
13 years 5 months ago
Approximation Algorithms for Multi-Criteria Traveling Salesman Problems
In multi-criteria optimization, several objective functions are to be optimized. Since the different objective functions are usually in conflict with each other, one cannot conside...
Bodo Manthey, L. Shankar Ram
APPROX
2008
Springer
100views Algorithms» more  APPROX 2008»
13 years 7 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
ENDM
2010
136views more  ENDM 2010»
13 years 5 months ago
Approximating the asymmetric profitable tour
Abstract We study the version of the asymmetric prize collecting traveling salesman problem, where the objective is to find a directed tour that visits a subset of vertices such th...
Viet Hung Nguyen, Thi Thu Thuy Nguyen
EOR
2006
118views more  EOR 2006»
13 years 5 months ago
A random-key genetic algorithm for the generalized traveling salesman problem
The Generalized Traveling Salesman Problem is a variation of the well known Traveling Salesman Problem in which the set of nodes is divided into clusters; the objective is to find...
Lawrence V. Snyder, Mark S. Daskin