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Asparagos96 and the traveling salesman problem
Proceedings of 1997 IEEE International Conference on Evolutionary Computation (ICEC '97), 2002The paper describes a spatially structured evolutionary algorithm being applied to the symmetric and asymmetric traveling salesman problem (TSP). This approach shows that a genetic algorithm with high degree of isolation-by-distance in combination with a simple repairing mechanism is able to find high quality solutions for the TSP.
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The traveling-salesman problem (abstract)
Proceedings of the 1990 ACM annual conference on Cooperation - CSC '90, 1990The traveling-salesman problem is one of the classical NP-Complete problems. No current algorithms are available which can solve these problems in polynomial time, that is, the number of steps grows as a polynomial according to the size of the input. The traveling-salesman problem involves a salesman who must make a tour of a number of cities using the
Susan N. Twohig, Samuel O. Aletan
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Algorithms for the on-line travelling salesman
Algorithmica, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
AUSIELLO, Giorgio +4 more
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Submodularity and the traveling salesman problem
European Journal of Operational Research, 1999Consider a central warehouse and a set \(V\) of retailers. For \(S \subseteq V\) let \(T(S)\) the length of an optimal traveling salesman tour through the retailers in \(S\) and the warehouse. The problem investigated is to find a submodular function \(K(S)\) and a small \(\alpha\) such that \(T(S)\leq K(S)\leq \alpha T(S)\) for all \(S\subseteq V ...
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Solving Large-Scale Symmetric Travelling Salesman Problems to Optimality
Management Science, 1980Manfred W Padberg
exaly
Some Applications of the Generalized Travelling Salesman Problem
Journal of the Operational Research Society, 1996Gilbert Laporte +2 more
exaly
On the symmetric travelling salesman problem I: Inequalities
Mathematical Programming, 1979Martin Grötschel +2 more
exaly
Some applications of the clustered travelling salesman problem
Journal of the Operational Research Society, 2002Gilbert Laporte
exaly

