… Computational results on a wide range of benchmark instances and … An effective neighboring
solution generation process should … All the 115 instances are Euclidean and contain the co-…

… LS algorithms have shown effective for the TSP. In LS … for solving TSP, starts by creating a
graph of TSP instance and … good solutions and therefore, approximation algorithms are very …

… if a local search procedure is called for every solution (line 9)… resulting in perturbation of
the current solutions (positions). … method produced solutions to the largest TSP instances from …

… Therefore, efficient algorithms identified so far are … approximation to the maximum scatter
TSP solution. We note that it … in 5 instances corresponding to input graphs with very few nodes (…

… instance of EUCLIDEAN TSP is given by a point set P ⊆ Rd. By using a standard O(n log n)
time perturbation … First, we do not need an efficient construction and only need to prove the …

… are highly efficient and solve even large instances in reasonable … targeted instance generation
of Euclidean TSP instances by … perturbation, ie, ®π′ = ®π + N(®0, diag(σ,σ)) with σ > 0. …

… and TSP st we efficiently determine the updated solution. (3) … SAT and TSP can be easily
fooled with small perturbations of … For example, if we add a node to a TSP instance, the optimal …

… prune a large fraction of the variables in TSP instances from … Solving the perturbed problem
results in different solution … possible to learn to effectively sparsify TSP instances, pruning the …

… the TSP, for example, has covered very large instances since … c g ( · ), we obtain a perturbed
solution s p . We found that P ≤ 100 … All distances are Euclidean and rounded to the nearest …

… solutions to the problem instances taken from the TSP Library … based on a self-organizing
map to solve the Euclidean TSP. … whether the solutions obtained are Pareto efficient. MATLAB …