6533b833fe1ef96bd129ca6a

RESEARCH PRODUCT

Continuous reformulations and heuristics for the Euclidean travelling salesperson problem

Tuomo ValkonenTommi Kärkkäinen

subject

Computational MathematicsMathematical optimizationControl and OptimizationControl and Systems EngineeringProblem FormulationsEuclidean geometryApplied mathematicsComputer Science::Data Structures and AlgorithmsHeuristicsCluster analysisMathematics

description

We consider continuous reformulations of the Euclidean travelling salesperson problem (TSP), based on certain clustering problem formulations. These reformulations allow us to apply a generalisation with perturbations of the Weiszfeld algorithm in an attempt to find local approximate solutions to the Euclidean TSP.

https://doi.org/10.1051/cocv:2008056