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euclidean tsp

ESAIM: Control, Optimisation and Calculus of Variations (1)

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Continuous reformulations and heuristics for the Euclidean travelling salesperson problem
Tuomo Valkonen, Tommi Kärkkäinen
Journal:

ESAIM: Control, Optimisation and Calculus of Variations / Volume 15 / Issue 4 / October 2009

Published online by Cambridge University Press:

20 August 2008, pp. 895-913

Print publication:

October 2009
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We consider continuous reformulations of the Euclidean travelling salesperson problem (TSP), based on certain clustering problemformulations. These reformulations allow us to apply a generalisation with perturbations of the Weiszfeld algorithm in an attempt tofind local approximate solutions to the Euclidean TSP.