Continuous reformulations and heuristics for the Euclidean travelling salesperson problem

Tuomo Valkonen, Tommi Kärkkäinen
2008 E S A I M: Control, Optimisation and Calculus of Variations  
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. Mathematics Subject Classification. 90C26, 90C59, 90C27.
doi:10.1051/cocv:2008056 fatcat:fezrx75udzctpaa2jomira6tum