Alekseeva, Ekaterina; Kochetov, Yuri; Plyasunov, Alexander - In: European Journal of Operational Research 191 (2008) 3, pp. 736-752
We study the complexity of finding local minima for the p-median problem. The relationship between Swap local optima, 0-1 local saddle points, and classical Karush-Kuhn-Tucker conditions is presented. It is shown that the local search problems with some neighborhoods are tight PLS-complete....