id: 06065742 dt: j an: 06065742 au: Roemer, Thomas A.; Ahmadi, Reza; Dasu, Sriram ti: The traveling salesman problem with flexible coloring. so: Discrete Appl. Math. 160, No. 12, 1798-1814 (2012). py: 2012 pu: Elsevier Science B.V. (North-Holland), Amsterdam la: EN cc: ut: traveling salesman problem; complexity; heuristics; probabilistic analysis; error bounds ci: li: doi:10.1016/j.dam.2012.03.004 ab: Summary: This paper introduces a new generalized version of the Traveling Salesman Problem (TSP) in which nodes belong to various color classes and each color class must be visited as an entity. We distinguish the cases of the problem for which the colors are either pre-assigned or can be selected from a given subset of colors. We establish computational complexity and provide concise formulations for the problems that lend themselves to derive tight lower bounds. Exact solutions for special cases and a two-phase heuristic for the general case are provided. Worst case performance and asymptotic performance of the heuristic are analyzed and the effectiveness of the proposed heuristic in solving large industrial size problems is empirically demonstrated. rv: