2020/06/08 by Robert D. Carr, Carr, Robert D., Neil Simonetti +1
Engineering · Social Sciences · #Vehicle Routing Optimization Methods #Transportation and Mobility Innovations #Transportation Planning and Optimization
paper · pdf · doi:10.48550/arxiv.2006.04933
In the Traveling Salesman Problem (TSP), a salesman wants to visit a set of cities and return home. There is a cost cij of traveling from city i to city j, which is the same in either direction for the Symmetric TSP. The objective is to visit each city exactly once, minimizing total travel costs. In the Graphical TSP, a city may be visited more than once, which may be necessary on a sparse graph. We present a new integer programming formulation for the Graphical TSP requiring only two classes of constraints that are either polynomial in number or polynomially separable, while addressing an open question proposed by Denis Naddef.