A Subtour Elimination Constraint for Non-simpl e Circuit Problems

抄録

In various problems on graphs to find the optimal path or circuit, feasible solutions are normally assumed to be simple. In reality, however, one-way or return roads, bridges connecting enclaves, etc. often lead to multiple passes through the same points or roads, i.e. a non-simple path or circuit. The difficulty in considering a non-simple path or circuit is that conventional subtour elimination constraints are of no use. Taking the orienteering problem as a target, we newly develop a subtour elimination constraint that works directly against non-simple type problems, and show its effectiveness in computational experiments.