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Answers for “在TSP的背景下,什么是2-opt交换?”

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A 2-opt swap is a local search heuristic for the Traveling Salesman Problem. It involves removing two edges from the current tour and reconnecting the resulting paths in a different way to form a new tour.

Conditions: Applied to a valid TSP tour.; Involves exactly two edge removals and reconnections.

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A 2-Opt swap improves a route by selecting two edges in the current route, removing them, and reconnecting the four endpoints in a different way to form a new, valid cycle. This operation is particularly effective at eliminating self-intersections in a route, thereby reducing the total distance.

Conditions: Requires an existing valid TSP route.; Involves selecting two distinct edges.; The reconnection must produce a single valid cycle.