A typical example of a problem that can be solved with hill climbing is the Travelling salesman problem.
Explanation:
- Hill climbing is a heuristic search algorithm used for optimization problems, where the goal is to find the best solution among a set of possible solutions.
- The Travelling Salesman Problem (TSP) is a classic optimization problem where the goal is to find the shortest possible route that visits each city exactly once and returns to the original city.
- Hill climbing can be applied to TSP by iteratively improving a solution by making small incremental changes, such as swapping the order of cities in the route, in order to minimize the total distance traveled.
- NP-complete problems, recursion problems, and polynomial problems are not typically solved using hill climbing because they often require more complex algorithms and techniques to find optimal solutions.
