Add Traveling Salesman Problem (TSP) Algorithms and Tests #536
Add this suggestion to a batch that can be applied as a single commit. This suggestion is invalid because no changes were made to the code. Suggestions cannot be applied while the pull request is closed. Suggestions cannot be applied while viewing a subset of changes. Only one suggestion per line can be applied in a batch. Add this suggestion to a batch that can be applied as a single commit. Applying suggestions on deleted lines is not supported. You must change the existing code in this line in order to create a valid suggestion. Outdated suggestions cannot be applied. This suggestion has been applied or marked resolved. Suggestions cannot be applied from pending reviews. Suggestions cannot be applied on multi-line comments. Suggestions cannot be applied while the pull request is queued to merge. Suggestion cannot be applied right now. Please check back later.
Summary
This PR adds a new module for solving the Traveling Salesman Problem (TSP) in C#. It includes two approaches:
- Brute-force search: Finds the optimal route by checking all possible permutations. Suitable for small numbers of cities.
- Nearest neighbor heuristic: Builds a route by always visiting the nearest unvisited city next. Fast but may not be optimal.
AND,
Details
Implements TravelingSalesmanSolver with detailed XML comments explaining the algorithms and usage.
Provides comprehensive unit tests covering all edge cases, invalid inputs, and correctness for both methods.
Updates the README to include TSP in the list of supported problems, with a description and links to the code.
Usage
The brute-force method guarantees the shortest route for small city counts.
The nearest neighbor method is efficient for larger problems and provides a reasonable approximation.
UT evidence