Prolog Implementation of Traveling Salesperson Problem
This document presents two distinct approaches to solving the Traveling Salesperson Problem (TSP) using Prolog: an exact, brute-force method and a heuristic-based Nearest Neighbor algorithm. Both implementations are demonstrated with code and sample queries.
Exact Solver: Brute-Force TSP Algorithm
This section details a Prolog program that finds the optimal (shortest) path for the Traveling Salesperson Problem by generating and evaluating all possible tours. This method guarantees the optimal solution but can be computationally intensive for larger sets of cities.
Defining City Distances in Prolog
The distances between cities are defined using dist/3
facts. The predicate is made symmetric to ensure that dist(X,Y,D)
implies dist(Y,X,D)
.
dist(a,b,
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