MATLAB Implementation of Simulated Annealing Algorithm for TSP Problem

This MATLAB program implements the simulated annealing algorithm to solve the Traveling Salesman Problem (TSP). The algorithm searches for optimal solutions by simulating the annealing process from metallurgy, effectively finding the shortest path for the TSP. Key implementation details include: temperature scheduling using geometric cooling, neighbor solution generation through city swapping operations, and probabilistic acceptance of worse solutions to escape local optima. The code structure features main functions for energy calculation (total path distance), solution perturbation mechanisms, and annealing parameter configuration. As a heuristic search algorithm, simulated annealing provides an effective approach for solving complex optimization problems. This program helps users understand the working principles of simulated annealing and can be adapted for similar optimization challenges. Users can modify and extend the code according to specific requirements, such as adjusting cooling schedules or implementing different neighborhood structures for various application scenarios. The implementation includes visualization capabilities for tracking solution improvements during the annealing process.