Solving the Multiple Traveling Salesmen Problem with MATLAB

This document presents a MATLAB implementation for solving the Multiple Traveling Salesmen Problem (MTSP). MATLAB provides robust computational capabilities including advanced matrix operations and optimization algorithms essential for MTSP solutions. The implementation typically involves creating distance matrices using built-in functions like `pdist2` for calculating pairwise distances between cities, and employing optimization techniques such as genetic algorithms or integer linear programming through functions like `intlinprog`. Through MATLAB's efficient computational engine, we can solve MTSP more effectively while handling complex constraints like balanced route distribution among salesmen. The platform offers flexibility through customizable objective functions that can minimize total distance, balance workload, or optimize time constraints using matrix manipulations and vectorized operations. This approach enables comprehensive handling of multiple salesmen scenarios with varying depot configurations and route constraints.