Solving the Multiple Traveling Salesman Problem Using MATLAB

Using MATLAB's toolbox, the Traveling Salesman Problem (TSP) can be efficiently solved, specifically addressing how to plan optimal routes for multiple salesmen to complete their travel tasks in minimal time. The implementation typically involves genetic algorithms or integer linear programming approaches through functions like `intlinprog` for optimization. MATLAB's powerful matrix computation capabilities enable handling of large datasets and numerical calculations, including linear algebra operations using built-in functions like `eig` for eigenvalues, symbolic calculus with the Symbolic Math Toolbox, and statistical analysis with `mean`, `std`, and distribution fitting tools. Furthermore, MATLAB provides comprehensive toolsets and functions such as `optimize` for algorithm refinement, plotting functions (`plot3`, `scatter`) for data visualization, and Simulink for model building, ensuring efficient and accurate problem-solving through iterative optimization and graphical result analysis.