Fundamental Program for LRP Problem

This article presents a fundamental MATLAB program for solving Location-Routing Problems (LRP). The implementation is based on shortest-path algorithms and serves as a foundation for vehicle routing research. The program features core functions for distance matrix calculation, route optimization, and location selection algorithms. Key technical aspects include Dijkstra's algorithm implementation for pathfinding and combinatorial optimization techniques for route planning. Potential application scenarios include: analyzing optimal vehicle travel routes, optimizing transportation networks to reduce traffic congestion, and improving logistics operations through efficient cargo transportation path planning. The code structure allows for customization of constraints such as vehicle capacity, time windows, and multiple depot locations. This implementation provides researchers with a modular framework to extend LRP solutions with additional constraints and optimization objectives, potentially inspiring further research advancements in transportation optimization algorithms.