MATLAB Implementation of the Savings Algorithm for Mileage Optimization

I have developed a MATLAB program for implementing the savings algorithm, which has been rigorously tested with practical examples to ensure its functionality and reliability. The program incorporates various mathematical principles and formulas, including linear algebra for matrix operations, calculus for optimization processes, and probability theory for stochastic route evaluations. During development, I focused on integrating the core algorithm with MATLAB's built-in functions and optimization toolboxes to enhance computational efficiency and solution accuracy. The implementation features key components such as distance matrix calculation, customer demand sorting, and iterative route consolidation using the savings criterion. I conducted extensive parameter testing and variable adjustments to verify stable performance under diverse scenarios. This program provides researchers and engineers with an effective tool for calculating and optimizing fuel-saving strategies in logistics and transportation planning.