Optimize your transportation problems with our Stepping Stone Method Calculator. Find the most cost-effective distribution plan for goods from multiple sources to various destinations, ensuring efficient logistics and reduced expenses. A key tool in operations research for logistics and supply chain management.
Formula:
The Stepping Stone Method is an iterative algorithm designed to find the optimal (minimum cost) distribution plan for a balanced transportation problem. The objective function it aims to minimize is:
Minimize Z = ΣΣ (cij × xij)
Where:
- Z is the total transportation cost.
- cij is the cost of transporting one unit from source i to destination j.
- xij is the number of units transported from source i to destination j.
The calculator first finds an initial basic feasible solution (e.g., using North-West Corner Rule) and its total cost.