Matrix Minimum Method Calculator for Transportation Problems

Calculate Transportation Cost using Matrix Minimum Method

Supply Constraints

Enter the supply available from each source.

Demand Constraints

Enter the demand required at each destination.

Cost Matrix

Enter the unit transportation cost from each source to each destination.

Dest 1 Dest 2 Dest 3
Source 1
Source 2
Source 3

Discover the Matrix Minimum Method, also known as the Least Cost Cell Method, a crucial technique in operations research. This calculator helps you find the initial basic feasible solution for transportation problems, optimizing resource allocation and minimizing total transportation costs. Ideal for supply chain optimization and logistics planning, it simplifies complex calculations for efficient decision making.

Formula:

The Matrix Minimum Method (also known as the Least Cost Cell Method) aims to find an initial basic feasible solution to a transportation problem by allocating units to the cell with the minimum cost in the entire matrix first.

The total cost is calculated as the sum of (units allocated × cost per unit) for all allocations:

Total Cost = ∑ (Allocationij × Costij)

  • Allocationij = Units transported from source i to destination j
  • Costij = Cost of transporting one unit from source i to destination j

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