Question
Which of the following are the methods for finding an Initial feasible solution for a Transportation problem ?
A. Stepping Stone Method
B. Vogel's Approximation Method
C. The North West Corner Rule
D. Lowest Cost Entry Method
E. Modified Distribution (MODI) Method
Choose the correct answer from the options given below :
This question was previously asked in
CUET PG 2026 Agri-Business Management Question Paper (25-Mar-2026) (Shift 2)
The correct answer is
B, C and D only
Methods for Initial Feasible Solution in Transportation Problems
The goal in a transportation problem is to find the minimum cost to transport goods from various sources to destinations. Before finding the minimum cost (optimal solution), we need a starting point, which is called an initial feasible solution. This solution must satisfy all supply and demand constraints.
Several methods exist to find this starting point. Let's identify them:
Methods for Initial Feasible Solution
- North West Corner Rule (NWCR): This is a simple method where allocation starts from the top-left cell (north-west corner) of the transportation table and proceeds row by row or column by column, satisfying demand or supply at each step.
- Vogel's Approximation Method (VAM): VAM is generally considered a better method for finding a good initial feasible solution that is closer to the optimal solution. It calculates penalties (differences between the two lowest costs) in rows and columns and allocates to the cell with the lowest cost in the row/column with the highest penalty.
- Lowest Cost Entry Method (LCM): Also known as the Matrix Minimum Method, this method involves allocating units to the available cell with the lowest per-unit cost in the entire transportation table first, then satisfying demand and supply.
Methods for Optimality Check
Some methods listed are used to check if an initial feasible solution is optimal and, if not, to improve it towards the optimal solution. These are not used for finding the initial feasible solution itself:
- Stepping Stone Method: This is an iterative method used to improve an existing feasible solution by evaluating the effect of shifting allocations.
- Modified Distribution (MODI) Method: Similar to the Stepping Stone Method, MODI is used to find the optimal solution by evaluating unoccupied cells and improving the current feasible solution.
Therefore, the methods specifically for finding an initial feasible solution for a Transportation problem are Vogel's Approximation Method, The North West Corner Rule, and the Lowest Cost Entry Method.
The correct choices are B, C, and D.
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