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प्रश्न
What is feasible solution and non degenerate solution in transportation problem?
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उत्तर
Feasible Solution: A feasible solution to a transportation problem is a set of non-negative values xij (i = 1, 2, … m, j = 1, 2, … n) that satisfies the constraints.
Non-degenerate basic feasible solution: If a basic feasible solution to a transportation problem contains exactly m + n – 1 allocations in independent positions, it is called a Non-degenerate basic feasible solution.
Here m is the number of rows and n is the number of columns in a transportation problem.
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संबंधित प्रश्न
Write mathematical form of transportation problem
Obtain an initial basic feasible solution to the following transportation problem by using least-cost method.
| D1 | D2 | D3 | Supply | |
| O1 | 9 | 8 | 5 | 25 |
| O2 | 6 | 8 | 4 | 35 |
| O3 | 7 | 6 | 9 | 40 |
| Demand | 30 | 25 | 45 |
Explain Vogel’s approximation method by obtaining initial feasible solution of the following transportation problem.
| D1 | D2 | D3 | D4 | Supply | |
| O1 | 2 | 3 | 11 | 7 | 6 |
| O2 | 1 | 0 | 6 | 1 | 1 |
| O3 | 5 | 8 | 15 | 9 | 10 |
| Demand | 7 | 5 | 3 | 2 |
Find the initial basic feasible solution of the following transportation problem:
| I | II | III | Demand | |
| A | 1 | 2 | 6 | 7 |
| B | 0 | 4 | 2 | 12 |
| C | 3 | 1 | 5 | 11 |
| Supply | 10 | 10 | 10 |
Using Least Cost method
Find the initial basic feasible solution of the following transportation problem:
| I | II | III | Demand | |
| A | 1 | 2 | 6 | 7 |
| B | 0 | 4 | 2 | 12 |
| C | 3 | 1 | 5 | 11 |
| Supply | 10 | 10 | 10 |
Using Vogel’s approximation method
Obtain an initial basic feasible solution to the following transportation problem by north west corner method.
| D | E | F | C | Available | |
| A | 11 | 13 | 17 | 14 | 250 |
| B | 16 | 18 | 14 | 10 | 300 |
| C | 21 | 24 | 13 | 10 | 400 |
| Required | 200 | 225 | 275 | 250 |
Choose the correct alternative:
The transportation problem is said to be unbalanced if ______
Choose the correct alternative:
The Penalty in VAM represents difference between the first ______
Choose the correct alternative:
Solution for transportation problem using ______ method is nearer to an optimal solution.
Consider the following transportation problem
| Detination | Availabiity | ||||
| D1 | D2 | D3 | D4 | ||
| O1 | 5 | 8 | 3 | 6 | 30 |
| O2 | 4 | 5 | 7 | 4 | 50 |
| O3 | 6 | 2 | 4 | 6 | 20 |
| Requirement | 30 | 40 | 20 | 10 | |
Determine an initial basic feasible solution using Least cost method
