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प्रश्न
What do you mean by balanced transportation problem?
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उत्तर
The balanced transportation problem is a transportation problem where the total availability at the origins is equal to the total requirements at the destinations.
i.e `sum_("i" = 1)^"m" "a"_"i" = sum_("j" = 1)^"n" "b"_"i"`
A feasible solution can be obtained to these problems by Northwest comer method, minimum cost method or Vogel’s approximation method.
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संबंधित प्रश्न
What is transportation problem?
Find an initial basic feasible solution of the following problem using the northwest corner rule.
| D1 | D2 | D3 | D4 | Supply | |
| O1 | 5 | 3 | 6 | 2 | 19 |
| O2 | 4 | 7 | 9 | 1 | 37 |
| O3 | 3 | 4 | 7 | 5 | 34 |
| Demand | 16 | 18 | 31 | 25 |
Determine an initial basic feasible solution of the following transportation problem by north west corner method.
| Bangalore | Nasik | Bhopal | Delhi | Capacity | |
| Chennai | 6 | 8 | 8 | 5 | 30 |
| Madurai | 5 | 11 | 9 | 7 | 40 |
| Trickly | 8 | 9 | 7 | 13 | 50 |
| Demand (Units/day) |
35 | 28 | 32 | 25 |
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 |
Consider the following transportation problem.
| D1 | D2 | D3 | D4 | Availability | |
| O1 | 5 | 8 | 3 | 6 | 30 |
| O2 | 4 | 5 | 7 | 4 | 50 |
| O3 | 6 | 2 | 4 | 6 | 20 |
| Requirement | 30 | 40 | 20 | 10 |
Determine initial basic feasible solution by VAM.
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
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:
In a non – degenerate solution number of allocation is
The following table summarizes the supply, demand and cost information for four factors S1, S2, S3, S4 Shipping goods to three warehouses D1, D2, D3.
| D1 | D2 | D3 | Supply | |
| S1 | 2 | 7 | 14 | 5 |
| S2 | 3 | 3 | 1 | 8 |
| S3 | 5 | 4 | 7 | 7 |
| S4 | 1 | 6 | 2 | 14 |
| Demand | 7 | 9 | 18 |
Find an initial solution by using north west corner rule. What is the total cost for this solution?
