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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?
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 Vogel’s approximation method
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 ______
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
Consider the following transportation problem
| Destination | Availability | ||||
| 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 Vogel’s approximation method
Determine an initial basic feasible solution to the following transportation problem by using least cost method
| Destination | Supply | ||||
| D1 | D2 | D3 | |||
| S1 | 9 | 8 | 5 | 25 | |
| Source | S2 | 6 | 8 | 4 | 35 |
| S3 | 7 | 6 | 9 | 40 | |
| Requirement | 30 | 25 | 45 | ||
