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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
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 |
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.
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In a non – degenerate solution number of allocation is
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The Penalty in VAM represents difference between the first ______
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Solution for transportation problem using ______ method is nearer to an optimal solution.
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In an assignment problem the value of decision variable xij 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?
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
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 | ||
