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Which one of the following is not the solution method of transportation problems?
- a)Hungarian method
- b)Northwest corner method
- c)Least cost method
- d)Vogel's approximation method
Correct answer is option 'A'. Can you explain this answer?
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Which one of the following is not the solution method of transportati...
Hungarian method is used in assignment problem (but remember assignment problem is a special case of transportation problem).
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Which one of the following is not the solution method of transportati...
Explanation:
Transportation Problems:
Transportation problems are a class of optimization problems dealing with the distribution of goods from multiple sources to multiple destinations.
Methods for Solving Transportation Problems:
1. Northwest Corner Method:
- The northwest corner method is a basic and intuitive method for finding an initial feasible solution to a transportation problem.
- It starts at the top left corner of the transportation table and allocates shipments until one of the sources or destinations is exhausted.
2. Least Cost Method:
- The least cost method involves selecting the cell with the lowest transportation cost and allocating as many units as possible to that cell.
- This process is repeated until all supply and demand requirements are met.
3. Vogel's Approximation Method (VAM):
- Vogel's approximation method is an improvement over the least cost method and helps in finding a better initial feasible solution.
- It considers the difference between the two lowest costs for each row and column to determine which cell to allocate next.
4. Hungarian Method:
- The Hungarian method is a more complex algorithm used to solve assignment problems, which are a special case of transportation problems.
- It involves finding the minimum cost assignment by creating a cost matrix and iteratively reducing the costs to find the optimal solution.
Conclusion:
Among the given options, the Hungarian method is not a solution method for transportation problems. It is used for solving assignment problems, while the Northwest corner method, Least cost method, and Vogel's approximation method are specifically designed for transportation problems.
Transportation Problems:
Transportation problems are a class of optimization problems dealing with the distribution of goods from multiple sources to multiple destinations.
Methods for Solving Transportation Problems:
1. Northwest Corner Method:
- The northwest corner method is a basic and intuitive method for finding an initial feasible solution to a transportation problem.
- It starts at the top left corner of the transportation table and allocates shipments until one of the sources or destinations is exhausted.
2. Least Cost Method:
- The least cost method involves selecting the cell with the lowest transportation cost and allocating as many units as possible to that cell.
- This process is repeated until all supply and demand requirements are met.
3. Vogel's Approximation Method (VAM):
- Vogel's approximation method is an improvement over the least cost method and helps in finding a better initial feasible solution.
- It considers the difference between the two lowest costs for each row and column to determine which cell to allocate next.
4. Hungarian Method:
- The Hungarian method is a more complex algorithm used to solve assignment problems, which are a special case of transportation problems.
- It involves finding the minimum cost assignment by creating a cost matrix and iteratively reducing the costs to find the optimal solution.
Conclusion:
Among the given options, the Hungarian method is not a solution method for transportation problems. It is used for solving assignment problems, while the Northwest corner method, Least cost method, and Vogel's approximation method are specifically designed for transportation problems.
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Which one of the following is not the solution method of transportation problems?a) Hungarian methodb) Northwest corner methodc) Least cost methodd) Vogel's approximation methodCorrect answer is option 'A'. Can you explain this answer?
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