Table of Contents
What is meant by Vogel approximation method?
Vogel Approximation Method is used to find the feasible solution for transportation of goods where the solution is either optimal or near to the optimal solution. This method is used to reduce the transportation costs by interpreting in a mathematical table the transportation costs from one place to another.
What are the steps involved in Vogel’s approximation method?
- Step 1: Balance the problem.
- Step 2: Find out the Row difference and the Column difference.
- Step 3: Select the row/column with highest difference.
- Step 4: Remove the row/column whose supply or demand is fulfilled and prepare new matrix and repeat the same procedure.
Why Vogel’s approximation method is best?
VAM is a better method than the method of Least Cost and North West Corner in searching for feasible baseline solutions early. Allocate as many variables as possible with the smallest unit cost in the selected row or column. Adjust the supply and demand, and remove the rows or columns that have been fulfilled.
Why Vogel’s approximation method is assumed to provide better result than NWC?
Vogel’s Approximation Method gives better result with less iterations. Among the traditional methods, VAM usually gives better initial basic feasible solution. Among these method, VAM provide better result.
What is LCM and VAM?
North West Corner Method (NWCM) , Least Cost Method (LCM) and Vogel’s Approximation Method (VAM) are the classical methods for solving transportation problems and are well discussed in all the operation research books. NWCM was introduced by Charnes in 1953, VAM was introduced by Reinfeld and Vogel in1958, LCM.
What do you mean by VAM method?
A method for finding a first feasible solution to a transportation problem. The procedure begins by finding the two lowest cost cells for each row and column in the transportation problem array.
Where do I find the VAM method?
Method: Vogel’s Approximation Method(VAM) Step 1: Calculate the penalties for each row and each column. Here penalty means the difference between the two successive least cost in a row and in a column . Step 2: Select the row or column with the largest penalty.
What is penalty in VAM method?
In VAM approach, Penalties are determined by the difference of two minimum costs of each row and each column. The highest penalty indicates that among the two minimum cost, one is the lowest and another is too high. For that case VAM may not be given the lowest feasible solution.
Which method gives best approximation?
Because a generalized Fourier series is used to develop the approxi mator, a “best approximation” is achieved in the “least-squares” sense; hence the name, the Best Approximation Method.
Which method gives best approximate results?
Vogel’s Approximation Method (VAM) usually provides better result in comparison to othet methods for finding initial basic feasible solution. Vogel’s Approximation Method gives better result with less iterations.
What is Vogel approximation method transportation problems?
Definition: The Vogel’s Approximation Method or VAM is an iterative procedure calculated to find out the initial feasible solution of the transportation problem. Like Least cost Method, here also the shipping cost is taken into consideration, but in a relative sense.