A Study on Transportation Models in Their Minimum and Maximum Values with Applications of Real Data

Abstract

The purpose of this paper is to apply different transportation models in their minimum and maximum values by finding starting basic feasible solution and finding the optimal solution. The requirements of transportation models were presented with one of their applications in the case of minimizing the objective function, which was conducted by the researcher as real data, which took place one month in 2015, in one of the poultry farms for the production of eggs in the governorate of Ajlun- Jordan, where the eggs were stored in three stores until marketed to four markets. A suggested method was also presented in case of maximizing the objective function based on the use of the Minimax rule. In the first step, it determines the maximum marginal profit for each row and column, and then selects the smallest marginal profit between rows or columns until the rest next steps. This method used the costs used for real data in poultry farms to find marginal profits.                                                                                                                      

The most important results of starting basic feasible solution, is that Vogel's method was less total cost(3400) JD when compared with north west corner method and least cost method .                      

 In the optimal solution, MODI method was used for Vogel's method and other methods, where positive or negative values ​​were obtained for all costs or profits of the non-basic variables. The total profit of the proposed method in this paper is equal to the results of the different methods amounting to (20600) JD.