تحديد الطريقة المثلى من بين طريقتي السمبلكس المعدلة والمضاعفات المبرمجة

The aim of this paper is to conclude the optimal method for solving the transportation problems on the computer by comparing the performance of the revised simplex method and the Vogel’s approximation method followed by the method of multipliers in order to improve the solution. In applying the solution algorithms for the above two methods, a decisive conclusion is reached , that is , the second method is considered as the optimal for solving the transportation problems on the computer through using the number of some basic arithmetic operations as a criterion for comparing the tow methods