MODIFIED MINIMUM ALLOCATION METHOD - AN OPTIMAL SOLUTION FOR TRANSPORTATION PROBLEM

Abstract

A special case of LPP known as TP arises frequently in real life situations.  Traditionally we solve the transportation problem in two stages, firstly we use any of the existing methods for obtaining IBFS and second stage, and we apply MODI method for obtaining IBFS. Alternating stepping stone method proposed by charnels et.al (1953) may also be used instead of MODI (Modified Distribution approach) method.  But this traditional practice involves lengthy mathematical calculations for obtaining the optimal solution of TP.

To minimize the effort of mathematical calculations Dr. R. Murugasan proposed a method named MODA which tests the optimality of a solution and also optimizes the solution if it is not optimal. In this research article we have proposed an innovative method MODI-MAM, this also tests the optimality solution. We have found very easy and less iteration to solve the problem.