Comparative Analysis of Simplex, Dual Simplex and Graphical Method of Optimization Technique Establishing Implementation of Optimization Tools In MATLAB.

Abstract

 Optimization technique plays an important role in real world problems. There are various Optimization technique consist of classical optimization method and advanced optimization methods which are very useful in number of application in each and every field to find the exact optimum solutions. The main focus of this work is based on the effect of  optimization tools approach  on simplex  , dual simplex and graphical method of linear programming of optimization technique and comparison of tabular methods  to find the best solution for same problem. Linear programming plays an important role in our lives. In this, an approach is presented to solve LPP by considering the optimization tool of MATLAB and compare it with tabular methods of LPP.  The complexity reduction is done by eliminating the large number of steps. By using proposed technique, the calculation part has been completely avoided and we can achieve the results in considerable duration ..

By using optimization tool in MATLAB used for LPP, reduced to form of Linear programming (LP) problem.  So practically, for large number of constraints & variables, it is not possible to solve these problems by tabular method.. It takes more computation time & iterations.. By using proposed technique, we can achieve the results in considerable duration & exact optimum solution and also from the tabular calculations  , we can find the best  tabular optimization method to find the optimum solution.