Improving Karmarker Algorithm to Obtain Optimal Solution

Ahmad Khaldi

Mutah University, Faculty of Science, Jordan

Abstract

In this research, the Karmarker's method of linear programming was improved using the eigenvector of the starting point with all iterations.Where the improvement showed that Karmarker's method can be reduced in a theoretical way by direct method without iterations and access to the optimal solution. The procedure was also Comparison of the two methods and the results of the proposed method were faster and better to reach.

Keywords: Karmarker's algorithm; optimal solution; linear programming.