A TWO DIMENSIONAL APPROACH FOR FINDING APPROXIMATED SOLUTIONS OF OPTIMIZATION PROBLEMS.
- Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt.
- Department of Basic Science, Higher Technological Institute (H.T.I) 10th of Ramadan City, Engineering Division, Egypt
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The problem of finding the minimum value of objective function appears in many fields such as mathematical programming, economics, engineering and others. In this paper, a two-dimensional approach for finding solutions of optimization problems is introduced. The proposed algorithm shows how to obtain a new point and a new direction in the feasible region, improving the process of solution depending on choosing three initial points from the feasible region without any conditions. The convergence of the proposed algorithm is discussed, and illustrative examples are presented.
[E.A.Youness, M.A.Maaty and H.A.Eldidamony (2016); A TWO DIMENSIONAL APPROACH FOR FINDING APPROXIMATED SOLUTIONS OF OPTIMIZATION PROBLEMS. Int. J. of Adv. Res. 4 (Feb). 1083-1090] (ISSN 2320-5407). www.journalijar.com
