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In this paper, a new unidimensional search scheme called Identric mean (IM) scheme is proposed. Numerical results on five test functions show that the proposed IM method is superior to the existing RMS method in the literature.
The application of Fourier variable elimination method for solving Linear programming problems generates additional and redundant constraints in each step. Even after using Kohler’s rule to eliminate redundant constraints, some of the constraints generated are still redundant. In this paper, we present modified method of Fourier for solving Linear programming problems. In the modified method, the...
In this paper, we develop three new and efficient unidimensional direct search schemes based on weighted arithmetic mean, weighted geometric mean and weighted harmonic mean in solving Optimization problems. We test the performance of these algorithms on a set of standard unidimensional test functions to ascertain their superiority reliability and efficiency, by comparing these three methods with the...
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