The Research On Algorithm Of Light Ray Optimization Based On Function Transformation

With the rapid development of science,and the continuous progress of the society,the problems encountered in scientific research and practical engineering are becoming more and more complicated,optimization problems are often encountered in the practice of production.In the process of solving the optimization problems,there are always some difficulties,such as the high dimension,the large amount of computation,time-consuming and complex process.Hence,traditional optimization algorithms are not available to meet the needs of people.Then some intelligent algorithms based on biological intelligence or natural phenomena have emerged.These algorithms are simple,robust and suitable for parallel computing.Therefore,many mathematical scholars and engineering experts turn their attention to the new area of the new intelligent optimization algorithm.Based on Fermat's principle,Professor Shen Jihong in 2007 first proposed Light Ray Optimization.It is a complete simulation of the propagation path of true light in different media.The feasible region is divided into a number of small rectangles.The algorithm assumes that the medium is uniform in the same rectangular grid,which is filled with the same refractive index of the medium each rectangular grid,and the path of finding the optimal solution is conceived as the actual light.In the optimization process,the adjustable parameters are few and the iteration rule is simple.This paper mainly completed the following work in two areas:1.Transform the objective function based on the natural exponential function.Firstly,prove the feasibility of this transform algorithm.Secondly,verify the theoretical derivation by the numerical experiment.Finally,prove the advantages of the transformation of the natural exponential function on the convergence of the objective function and the iteration speed.2.Transform the objective function based on the general exponential function.Numerical tests are also given to verify the advantages of the proposed method based on the iteration of the algorithm.And through the exponential function base change,it is proved that with the base increases,The LRO algorithm can get better convergence and iteration speed based on the general exponential function transformation.It is also proved that the base of exponential function in the transformation of the general exponential function has an upper limit.