Harmony Element Algorithm

Harmony Element Algorithm A Graphycal User Interface

we propose a new global optimization algorithm based on a harmony search scheme, termed as harmony element string algorithm (abbreviated as HEA). The algorithm has five fundamental features: (1) The states of the system is represented by strings of elements {0,1,2,3,4} and hence the search of the optimal state(s) is realized by string manipulations; (2) A weighting system is created for a balanced global and local search to avoid the scheme trapping in local optimum; (3) The string operation is a pseudo-linear transformation such that the searching the optimum of a nonlinear multivariate objective function is essentially linear; (4) HEA is naïve in its initial searching range setting; (5) The global maximum and minimum are searched simultaneously. The efficiency of algorithm is competitive not only the variate of objective function is low-dimensional but also high-dimensional. Three examples are given for illustrating the advantages of algorithm.