A deliraitative and combinatorial algorithm for discrete optimum design with different discrete sets

Abstract

The sequential delimitative and combinatorial algorithm for optimum design of structure with discrete variables is popularized to the optimum design, in which, the number of elements of the allowable discrete set of design variables is the same, but the allowable discrete sets of design variables are different. Firstly, the optimal problem is converted into several sequential sub-problems with lower dimensions and similar structures by recurrent method. Secondly, the algorithm generates all combinations according to a certain order of the magnitude of objective function by using a multi-level generating method of proceeding for higher place. In the procedure of delimiting, the objective function and constraint functions are converted into new functions by the linear transforms. And, these new functions are used to delimit. © Springer-Verlag 2004.