At the beginning of the evolution,PSO can search global area and find the local range quickly,and then,complex method would locate the extremum in the local range rapidly.

In order to avoid odd solution resulted from additions and deletions of units and nodes in the process of topology optimization,one kind of heuristic mean for producing the topology-structure shape is proposed,and hybrid genetic algorithm(complex genetic algorithm) is used to process cross-section optimization.

Investigation on improvement and application of complex method for discrete variables;

Optimization of gravity revetment of inland waterways by complex method;

The diverse complex method based on the maximum quasi-gradient and its application to the slope stability analysis;

Optimum design of engineering structure based on mixed-discrete complex shape method;

Hybrid Multi-objective Genetic Algorithm Based on Complex Shape Method;

A solution method of optimization problems with mixed constraints in a definite domain with freak is presented and discussed by means of combination of both complex shape method and the elimina- tion, the feasibility of this method is demonstrated, corresponding algorithm and program flow chart are given, and the convergence of the method is tested by an illustration.

The optimal design parameters are the position of struts, the depth of every excavation step as well as the size of ring beam, which are solved by the complex method based on the minimum pile deformation and optimization strategy presented in the paper.

The optimal design parameters are position of each strut and depth of each excavation, which are solved by the complex method based .