A hybrid heuristic method for global optimization (original) (raw)

The problem of optimal design consists in finding the optimum parameters according to a prescribed optimality criterion. Existing optimization methods usually aren't reliable or can't use the nondifferentiable, not continuous objective functions or constraints. An interval global optimization method is: very stabile and robust and universally applicable. The interval algorithm guarantees that all stationary global solutions have been found. Unfortunately application of this algorithm is sometimes a very time consuming task. The best local optimization methods are the gradient methods. In this paper a hybrid gradient-interval global optimisation method is presented. This method has the best features of both methods i.e. fast local and reliable global convergence. In this paper this algorithm was applied to optimization of truss structures. Examples of optimization of truss structures with uncertain parameters was also presented.