Some Improvements of Classical Optimization Methods

• 1、Department of Machine Design, School of Mechatronic Engineering, China University of Petroleum (East China), Dongying, PRC, (257061)

Abstract：According to the practice of teaching and researching, some arithmetic improvements of classical mechanism optimization method are proposed. The improvement of avoiding divided by zero is proposed for the iterative stop rule, Newton class methods, etc. The improvements of halving step to seek optimal direction and bidirectional seeking is proposed for the stochastic direction method. Introducing the blind-walking idea, the improvement of deciding boundary and seeking reflected point are proposed for the feasible direction method and the complex shape method respectively. The improvement of bidirectional advance-retreat method is proposed for the objective function with plain. The improvement of ensuring one golden section point included in feasible domain at least is proposed for the golden section method, which is applied to the constrained optimization problem. The improvement of predigesting computational module is proposed for the parabolic interpolation method.

Keywords： Mechanism Optimization Design, blind-walking idea, optimization method, arithmetic improvement, teaching practice