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Research on the Max Entropy Structure Optimization Algorithm Based on Parameters Self Adjustment

Author: RaoYuCheng
Tutor: HuoDa
School: Beijing University of Technology
Course: Disaster prevention, mitigation and protection works
Keywords: Principle of maximum entropy Parameter adaptive Sensitivity Analysis Agent objective evaluation The method of restricted
CLC: O224
Type: Master's thesis
Year: 2003
Downloads: 165
Quote: 1
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Abstract


To information theory, the principle of maximum entropy, focusing on a new type of structure optimization algorithm, proposed in the improvement of the previous similar algorithms based on the view of the control parameters adaptive, and broaden the scope of application of the concept of the original proxy the system completely based on maximum entropy structure optimization theory and methods. The main contents are as follows: a comprehensive and detailed description of the application of maximum entropy method in structural optimization. The basic theory of maximum entropy, the highlight of the status quo in order to the Professor Li Xingsi represented by scholars in the study of the structure to optimize the maximum entropy method and the latest achievements; in processing discrete variables, highlight additional constraints Professor Hoda The method of research. These pioneering research constitutes the background and the basis of the work of this study. For relaxation parameters selection in-depth study on the basis of the maximum entropy method based parameter adaptive MEMP method. This method differs from the traditional manual debugging and only experience parameter selection method, since without undue calculation agent coefficient depends on the frequent adjustment, whether the problem can be solved at the same time gives a certain judgment, to avoid some of the problems itself caused by the poor conditions of artificial debug failures. It can be automatically adapted according to the results of the iteration the determination calculation state merits adjustment, forcing iterator to return to the normal track up. It is precisely because of this characteristic, MEMP algorithm with a certain degree of intelligence. The traditional size optimization model is derived on the level of a first-order approximation, this method is no longer based on common pan-static determinate assumptions but from the perspective of the Taylor approximation, mathematical rigorous proof of the Pan static determinate The model with a first-order accuracy. In the KS function iteration simplified form the basis for further broaden the concept of the \This article the MEMP algorithms and MOP algorithm based on two-step algorithm to optimize the shape of the truss structure, the the algorithms two steps are built above the maximum entropy method, no other optimization methods as auxiliary, such use The principle of maximum entropy unified treatment of the objective function and constraint functions is a comprehensive application of the maximum entropy method. In-depth research in the eighties, Professor Hoda additional constraints. Broaden the discrete constraints MEMP algorithm of discrete variables, and the promotion of its natural shape optimization and optimization of hybrid discrete variables. Finally completed research for this article summarizes the views of the authors, and the subject of further research directions and issues to be resolved.

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CLC: > Mathematical sciences and chemical > Mathematics > Operations Research > Optimization of the mathematical theory
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