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An Optimization Algorithm for a Class of Mathematical Model in Mechanical Engineering

Journal Applied Mechanics and Materials (Volumes 26 - 28)
Volume Advanced Mechanical Engineering
Edited by Zhenyu Du and Bin Liu
Pages 813-816
DOI 10.4028/www.scientific.net/AMM.26-28.813
Citation Jing Ben Yin et al., 2010, Applied Mechanics and Materials, 26-28, 813
Online since June, 2010
Authors Jing Ben Yin, Jie Sheng Yan, Ying Feng Zhao, Hong Wei Jiao
Keywords Bound, Branch Algorithm, Linear Relaxation, Mathematical Model, Mechanical Engineering
Abstract

In this paper, we develop an algorithm to globally solve a class of mathematical models in system engineering. Firstly, by utilizing equivalent problem and linear relaxation method, a linear relaxation programming of original problem is established. Secondly, by using branch and bound technique, a determined branch and bound algorithm is proposed for globally solving original problem. Finally, the convergence of the proposed algorithm is given and numerical examples showed that the presented algorithm is feasible.

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