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The Vector Model of Artificial Physics Optimization Algorithm for Global Optimization Problems

Liping Xie18, 19 Contact Information, Jianchao Zeng19 Contact Information and Zhuihua Cui19 Contact Information

(18)  College of Electrical and Information Engineering, Lanzhou University of Technology, Lanzhou, 730050, P.R. China
(19)  Complex System and Computational Intelligence Laboratory, Taiyuan University of Science and Technology, Taiyuan, shanxi, 030024, P.R.China
Abstract
To solve complex global optimization problems, Artificial Physics Optimization (APO) algorithm is presented based on Physicomimetics framework, which is a population-based stochastic algorithm inspired by physical force. The solutions (particles) sampled from the feasible region of the problems are treated as physical individuals. Each individual has a mass, position and velocity. The mass of each individual corresponds to a user-defined function of the value of an objective function to be optimized. Driven by virtual force, the individuals move towards others with bigger masses, which is an analogy of the particles flying towards the better fitness region. To easily analyze the algorithm, a vector model of APO algorithm is constructed. Based on the vector model, APO algorithm can performs well in diversity if some conditions can be satisfied.

Keywords  Physicomimetics - Artificial physics optimization - Global optimization - Virtual force - Newton’s Second law


Contact Information Liping Xie
Email: Xieliping1978@gmail.com

Contact Information Jianchao Zeng
Email: zengjianchao@263.net

Contact Information Zhuihua Cui
Email: cuizhihua@gmail.com
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