Title: Study on straightness error evaluation of spatial lines based on a hybrid ant colony algorithm

Authors: Ke Zhang; Xiangsheng Kong; Jianping Luo; Shengze Wang

Addresses: School of Mechanical Engineering, Shanghai Institute of Technology, Shanghai, China ' Department of Computer & Information Engineering, Xinxiang University, Xinxiang City, Henan Province, China ' School of Mechanical Engineering, Shanghai Institute of Technology, Shanghai, China ' College of Mechanical Engineering, Donghua University, Shanghai, China

Abstract: Based on the analysis of existing evaluation methods for straightness errors, an intelligent evaluation method for spatial straightness errors is provided in this paper. The evolutional optimum model and the calculation process are introduced in detail. According to characteristics of straightness error for spatial lines evaluation, an improved Ant Colony Optimisation (ACO) algorithm is proposed to evaluate the minimum zone error. Compared with conventional optimum evaluation methods such as Simplex search and Powell method, it can find the global optimal solution and the precision of calculating result is very high. Then, the objective function calculation approaches for using the ACO to evaluate minimum zone error are formulated. Finally, the control experiment results evaluated by different optimal methods such as the Least Square, Simplex search, Powell search and Genetic Algorithm, indicate that the proposed method does provide better accuracy on spatial straightness error evaluation and it has fast convergent speed as well as using computer.

Keywords: spatial lines; straightness errors; ACO algorithm; error evaluation; ant colony optimisation.

DOI: 10.1504/IJWMC.2015.069390

International Journal of Wireless and Mobile Computing, 2015 Vol.8 No.3, pp.277 - 284

Received: 28 Jul 2014
Accepted: 03 Sep 2014
Published online: 14 May 2015 *

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