论文标题
最佳固定装置布局设计的凸松弛
Convex Relaxation for Optimal Fixture Layout Design
论文作者
论文摘要
本文提出了一个通用布局设计框架，该设计框架将系统方程与凸松弛方法直接整合在一起。请注意，最佳的固定装置设计问题是一个大规模组合优化问题，我们通过采用稀疏学习和SDP松弛技术来放松到凸半际编程（SDP）问题。可以通过现有的凸优化算法有效地求解，从而生成近乎最佳的固定装置布局。与当前的行业实践和最先进的方法相比，在半秒的机身组装过程中进行的真实案例研究表明，我们提出的算法的优势。
This paper proposes a general fixture layout design framework that directly integrates the system equation with the convex relaxation method. Note that the optimal fixture design problem is a large-scale combinatorial optimization problem, we relax it to a convex semidefinite programming (SDP) problem by adopting sparse learning and SDP relaxation techniques. It can be solved efficiently by existing convex optimization algorithms and thus generates a near-optimal fixture layout. A real case study in the half-to-half fuselage assembly process indicates the superiority of our proposed algorithm compared to the current industry practice and state-of-art methods.
