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| Multi-objective layout optimization of a satellite module using the Wang-Landau sampling method with local search |
| Jing-fa Liu, Liang Hao, Gang Li, Yu Xue, Zhao-xia Liu, Juan Huang |
| Jiangsu Engineering Center of Network Monitoring, Nanjing University of Information Science & Technology, Nanjing 210044, China; School of Computer & Software, Nanjing University of Information Science & Technology, Nanjing 210044, China; School of Mathematics and Statistics, Nanjing University of Information Science & Technology, Nanjing 210044, China; Office of Informationization Construction and Management, Nanjing University of Information Science & Technology, Nanjing 210044, China |
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Abstract The layout design of satellite modules is considered to be NP-hard. It is not only a complex coupled system design problem but also a special multi-objective optimization problem. The greatest challenge in solving this problem is that the function to be optimized is characterized by a multitude of local minima separated by high-energy barriers. The Wang-Landau (WL) sampling method, which is an improved Monte Carlo method, has been successfully applied to solve many optimization problems. In this paper we use the WL sampling method to optimize the layout of a satellite module. To accelerate the search for a global optimal layout, local search (LS) based on the gradient method is executed once the Monte-Carlo sweep produces a new layout. By combining the WL sampling algorithm, the LS method, and heuristic layout update strategies, a hybrid method called WL-LS is proposed to obtain a final layout scheme. Furthermore, to improve significantly the efficiency of the algorithm, we propose an accurate and fast computational method for the overlapping depth between two objects (such as two rectangular objects, two circular objects, or a rectangular object and a circular object) embedding each other. The rectangular objects are placed orthogonally. We test two instances using first 51 and then 53 objects. For both instances, the proposed WL-LS algorithm outperforms methods in the literature. Numerical results show that the WL-LS algorithm is an effective method for layout optimization of satellite modules.
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Received: 06 September 2015
Published: 06 June 2016
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求解多目标卫星舱布局优化问题的带局部搜索的Wang-Landau抽样算法
目的：成功的卫星舱布局设计不仅可以有效降低卫星舱的发射成本与建造成本，而且可以提高其承载能力、使用寿命及稳定性。本文研究成果理论上可望推广应用于具有不同布局空间和考虑其他设计目标、约束条件的布局设计问题，有助于推进航天器布局设计理论的研究。在算法实践上期望有助于人造卫星仪器舱布局设计问题实用化方法与技术的研究和应用，并可望推广应用于其它复杂航天器布局设计领域。
创新点：将Wang-Landau随机抽样算法和基于梯度法的局部搜索算法相结合，并引入一些启发式布局更新策略，提出了一种新的混合算法。实验结果表明该算法可以有效解决多目标卫星舱组件布局优化问题。
方法：借鉴罚函数思想把带约束的优化问题转化为不带约束的优化问题；采用二分法找到卫星舱的最小半径；提出快速干涉量计算方法；通过结合Wang-Landau抽样算法，基于梯度法的局部搜索算法和启发式布局更新策略构建了一种混合算法（WL-LS）。
结论：通过结合Wang-Landau抽样算法、局部搜索算法和启发式布局更新策略，所提出的混合算法在实验结果上优于现有的最好算法，是一种求解多目标卫星舱布局优化问题的有效算法。
关键词：
装填问题,
布局设计,
卫星舱,
Wang-Landau抽样算法
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