| 卫星舱三维布局优化模型及判断不干涉性算法 |
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| 引用本文： | 张旭,冯恩民.卫星舱三维布局优化模型及判断不干涉性算法[J].运筹与管理,2004,13(3):15-19. |
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| 作者姓名： | 张旭 冯恩民 |
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| 作者单位： | 大连理工大学,应用数学系,辽宁,大连,116023 |
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| 基金项目： | 国家自然科学基金资助项目(19871009) |
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| 摘 要： | 本以人造卫星仪器舱布局问题为背景。建立了在抛物圆柱体空间中带性能约束的长方体群的布局优化模型。分析模型中不干涉性约束的性质，利用凸集分离定理给出了等价的显式表达式，并构造了判断不干涉性的算法。
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| 关 键 词： | 运筹学 三维布局优化 凸集分离定理不干涉性算法 |
| 文章编号： | 1007-3221(2004)03-0015-05 |
| 修稿时间： | 2003年9月19日 |
Three-dimensional Layout Optimization Model about the Artificia l Satellite Module and the Algorithm for Non-overlap Constraints |
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| ZHANG Xu,FENG En-min.Three-dimensional Layout Optimization Model about the Artificia l Satellite Module and the Algorithm for Non-overlap Constraints[J].Operations Research and Management Science,2004,13(3):15-19. |
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| Authors: | ZHANG Xu FENG En-min |
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| Abstract: | This paper studies the layout problem of the cuboid group with performance constraints in the parabolic cylindrical space, which is based on the layout problem about the artificial satelite module. An optimization model with performance constraints is presented. We analyze the properties of non-overlap constraints and present the computable formulation which is equal to the original formulation. An algorithm for non-overlap constraints is constructed. |
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| Keywords: | operational research three-dimensional layout optimization problem separation of convex sets non-overlap algorithm |
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