| 具有性能约束几何布局优化模型的研究 |
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| 引用本文： | 陈国庆,滕弘飞.具有性能约束几何布局优化模型的研究[J].大连理工大学学报,1992,32(4):378-384. |
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| 作者姓名： | 陈国庆 滕弘飞 |
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| 作者单位： | 内蒙古大学数学系
(陈国庆)，大连理工大学应用数学系
(冯恩民)，大连理工大学机械工程系(滕弘飞) |
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| 摘 要： | 建立了带性能约束圆域内几何布局优化问题的各种数学模型，其中图元 可为圆形、三角形及任意连通的二维几何图形。通过引入模函数与广义距离 函数等概念，详细论述了此类几何布局问题可转化为含有Ｄ．Ｃ．约束的凸规 划问题，从而为进一步研究几何布局优化问题的最优性条件、优化算法等奠 定了数学基础。
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| 关 键 词： | 几何布局 优化模型 约束规划 |
On optimal models of geometric layout with behavioural constraints |
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| Chen Guoqing,Feng Enmin.On optimal models of geometric layout with behavioural constraints[J].Journal of Dalian University of Technology,1992,32(4):378-384. |
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| Authors: | Chen Guoqing Feng Enmin |
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| Abstract: | This paper aims at establishing mathematical models for the problems of geometric layout with behavioural constraints over various 2-dimensional connected regions. It is shown that this kind of layout problem may be reduced, via the introduced concepts such as norm function and generalized distance function, to a convex programming with D. C. constraints. This approach provides a mathematical reasoning to the discussion of the geometrit layout problem, optimal conditions and optimization methods. |
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| Keywords: | constrained programming convex programming establishing model allocation/geometric layout |
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