| 平面上的min-max型点-线选址问题 |
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| 引用本文： | 尚松蒲,林诒勋. 平面上的min-max型点-线选址问题[J]. 运筹学学报, 2003, 7(3): 83-91 |
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| 作者姓名： | 尚松蒲 林诒勋 |
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| 作者单位： | 郑州大学数学系,郑州,450052 |
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| 摘 要： | 本文研究两类平面选址问题：(1)求一直线到n个给定点的最大加权距离为最小；(2)求一点到n条给定直线的最大加权距离为最小．对这两个非线性优化问题，我们给出最优解的刻划及迭代次数为多项式的算法．
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| 关 键 词： | min-max型 点-线选址问题 加权距离 非线性优化 组合问题 最优直线 最优点 多项式算法 |
| 修稿时间： | 2002-12-08 |
Point-Line Location Problems in the Plane with Min-Max Objectives |
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| SONGPU SHANG YIXUN LIN. Point-Line Location Problems in the Plane with Min-Max Objectives[J]. OR Transactions, 2003, 7(3): 83-91 |
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| Authors: | SONGPU SHANG YIXUN LIN |
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| Abstract: | This paper studies two point-line location problems in the plane as follows: (1) Determine a straight-line L to minimize the maximum weighted distances from n given points; (2) Determine a point X to minimize the maximum weighted distances from n given straight-lines. For these non-linear optimization problems, we present properties of optimal solutions and polynomial-time algorithms. |
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| Keywords: | location problem in the plane point-line distance min-max polynomial algorithms. |
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