| 一类输水线路的最佳布线问题 |
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| 引用本文： | 张守田,于振安. 一类输水线路的最佳布线问题[J]. 洛阳大学学报, 2002, 17(2): 21-23 |
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| 作者姓名： | 张守田 于振安 |
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| 作者单位： | 1. 潍坊学院,数学系,山东,潍坊,261043
2. 洛阳市第二十四中学,河南,洛阳,471002 |
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| 摘 要： | 主要解决了如下问题 :对于从河流L取水并输送到L同岸的两个用水点A、B的输水工程 ,当修建各段输水管道的耗资系数分别为k1 ,k2 ,k3时 ,如何确定抽水点P及分水点O才能使加权和值W =k1 OA k2 OB k3OP为最小 .
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| 关 键 词： | 加权和值 选佳区域 最佳点 正数k1、k2(k1 k2>1)的定值点 相似三角形 |
| 文章编号： | 1007-113X(2002)02-0021-03 |
| 修稿时间： | 2002-03-05 |
Issue of Best Way for Laying Pipes of First Rate Water Supplies Systems |
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| ZHANG Shou tian ,YU Zhen an. Issue of Best Way for Laying Pipes of First Rate Water Supplies Systems[J]. Journal of Luoyang University, 2002, 17(2): 21-23 |
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| Authors: | ZHANG Shou tian YU Zhen an |
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| Affiliation: | ZHANG Shou tian 1,YU Zhen an 2 |
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| Abstract: | This paper mainly solves the following problems: The water supply project of pumping water from river L and transforming it to the same bank of L where there are two water consuming points marked A and B; when constructing the separate sections of the water supply pipes that cause money expenditure with the rates of k 1, k 2, k 3, we should determine how to locate the pumping position P and water distribution point O so as to minimize the value of weighted sum W=k 1OA k 2OB k 3OP. |
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| Keywords: | weighted sum value the best seleted region the best point the point of definite value of the positive number k 1 k 2 (k 1 k 2>1) similar triangle |
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