一类输水线路的最佳布线问题  

Issue of Best Way for Laying Pipes of First Rate Water Supplies Systems

作　　者：张守田[1] 于振安 

机构地区：[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

出　　处：《洛阳大学学报》2002年第2期21-23,共3页Journal of Luoyang University

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 .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.

关 键 词：输水线路 最佳布线问题 加权和值 选佳区域 最佳点 相似三角形 抽水点 分水点 

分 类 号：O224[理学—运筹学与控制论]