平面上端点受约束的一种随机点配线  

Problem on Fitting a Line with Ends Restrained by Known Segments According to Plane Stochastic Points and Its Formula Algorithm

作　　者：张新育[1] 李展[1] 周世国[1] 

机构地区：[1]郑州大学数学系,河南郑州450001

出　　处：《数学的实践与认识》2011年第4期85-89,共5页Mathematics in Practice and Theory

基　　金：国家自然科学基金(10171010)

摘　　要：对于平面上有限个随机点,推导了配一条端点受直线段约束的直线的最优选址的公式算法.其中目标函数是加权距离平方和的数学期望.According to n（n≥1）） stochastic points in a same plane,we present in this paper a formula algorithm to fit a suitable line with its ends restrained by two known segments. Our objective function is the expectation of weighted square sum of distances.

关 键 词：平面随机点 配直线 选址问题 

分 类 号：O221.5[理学—运筹学与控制论]