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赛程编排模型
引用本文:汪元伦,尹华玉,张秦楼,曾昌琼.赛程编排模型[J].绵阳师范学院学报,2003,22(5):13-17.
作者姓名:汪元伦  尹华玉  张秦楼  曾昌琼
作者单位:绵阳师范学院数学与信息科学系,四川,绵阳,621000
基金项目:该文获2002年建模竞赛国家级二等奖
摘    要:采用贝格尔赛程编排法编排赛程,并在其基础上进行改进,把参赛队总数n分成两种情况进行讨论:当n为奇数时,采用顺时针旋转法;当n为偶数时,采用逆时针旋转法,建立了一个为球队编排赛程的数学模型.它首先对刻画编排是否公平给出了具体定义,然后找到了一个较为合理的同一赛场单循环赛程编排法,同时给出了另一种衡量赛程编排优劣的指标.

关 键 词:贝格尔赛程编排法  单循环  数学模型
文章编号:1672-612x(2003)05-0013-05
修稿时间:2003年5月24日

A Mathematics Model for the Arrangement of Competition
Wang Yuan-lun,Yin Hua-yu,Zhang Qin-lou,Zeng Chang-qiong.A Mathematics Model for the Arrangement of Competition[J].Journal of Mianyang Normal University,2003,22(5):13-17.
Authors:Wang Yuan-lun  Yin Hua-yu  Zhang Qin-lou  Zeng Chang-qiong
Abstract:Improving the competition process arranged by the employment of Begol Arrangement; discussing with the total teams of competitors ' n' divided into two cases: while ' n' is in odd number, a clockwise round is employed; while 'n' is in even number, a counter-clockwise round is employed; thus, a mathematics model for the arrangement of sports teams in the competition is set up. It gives out a concrete definition showing whether the arrangement is reasonable, and then a better arrangement for the single round robin at the same competition ground. Meanwhile, another guideline to determine the quality of the arrangement is also given.
Keywords:Begol Arrangement  single round robin  mathematics model  
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