篮球比赛的排名方案

目 录
摘要 1
1前言 3
2 模型的建立与求解 4
2.1篮球比赛的分析 4
2.2 模型应满足的几个要求 4
2.3竞赛图法 5
2.3.1有向路问题 5
2.3.2得分向量 6
2.4.列表分析法 7
2.4.1基本模型A 7
2.4.2平均积分模型B 8
2.4.3得分能力修正模型 8
3模型结果的分析和检验 10
3.1模型的检验 12
3.2结果分析 14
4 模型的优缺点 16
参考文献 17
致谢 18
摘要
   随着篮球运动在全球范围内的推广和普及，篮球队排名已成为1热点问题并受到越来越多的关注。但篮球排名受到诸多因素的影响，如赛制的安排，裁判的公正与否，球队的稳定状态等等。故比赛的最终排名具有1定的偶然性。现行的篮球比赛排名不能最真实，最客观的反映各支参赛队伍的实力排名。鉴于此，我们有必要建立1支模型来评价比赛的公平性和合理性。本文分别采用竞赛图法和离散模型给出篮球比赛的实力排序,结合2004年雅典奥运会篮球比赛和2005-2006年中国篮球职业联赛（CBA）的比赛数据，比较了两种算法的合理性。结果表明通过离散模型的3个步骤，能逐步改进模型的构造使其趋于完善，使篮球队排名这热点问题得到较好的解决，且该模型能作为赛制合理与否的判断准则（即看赛制名次与实力的吻合程度）。
关键词
篮球比赛； 模型； 排名； 实力分析
Abstract
Along with the basketball spreading and popularizing in the global range, the place of the basketball team in a competition becomes a hotspot issue, which gets more and more attention. If the athletic competition system arrangement, the referee is fair or not, teams steady state and so on. Therefore competes the finally place has the certain fortuitousness. The present basketball game places cannot be most real, most objective reflection each participation troops strength place. In view of this, we have the necessity to establish a model to appraise the competition fairness and the rationality.This paper separately uses the contest drawing method and the Scatter model to present the strength taxis of the basketball match, and discusses the rationality about the two kinds of arithmetic. Unifies in 2004 the Athens Olympic Games basketball game and 2005-2006 Chinese basketball professional league tournament (CBA) competition data, compared with two algorithms rationalities.Through the three steps of the scatter model, it can ameliorate the structure of the model step by step, and make it be perfect. At the same time, it makes the hotspot issue——the place of the basketball team in a competition become much more rational. （科教论文网 lw.nSeAc.com编辑发布）
Keyword
basketball match; model; place in a competition; strength analyse