目 錄
摘要 1
1前言 3
2 模型的建立與求解 4
2.1籃球比賽的分析 4
2.2 模型應滿足的幾個要求 4
2.3競賽圖法 5
2.3.1有向路問題 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平均積分模型B 8
2.4.3得分能力修正模型 8
3模型結果的分析和檢驗 10
3.1模型的檢驗 12
3.2結果分析 14
4 模型的優缺點 16
參考文獻 17
致謝 18
摘要
隨著籃球運動在全球範圍內的推廣和普及，籃球隊排名已成為1熱點問題並受到越來越多的關注。但籃球排名受到諸多因素的影響，如賽制的安排，裁判的公正與否，球隊的穩定狀態等等。故比賽的最終排名具有1定的偶然性。現行的.籃球比賽排名不能最真實，最客觀的反映各支參賽隊伍的實力排名。鑑於此，我們有必要建立1支模型來評價比賽的公平性和合理性。本文分別採用競賽圖法和離散模型給出籃球比賽的實力排序,結合2004年雅典奧運會籃球比賽和2005-2006年中國籃球職業聯賽（CBA）的比賽資料，比較了兩種演算法的合理性。結果表明通過離散模型的3個步驟，能逐步改進模型的構造使其趨於完善，使籃球隊排名這熱點問題得到較好的解決，且該模型能作為賽制合理與否的判斷準則（即看賽制名次與實力的吻合程度）。
關鍵詞
籃球比賽； 模型； 排名； 實力分析
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 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 Olym with two algorithms ugh 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.
Keyword
basketball match; model; place in a competition; strength analyse
