籃球比賽的排名方案
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(yīng)滿足的幾個(gè)要求 4
2.3競(jìng)賽圖法 5
2.3.1有向路問(wèn)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(jié)果的分析和檢驗(yàn) 10
3.1模型的檢驗(yàn) 12
3.2結(jié)果分析 14
4 模型的優(yōu)缺點(diǎn) 16
參考文獻(xiàn) 17
致謝 18
摘要
隨著籃球運(yùn)動(dòng)在全球范圍內(nèi)的推廣和普及，籃球隊(duì)排名已成為1熱點(diǎn)問(wèn)題并受到越來(lái)越多的關(guān)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(duì)的穩(wěn)定狀態(tài)等等。故比賽的最終排名具有1定的偶然性�，F(xiàn)行的.籃球比賽排名不能最真實(shí)，最客觀的反映各支參賽隊(duì)伍的實(shí)力排名。鑒于此，我們有必要建立1支模型來(lái)評(píng)價(jià)比賽的公平性和合理性。本文分別采用競(jìng)賽圖法和離散模型給出籃球比賽的實(shí)力排序,結(jié)合2004年雅典奧運(yùn)會(huì)籃球比賽和2005-2006年中國(guó)籃球職業(yè)聯(lián)賽（CBA）的比賽數(shù)據(jù)，比較了兩種算法的合理性。結(jié)果表明通過(guò)離散模型的3個(gè)步驟，能逐步改進(jìn)模型的構(gòu)造使其趨于完善，使籃球隊(duì)排名這熱點(diǎn)問(wèn)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(zhǔn)則（即看賽制名次與實(shí)力的吻合程度）。
關(guān)鍵詞
籃球比賽； 模型； 排名； 實(shí)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 Olymhttps://p.9136.com/28pared 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.
Keyword
basketball match; model; place in a competition; strength analyse
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