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馬可夫鏈於職業棒球棒次決策之應用

Application of Markov Chain on the Batting Order of Professional Baseball

摘要


本文旨在應用馬可夫鏈開發決策支援系統,結合職棒歷史記錄之統計資料,根據資料建立每位球員的遞移矩陣,當球賽開始於第一局無人出局無人在壘的情況之下,因棒次排列方式的不同,經過遞移矩陣運算後,探討九局比賽的球隊得分分佈機率。本系統模擬計算的結果可與中華職棒大聯盟球賽記錄比較,以歷史資料驗証理論與系統計算結果的正確性。

並列摘要


This study applies Markov chain method on developing a decision support system, which first combines the historical records of professional baseball and sets up the transition matrix for each player based on the statistics, and then the transition matrix for nine batters in a given order determines the run distribution produced by this lineup. The results of this decision support system can be used to compare with the ball game records of Chinese Professional Baseball League and the historical data can be used to verify the accuracy of the estimation of this decision support system.

參考文獻


Anderson, T.,Sharp, G.(1997).A new measure of baseball batters using DEA.Annals of Operations Research.73,141-155.
Bickel, J. E.(2004).Teaching decision making with baseball examples.INFORMS Transactions on Education.5(1),2-9.
Bukiet, B.,Harold, E. R.,Palacios, J.(1994).A Markov chain approach to baseball.Operations Research.45(1),14-23.
Gray, R.(2002).Behavior of college baseball players in a virtual batting task.Journal of Experimental Psychology, Human Perception and Performance.28(5),1131-1148.
Gray, R.(2002)."Markov at the bat": A model of cognitive processing in baseball batters.Psychological Science.13(6),543-548.

被引用紀錄


張舉哲(2011)。建構以馬可夫理論分析消費行為之管理決策支援系統-以某藥局為例〔碩士論文,元智大學〕。華藝線上圖書館。https://doi.org/10.6838/YZU.2011.00139
楊長豪(2009)。由實證醫學到以價值為基礎之醫學:應用成本-效用分析於眼科疾病之研究〔碩士論文,國立臺灣大學〕。華藝線上圖書館。https://doi.org/10.6342/NTU.2009.10433

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