頁籤選單縮合
題名 | 最小化影響值的循環賽賽程表=Minimizing the Carry-over Effects in a Round Robin Tournament Schedule |
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作者 | 蔡宗憲; | 書刊名 | 嘉大體育健康休閒 |
卷期 | 14:3 2015.12[民104.12] |
頁次 | 頁151-162 |
分類號 | 528.928 |
關鍵詞 | 單循環賽; 對戰組合; 影響值; Single round-robin tournament; Pairs; Carry-over effect; |
語文 | 中文(Chinese) |
中文摘要 | 研究將偶數分類為2的平方和非2平方為例,探討單循環賽制的排程問題,目標是求得最低影響值(carry-over effect)產出最佳賽程表。利用矩陣,伽羅瓦體(Galois field)等數學公式可迅速求解且能驗證是否為最佳解。研究產出的賽程規劃各隊出賽間隔的場次相同,可使彼此間相互的影響最小。結果顯示研究所採用的模式可以有效率的解決循環賽排程問題。 |
英文摘要 | The purpose of this paper is to create the round-robin tournament schedules with minimum carry-over effects value. Diagonal symmetric matrix and Galois field are adopted to generate the optimal solutions for the schedules of N ( even numbers either power of 2 or not ) teams. The proposed schedules are reasonably fair to each team, since games are assigned to specific time with minimum carry-over effects value. Results imply that the approach achieves feasible solutions efficiently for the problem of round-robin tournament schedule. |
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