- 期刊
單項名次換算積分以決定總排名之數理解析
A Reasonable Solution to the Final Ranking Problem
並列摘要
The principles of competition are fairness and reasonableness. However the authorities in charge often set up the total score formulae according to their own experiences and instincts. What is the mathematical meaning of such formulae? Can the total scores reflect the competitors' abilities? How to re-rank the competitors when they have the same total score? A reasonable and simple scoring formula is derived and submitted in this paper. Some typical formulae in current use are also categorized and analyzed. There are only two parameters in the proposed formula, which are q and r respectively. Both the mathematical and the physical meaning of the two parameters are well-defined, so the authorities concerned can refer to establish the competition rules or use them directly with ease.
延伸閱讀
- 蘇耿賦、陳錦嫣（1997）。總排名問題中的積分換算公式探討。大專體育，(31)，65-71。https://doi.org/10.6162/SRR.1997.31.15
- 簡來成（1981）。原始方程式模式積分方法之探討。大氣科學，8(1)，19-25。https://www.airitilibrary.com/Article/Detail?DocID=02540002-198105-201404160007-201404160007-19-25
- 許高魁（2003）。加入亂數尾數對階梯狀分配原始測驗成績之常態評分研究。大專體育學術專刊，()，320-326。https://doi.org/10.6695/AUES.200306_92.0032
- Lin, C. H. (2011). Applications of zero forcing number to the minimum rank problem [master's thesis, National Taiwan University]. Airiti Library. https://doi.org/10.6342/NTU.2011.02039
- Leal, H. V., Khan, Y., Anaya, G. F., May, A. H., Reyes, A. S., Nino, U. F., Fernández, V. M. J., & Díaz, D. P. (2012). A General Solution for Troesch's Problem. Mathematical Problems in Engineering, 2012(), 1102-1115-069. https://doi.org/10.1155/2012/208375