血液分组化验问题二次分组化验法最佳分组方式的算法

The Algorithm of the Best Grouping with the Cecond Gouping Test in the Blood Goup Test

针对血液分组化验问题,进行了严密的数学分析和数学证明,给出了一次分组化验法最佳k_1值的简单精确计算方法;特别是通过对引理及定理3证明推导出二次分组化验法中每人平均化验次数计算公式;通过对定理4-5证明,总结出二次分组化验法最佳分组时k1和k2的计算方法.同时给出了二次分组化验法最佳分组时p与k_1和k_2对照表,以及一次分组化验法最佳分组时p与k_1对照表.

For the grouping test,it shows the simple and accurate algorithm of the best value＂k1＂in the first grouping test by the strict mathematical analysis and demonstration. Especially from the demonstration to the lemma and Theorem Three,we can derive the calculation formula of the average test number of everyone in the second grouping test.Through the demonstration to Theorem Four and Theorem Five,we can summarize the algorithm of the value＂k1＂and＂k2＂with the best grouping in the second grouping test.It shows the comparison table of the value＂p＂and the value＂k1＂and＂k2＂with the best grouping in the second grouping test and the comparison table of the value＂p＂and the value＂k1＂with the best grouping in the first grouping test.