“Q值法”解决席位分配问题  

“Q Value”Method of Solving Seat Allocation Problem

作　　者：张晓彦[1] 

机构地区：[1]山西水利职业技术学院,山西运城044004

出　　处：《洛阳师范学院学报》2016年第8期28-30,共3页Journal of Luoyang Normal University

摘　　要：本文引入"Q值法",解决A、B、C三系分配11个学生代表席位的问题.首先按照比例分配法使A、B、C三系按整数部分分别分到2、3、4个代表席位,即n1=2,n2=3,n3=4,然后再用Q值法分配剩余的代表席位,通过Q值的计算、比较大小,确定把代表席位分给Q值最大的系,然后再重新计算各系变化以后的Q值,同样的方法依次分配.最终的学生代表席位分配为:A:3席,B:3席,C:5席.通过验证我们认为,"Q值法"解决席位分配问题是合理的.This paper focuses on the problem of seat allocation. This problem can be resolved by allocating seats firstly in relation to proportion of student representatives. When there are decimals, seats are first allocated to department whose proportion figure has bigger decimal part. However, this method is far from perfect. Q value method is introduced to solve the problem of allocating seats for 11 representatives from A, B, C departments. Firstly, proportion method is used to allocate seats by integer part to 2, 3, 4 representatives of A, B, C depart- ments, i.e. n1 = 2, n2 = 3, n3 = 4, and Q value method is used to allocate seats to the rest of the representatives. Based on the calculation of Q value and sorting, it is established to allocate seats to the department of the biggest Q value. Then the Q value is re-calculated based on the altered allocation distribution and this procedure is performed in turn. The final distribution is A： 3 seats; B： 3 seats; C： 5 seats. By verification, we argue that Q value method is an effective method to solve the seat allocation problem.

关 键 词：席位分配 相对不公平值 Q值法 

分 类 号：O29[理学—应用数学]