Quantitative indicators to measure fairness:
P 1/n 1=p2/n2. At this time, it is fair to AB.
p 1/n 1 & gt; P2/n2. At this time, it is unfair to A, because for A, the proportion of people corresponding to each seat is larger.
/* Situation 1 */
p 1= 150,n 1= 10,p 1/n 1 = 15p 2 = 100,n2= 10,p2/n2= 10
/* Situation 2 */
p 1= 1050,n 1= 10,p 1/n 1 = 105 p2 = 1000,n2= 10,p2/n2= 100
The evaluation models in mathematical modeling are:
1, analytic hierarchy process, constructing a pairwise comparison judgment matrix, calculating the relative weights of elements under a single criterion, performing consistency check, and calculating the total ranking weights of elements of each layer to the target layer;
2. Grey relational analysis system;
3.DEA evaluation system, ratio model, super-efficiency model, linear programming model and super-efficiency multi-level ranking model;
4. Fuzzy mathematics evaluation model.
Mathematical modeling is to establish a mathematical model according to actual problems, solve the mathematical model, and then solve the actual problems according to the results. When it is necessary to analyze and study a practical problem from a quantitative point of view, people should use mathematical symbols and language to establish a mathematical model on the basis of in-depth investigation, understanding of object information, making simplified assumptions and analyzing internal laws.