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针对社会生活中的资源合理分配问题,利用数理统计中的x~2拟合优度检验法,建立了席位公平合理分配的数学模型,讨论了公平分配标准的若干条性质,证明了分配方法满足多条理想化公理,并给出了不违反公平分摊性公理的充分条件.仿真实验与多种分配方法进行了比较,结果显示了该方法的合理性和可操作性.提出的标准量可用于多种资源的合理分配问题.
Aiming at the problem of rational distribution of resources in social life, mathematical model of fair and reasonable distribution of seats is set up by using the goodness-of-fit test of x ~ 2 in mathematical statistics. Several properties of fair distribution standard are discussed. It is proved that the distribution method satisfies A number of ideal axioms are given, and sufficient conditions are not violated, which are not in violation of fair axioms.The simulation experiments are compared with a variety of distribution methods and the results show the rationality and operability of the method.The proposed standard can be used in Reasonable allocation of resources.