论文标题
人口增长作为排队系统的数学模型
A Mathematical Model of Population Growth as a Queuing System
论文作者
论文摘要
在本文中，提出了一种新的人口增长的新数学模型，该模型是一种无限数量的服务器和两种应用程序的自主非马尔科夫排队系统。对该系统的研究进行了虚拟相法和一种修改的方法，用于针对随机年龄在时间t中使用的许多应用的随机年龄特异性密度进行渐近分析，并证明了渐近分布是高斯。发现该分布的主要概率特征。其研究的数学模型及其方法可以应用于单个国家和世界各地人口增长的分析。
In this article, a new mathematical model of human population growth as an autonomous non-Markov queuing system with an unlimited number of servers and two types of applications is proposed. The research of this system was carried out a virtual phase method and a modified method of asymptotic analysis of a stochastic age-specific density for a number of applications served in the system at time t and was proofed that the asymptotic distribution is Gaussian. The main probabilistic characteristics of this distribution are found. The mathematical model and methods of its research can be applied to the analysis of the population growth both in a single country and around the world.
