复杂网状排队系统的模拟研究  

Stochastic Simulation of Complex Network Queuing System

作　　者：卢一强 李锋 LU Yi-qiang;LI Feng(PLA Strategic Support Force Information Engineering University,Zhengzhou 450001,China;School of Mathematics and Statistics,Zhengzhou University,Zhengzhou 450002,China)

机构地区：[1]战略支援部队信息工程大学,河南郑州450001 [2]郑州大学数学与统计学院,河南郑州450002

出　　处：《数学的实践与认识》2022年第8期137-145,共9页Mathematics in Practice and Theory

基　　金：国家自然科学基金(U1404104,61672031)。

摘　　要：在详细分析网状排队系统特点的基础上,给出了该排队系统的模拟仿真算法,并通过模拟例子,研究了串联、最少人数选择和具有反馈的排队网络等不同情形下网状排队模型的队长、等待时间、停留时间、忙期等各种排队指标的统计特性.所得到的算法设计和统计分析具有灵活性和普遍性,为分析和评价网状排队服务系统提供了一个有力的工具.On the basis of analyzing the characteristics of network queuing system in detail,this paper presents the simulation algorithm,and obtains the statistical characteristics of the network queuing model such as queue length,waiting time,residence time and duration and so on,under different conditions that service stations are selected according to the prescribed order,least number of customers and queuing network with feedback.The proposed simulation algorithm and statistical analysis areflexible and universal,which provides a powerful tool for the analysis and evaluation of network queuing system.

关 键 词：网状排队系统 随机模拟 事件调度法 排队论指标 

分 类 号：O226[理学—运筹学与控制论]