弹道导弹防御M/M/N排队系统建模与仿真

Modeling and Simulation of Missile Defense M/M/N Queueing System

为了模拟弹道导弹防御过程和研究反导系统防御效能,进行了导弹防御M/M/N排队系统建模与仿真研究。给出排队系统建模框架,阐述了相关参数的含义和分布,针对小防御纵深和大防御纵深分别建立了M/M/N/N和M/M/N/C排队模型,模型具体区分了单目标通道和多目标通道两种情况,基于等效替换法给出了反导系统有多个类型时的处理方法,仿真实例具体分析和验证了排队模型的主要功能和有效性。研究成果可以辅助对反导系统运行情况进行掌握和规律总结,为防御决策提供优化配置建议。

To simulate the process of ballistic missile defense and to study the effectiveness of defense, the M/M/N queueing system of missile defense was modeled and simulated. A queueing modeling framework was given to explain the meaning and distribution of related parameters. The M/M/N/N and M/M/N/C queueing models were proposed for short defense depth and long defense depth respectively, and the single target channel and the multiple target channels were distinguished in each model. How to deal with the different types of missile defense system based on equivalent replacement method were also considered. Simulation examples verified the main functions and the effectiveness of proposed queueing model which is helpful to understand the rules of missile defense process, and to provide optimal configuration suggestions for defense decision-making.