基于排队论的多通道防空武器系统作战效能研究

Research on Operational Effectiveness of Multichannel Weapon System for Air Defense Based on Queuing Theory

对于由多个同类型的单通道火力单元组成的防空武器系统,运用排队理论建立了防空武器系统作战效能分析模型。将对空作战过程视为具有两个服务阶段的先到先服务的排队系统,并将空袭目标持续入侵视为泊松到达。在作战过程中,只有空闲的火力通道才能对入侵的空袭目标进行服务,一旦目标在通过防空区的过程中未被服务或未被击中则突防成功。基于作战想定和计算分析,研究了防空武器系统的作战效能,为辅助作战指挥决策,优化火力单元配置等提供了一定的参考依据。

For an air-defense weapon system that consists of multiple single-channel fire units of same type,queuing theory is used to establish an operational effectiveness analysis model. The air combat process can be viewed as an FCFS（ first come first served） queuing system with two service stages. The continuous intrusion stream of air-raid targets is considered as Poisson. During the operational process,only the idle fire channels are allowed to serve the intruded air-raid targets. If a target is neither served nor hit when flying across the air defense region,then it penetrations successfully. Based on the calculation and analysis of the scenario,the operational effectiveness of the air-defense weapon system is studied,which may be good references for aiding decision-making for commanders and configuration optimization of fire units.