| 高志刚,刘艳彬,陈长远,冯宇,张雨泽.基于排队论的反无人机集群武器部署优化方法[J].装备环境工程,2022,19(6):68-75. GAO Zhi-gang,LIU Yan-bin,CHEN Chang-yuan,FENG Yu,ZHANG Yu-ze.An Optimization Method for Anti-UAV Cluster Weapon Deployment Based on Queuing Theory[J].Equipment Environmental Engineering,2022,19(6):68-75. |
| 基于排队论的反无人机集群武器部署优化方法 |
| An Optimization Method for Anti-UAV Cluster Weapon Deployment Based on Queuing Theory |
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| DOI：10.7643/issn.1672-9242.2022.06.000 |
| 中文关键词: 无人机集群 排队论 防空武器 防御成本 仿真分析 部署优化中图分类号:TJ85 E833 文献标识码:A 文章编号:1672-9242(2022)06-0068-08 |
| 英文关键词:UAV cluster queuing theory air defense weapons defense costs simulation analysis deployment optimization |
| 基金项目:国家自然科学基金(51805538)；陕西省自然科学基础计划(2020JQ-476)；中国博士后科学基金(2020M683570/2021T140561) |
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| Author | Institution |
| GAO Zhi-gang | No.93196 Troops of PLA, Urumqi 841700, China;Aeronautics Engineering College, Air Force Engineering University, Xi'an 710038, China |
| LIU Yan-bin | No.93196 Troops of PLA, Urumqi 841700, China |
| CHEN Chang-yuan | No.93196 Troops of PLA, Urumqi 841700, China |
| FENG Yu | Aeronautics Engineering College, Air Force Engineering University, Xi'an 710038, China |
| ZHANG Yu-ze | No.93196 Troops of PLA, Urumqi 841700, China |
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| 中文摘要: |
| 目的 对多层防线中反无人机集群武器进行部署，得到同时满足来袭无人机集群指定突防概率条件下防空武器总数量最小化和拦截成本最低化的部署优化方法。方法 立足我国当前军事形势，采用效能分析中常用的排队论模型，将来袭无人机集群中的每个作战单元视为泊松流，对多层防线层层建模。将防空武器总数量和防御成本作为优化目标，提出了最小防空武器总数量的“理想区”模型和最低防御成本的“最优解”。结果 根据模型求解得到了无人机集群通过各层防线时的未被射击概率、最终突防概率和突防后密度，得到了满足指定突防概率为0.1的条件下，防空武器总数量最小和防御成本最低的组合。结论 在本文案例中，随着中程、近程防空武器数量的增加，无人机集群突防概率呈现出“前快后慢”的变化趋势，当远程、中程和近程防空武器数量分别为1、5、3套时，防空武器总数量最小，对单个来袭目标防御成本达到最低，为89.2万元，并且满足不大于0.1的来袭无人机集群突防概率要求。 |
| 英文摘要: |
| This paper aims to deploy anti UAV cluster weapons in multi-layer defense line, and obtain a deployment optimization method to minimize the total number of air defense weapons and the interception cost under the condition of meeting the specified penetration probability of incoming UAV cluster. Based on the current military situation in China, using the queuing theory model commonly used in efficiency analysis, each combat unit in the incoming UAV cluster is regarded as Poisson flow, and the multi-layer defense line is modeled layer by layer; Taking the total number of air defense weapons and defense cost as the optimization objectives, the “ideal area” model of minimum total number of air defense weapons and the “optimal solution” of minimum defense cost are proposed. The probability of not being shot, the final penetration probability and the density after penetration through each layer of defense are obtained based on the model solution; Under the condition that the specified penetration probability is 0.1, the combination of the minimum total number of air defense weapons and the lowest defense cost is obtained. In this case, with the increase of the number of medium-range and short-range air defense weapons, the penetration probability of UAV cluster shows a changing trend of “fast in front and slow in back”. When the number of long-range, medium-range and short-range air defense weapons is 1, 5 and 3 respectively, the total number of air defense weapons is the smallest and the defense cost against a single incoming target is the lowest, which is 892000 yuan, and meet the requirements of cluster penetration probability of incoming UAV not greater than 0.1. |
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