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| 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 |
| KeyWord:UAV cluster queuing theory air defense weapons defense costs simulation analysis deployment optimization |
| Author | Institution |
| GAO Zhi-gang |
No.93196 Troops of PLA, Urumqi , China;Aeronautics Engineering College, Air Force Engineering University, Xi'an , China |
| LIU Yan-bin |
No.93196 Troops of PLA, Urumqi , China |
| CHEN Chang-yuan |
No.93196 Troops of PLA, Urumqi , China |
| FENG Yu |
Aeronautics Engineering College, Air Force Engineering University, Xi'an , China |
| ZHANG Yu-ze |
No.93196 Troops of PLA, Urumqi , China |
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| Abstract: |
| 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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