陆军工程大学石家庄校区 装备指挥与管理系, 河北 石家庄 050003
*邮箱: sxm@nudt.edu.cn
收稿:2022-06-05,
网络首发:2023-12-15,
纸质出版:2023-10-30
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刘昊邦, 史宪铭, 郝冰, 等. 基于多项分布的弹药多批次试验命中概率估计[J]. 兵工学报, 2023,44(10):3156-3164.
Haobang LIU, Xianming SHI, Bing HAO, et al. Estimation of Ammunition Hit Probability in Multiple-Batch Tests Using Multinomial Distribution[J]. Acta Armamentarii, 2023, 44(10): 3156-3164.
刘昊邦, 史宪铭, 郝冰, 等. 基于多项分布的弹药多批次试验命中概率估计[J]. 兵工学报, 2023,44(10):3156-3164. DOI: 10.12382/bgxb.2022.0490.
Haobang LIU, Xianming SHI, Bing HAO, et al. Estimation of Ammunition Hit Probability in Multiple-Batch Tests Using Multinomial Distribution[J]. Acta Armamentarii, 2023, 44(10): 3156-3164. DOI: 10.12382/bgxb.2022.0490.
弹药命中概率试验通常分多个批次进行
某一批次试验结束后会对弹药物理性能进行改进
各批次试验命中概率呈现动态变化特点。每批次试验前会获取到该批次弹药命中概率仿真实验信息
充分利用各批次射击试验信息与仿真实验信息是弹药命中概率估计的重点。考虑到弹药命中目标不同区域造成的毁伤程度不同
对原有二项分布命中概率试验进行改进
改用多项分布进行描述。引入体系贡献度衡量各批次试验对弹药命中概率估计的影响程度
并结合贝叶斯方法对各批次试验信息进行融合
通过构建顺序约束关系鉴定弹药命中性能改进效果
并提出基于多项分布的弹药多批次试验命中概率估计方法。研究结果表明
该方法相比二项分布方法能够细致描述弹药命中性能
并科学融合各批次射击试验信息与仿真实验信息
为弹药命中概率估计提供借鉴。
Ammunition hit probability tests are usually carried out in multiple batches. With each test batch
the physical properties of ammunition evolve
influencing hit probabilities dynamically. Before each batch
simulated ammunition hit probability information is obtained. Effectively utilizing the shooting tests information and simulation data of each batch is key to hit probability estimation. In addition
considering the different degrees of damage caused by ammunition hitting different areas of the target
the original binomial distribution hit probability test is improved and described by multinomial distribution. System contribution is introduced to measure the impact of each batch of tests on the estimation of the ammunition hit probability
and the Bayesian method is used to fuse the test data of each batch. The ammunition hit property improvement is identified by constructing sequence constraint relation. Finally
the estimation of ammunition hit probability in multiple batch tests based on multinomial distribution is proposed. The example shows that the method can describe the hit properties of ammunition in detail compared with the binomial distribution method. It can also scientifically integrate the information of each batch shooting tests and simulation tests
providing reference for the estimation of the hit probability.
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殷小静 , 胡晓峰 , 荣明 , 等 . 体系贡献率评估方法研究综述与展望 [J ] . 系统仿真学报 , 2019 , 31 ( 6 ): 1027 - 1038 . DOI: 10.16182/j.issn1004731x.joss.19-0240 http://doi.org/10.16182/j.issn1004731x.joss.19-0240 战争就是交战双方作战体系之间的对抗。体系贡献率评估是体系建设和分析重点关注的问题,是对作战要素在作战体系中所发挥作用的一种度量。在梳理体系贡献率的基本概念和分类的基础上,剖析了其内涵和性质。归纳总结了现有体系贡献率评估方法并分析了研究的技术难点,提出了体系贡献率的未来研究方向,为评估工作提供参考。
YIN X J , HU X F , RONG M , et al . Review of evaluation methods of contribution rate to system of systems [J ] . Journal of System Simulation , 2019 , 31 ( 6 ): 1027 - 1038 . (in Chinese) DOI: 10.16182/j.issn1004731x.joss.19-0240 http://doi.org/10.16182/j.issn1004731x.joss.19-0240 The warfare is the encounter of system of systems (SoS). The evaluation on the contribution rate to SoS is of great importance to the development of operational SoS as a measure of the evaluating units&#x02019; contribution to SoS. In this paper t<em>he basic concept and classification of the contribution rate to operational SoS are elaborated</em>; <em>its connotation and nature are analyzed</em>; and <em>the current research status and the technical difficulties in this research field are summarized</em>. <em>The development trend is predicted</em>, which provides a useful reference for relative research.
ZHAO R D , SHI X M , WANG Q , et al . Bayesian inference for ammunition demand based on gompertz distribution [J ] . Journal of Systems Engineering and Electronics , 2020 , 31 ( 3 ): 567 - 577 . DOI: 10.23919/JSEE.2020.000035 http://doi.org/10.23919/JSEE.2020.000035 Aiming at the problem that the consumption data of new ammunition is less and the demand is difficult to predict, combined with the law of ammunition consumption under different damage grades, a Bayesian inference method for ammunition demand based on Gompertz distribution is proposed. The Bayesian inference model based on Gompertz distribution is constructed, and the system contribution degree is introduced to determine the weight of the multi-source information. In the case where the prior distribution is known and the distribution of the field data is unknown, the consistency test is performed on the prior information, and the consistency test problem is transformed into the goodness of the fit test problem. Then the Bayesian inference is solved by the Markov chain-Monte Carlo (MCMC) method, and the ammunition demand under different damage grades is gained. The example verifies the accuracy of this method and solves the problem of ammunition demand prediction in the case of insufficient samples.
陈立新 , 徐仲祥 , 王从容 , 等 . 面向相互比较的装备体系建设贡献率评估 [J ] . 兵工学报 , 2022 , 43 ( 5 ): 1208 - 1214 . DOI: 10.12382/bgxb.2021.0052 http://doi.org/10.12382/bgxb.2021.0052 为有效解决当前装备体系贡献率评估结果难以相互比较的难题,从装备体系建设与设计视角,选取装备额定条件下完成体系规定任务率作为装备体系贡献率的度量指标,将装备体系贡献率评估转化为装备体系设计中的装备完成体系规定任务率优化分配。运用求解优化模型的拉格朗日乘数法,得出所求条件极值的可能极值点,并作为装备体系内装备完成体系规定任务率的优化分配结果。针对装备体系内装备之间并联、串联和混联3种类型的关联协作关系,应用概率论和拉格朗日乘数法,分别构建和求解这3种类型的装备体系完成任务率函数和建设贡献率评估模型,实现了装备体系建设贡献率的统一度量和对比分析。算例结果验证了评估模型的有效性和可行性。
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