Volume 47 Issue 4
Apr.  2021
Turn off MathJax
Article Contents
ZHAI Yuyao, SHI Xianjun, YANG Shuai, et al. Multi-objective test optimization selection based on NSGA-Ⅱ under unreliable test conditions[J]. Journal of Beijing University of Aeronautics and Astronautics, 2021, 47(4): 792-801. doi: 10.13700/j.bh.1001-5965.2020.0036(in Chinese)
Citation: ZHAI Yuyao, SHI Xianjun, YANG Shuai, et al. Multi-objective test optimization selection based on NSGA-Ⅱ under unreliable test conditions[J]. Journal of Beijing University of Aeronautics and Astronautics, 2021, 47(4): 792-801. doi: 10.13700/j.bh.1001-5965.2020.0036(in Chinese)

Multi-objective test optimization selection based on NSGA-Ⅱ under unreliable test conditions

doi: 10.13700/j.bh.1001-5965.2020.0036
Funds:

National Natural Science Foundation of China 61903374

More Information
  • Corresponding author: SHI Xianjun, E-mail: sxjaa@sina.com
  • Received Date: 04 Feb 2020
  • Accepted Date: 21 Feb 2020
  • Publish Date: 20 Apr 2021
  • Since test optimization selection plays a vital role in the test design of various equipment systems, in the testability design of various types of equipment, test unreliable factors seriously affect the optimization of test selection. First, this paper describes the mathematical model of the multi-objective optimization selection problem under unreliable test conditions. Second, under this mathematical model, the test cost, missed detection rate, and false alarm rate are used as the optimization goals, and the fault detection rate and isolation rate are constraints. Thus, a multi-objective optimization problem was established. Third, the NSGA-Ⅱ algorithm, a fast Non-dominated multi-objective optimization Sorting Genetic Algorithm-Ⅱ with an elite retention strategy, was proposed to optimize the proposed multi-objective problem. Using the NSGA-Ⅱ algorithm, a set of Pareto optimal solutions are obtained, and the optimal test combination can be selected according to actual needs. Finally, an example analysis is performed on a certain equipment, three sets of optimal solutions are obtained, which can meet the optimal selection under different needs, and the feasibility and effectiveness of the mathematical model and multi-objective optimization algorithm are verified.

     

  • loading
  • [1]
    刘建敏, 刘远宏, 冯辅周, 等. 基于贪婪算法的测试优化选择[J]. 兵工学报, 2014, 35(12): 2109-2115. https://www.cnki.com.cn/Article/CJFDTOTAL-BIGO201412026.htm

    LIU J M, LIU Y H, FENG F Z, et al. The optimization selection of tests based on greedy algorithm[J]. Acta Armamentarii, 2014, 35(12): 2109-2115(in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-BIGO201412026.htm
    [2]
    蒋荣华, 王厚军, 龙兵. 基于离散粒子群算法的测试选择[J]. 电子测量与仪器学报, 2008, 22(2): 11-15. https://www.cnki.com.cn/Article/CJFDTOTAL-DZIY200802004.htm

    JIANG R H, WANG H J, LONG B. Test selection based on binary particle swarm optimization[J]. Journal of Electronic Measurement and Instrument, 2008, 22(2): 11-15(in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-DZIY200802004.htm
    [3]
    朱喜华, 李颖晖, 李宁, 等. 基于改进离散粒子群算法的传感器布局优化设计[J]. 电子学报, 2013, 41(10): 2104-2108. https://www.cnki.com.cn/Article/CJFDTOTAL-DZXU201310036.htm

    ZHU X H, LI Y H, LI N, et al. Optimal sensor placement design based on improved discrete PSO algorithm[J]. Acta Electronica Sinica, 2013, 41(10): 2104-2108(in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-DZXU201310036.htm
    [4]
    雷华军, 秦开宇. 基于改进量子进化算法的测试优化选择[J]. 仪器仪表学报, 2013, 34(4): 838-844. https://www.cnki.com.cn/Article/CJFDTOTAL-YQXB201304019.htm

    LEI H J, QIN K Y. Optimal test selection based on improved quantum-inspired evolutionary algorithm[J]. Chinese Journal of Scientific Instrument, 2013, 34(4): 838-844(in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-YQXB201304019.htm
    [5]
    雷华军, 秦开宇. 测试不可靠条件下基于量子进化算法的测试优化选择[J]. 电子学报, 2017(10): 154-162. https://www.cnki.com.cn/Article/CJFDTOTAL-DZXU201710022.htm

    LEI H J, QIN K Y. Optimal selection of imperfect tests based on improved quantum-inspired evolutionary algorithm[J]. Acta Electronica Sinica, 2017(10): 154-162(in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-DZXU201710022.htm
    [6]
    张钊旭, 王志杰, 李建辰, 等. 基于搜寻者算法的测试性优化分配方法[J]. 鱼雷技术, 2018, 26(1): 53-56. https://www.cnki.com.cn/Article/CJFDTOTAL-YLJS201801010.htm

    ZHANG Z X, WANG Z J, LI J C, et al. Optimal allocation method of testability based on seeker optimization algorithm[J]. Torpedo Technology, 2018, 26(1): 53-56(in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-YLJS201801010.htm
    [7]
    邓露, 许爱强, 吴忠德. 基于遗传算法的故障样本优化选取方法[J]. 系统工程与电子技术, 2015, 37(7): 1703-1708. https://www.cnki.com.cn/Article/CJFDTOTAL-XTYD201507037.htm

    DENG L, XU A Q, WU Z D. Method of failure simple optimal selection based on genetic algorithm[J]. System Engineering and Electronics, 2015, 37(7): 1703-1708(in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-XTYD201507037.htm
    [8]
    周虎, 胡海峰, 刘清竹, 等. 基于故障-测试相关模型的运载火箭测试点优化设计方法[J]. 载人航天, 2018, 81(1): 38-44. https://www.cnki.com.cn/Article/CJFDTOTAL-ZRHT201801007.htm

    ZHOU H, HU H F, LIU Q Z, et al. An optimization method for test points of manned launch vehicle based on fault-test dependency model[J]. Manned Spaceflight, 2018, 81(1): 38-44(in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-ZRHT201801007.htm
    [9]
    陈希祥, 邱静, 刘冠军. 基于混合二进制粒子群-遗传算法的测试优化选择研究[J]. 仪器仪表学报, 2009, 30(8): 1674-1680. https://www.cnki.com.cn/Article/CJFDTOTAL-YQXB200908019.htm

    CHEN X X, QIU J, LIU G J. Optimal test selection based on hybrid BPSO and GA[J]. Chinese Journal of Scientific Instrument, 2009, 30(8): 1674-1680(in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-YQXB200908019.htm
    [10]
    代西超, 南建国, 黄雷, 等. 基于改进遗传模拟退火算法的测试优化选择[J]. 空军工程大学学报(自然科学版), 2016, 17(2): 70-75. https://www.cnki.com.cn/Article/CJFDTOTAL-KJGC201602014.htm

    DAI X C, NAN J G, HUANG L, et al. An optimal test selection based on improved genetic simulated annealing algorithm[J]. Journal of Air Force Engineering University(Natural Science Edition), 2016, 17(2): 70-75(in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-KJGC201602014.htm
    [11]
    QIU J, TAN X D, LIU G J, et al. Test selection and optimization for PHM based on failure evolution mechanism model[J]. Journal of Systems Engineering and Electronics, 2013, 24(5): 780-792.
    [12]
    ZHANG S G, LIU C R, HU Z, et al. Testability evaluation of the systems with multi-outcome imperfect tests[J]. Applied Mechanics and Materials, 2013, 303(306): 407-410.
    [13]
    ZHANG S G, PATTIPATI K R, HU Z, et al. Optimal selection of imperfect tests for fault detection and isolation[J]. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 2013, 43(6): 1370-1384.
    [14]
    ZHANG S G, PATTIPATI K R, HU Z, et al. Dynamic coupled fault diagnosis with propagation and observation delays[J]. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 2013, 43(6): 1424-1439.
    [15]
    LI F. Dynamic modeling, sensor placement design, and fault diagnosis of nuclear desalination systems[D]. Tennessee: University of Tennessee, 2011: 20-30.
    [16]
    PAN J L, YE X H, XUE Q. An heuristic genetic algorithm solve test point selecting with unreliable test[C]//International Workshop on Computer Science & Engineering. Piscataway: IEEE Press, 2010: 227-232.
    [17]
    杨光, 刘冠军, 李金国, 等. 基于故障检测和可靠性约束的传感器布局优化[J]. 电子学报, 2006, 34(2): 348-351. https://www.cnki.com.cn/Article/CJFDTOTAL-DZXU200602028.htm

    YANG G, LIU G J, LI J G, et al. Optmial sensor placement based on various fault detectability and reliability criteria[J]. Acta Electronica Sinica, 2006, 34(2): 348-351(in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-DZXU200602028.htm
    [18]
    叶晓慧, 潘佳梁, 王红霞, 等. 基于动态贪婪算法的不可靠测试点选择[J]. 北京理工大学学报, 2010, 30(11): 1350-1354. https://www.cnki.com.cn/Article/CJFDTOTAL-BJLG201011020.htm

    YE X H, PAN J L, WANG H X, et al. Test set selection under unreliable test based on a new dynamic greedy algorithm[J]. Transactions of Beijing Institute of Technology, 2010, 30(11): 1350-1354(in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-BJLG201011020.htm
    [19]
    DENG S, JING B, YANG Z. Test point selection strategy under unreliable test based on heuristic particle swarm optimization algorithm[C]//2012 IEEE Conference on Prognostics and System Health Management. Piscataway: IEEE Press, 2012: 1-6.
    [20]
    RAGHAVAN V, SHAKERI M, PATTIPATI K. Test sequencing algorithms with unreliable tests[J]. IEEE Transactions on Systems, Man, and Cybernetics-Part A: Systems and Humans, 1999, 29(4): 347-357.
    [21]
    RUAN S, YU F, MEIRINA C, et al. Dynamic multiple fault diagnosis with imperfect tests[J]. Autotestcon, 2003, 39(6): 1224-1236.
    [22]
    杨鹏. 基于相关性模型的诊断策略优化设计技术[D]. 长沙: 国防科技大学, 2008: 47-50.

    YANG P. Optimization technology of design for diagnostic strategy based on dependency model[D]. Changsha: National University of Defense Technology, 2008: 47-50(in Chinese).
    [23]
    翟禹尧, 史贤俊, 吕佳朋. 基于广义随机Petri网的导弹系统测试性建模与指标评估方法研究[J]. 兵工学报, 2019, 40(10): 2070-2079. https://www.cnki.com.cn/Article/CJFDTOTAL-BIGO201910012.htm

    ZHAI Y Y, SHI X J, LV J P. Research on evaluation method for testability index and modeling of missile system based on GSPN[J]. Acta Armamentarii, 2019, 40(10): 2070-2079(in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-BIGO201910012.htm
    [24]
    SRINIVAS N, DEB K. Muiltiobjective optimization using nondominated sorting in genetic algorithms[J]. Evolutionary Computation, 2014, 2(3): 221-248.
    [25]
    DEB K, PRATAP A, AGARWAL S, et al. A fast and elitist multiobjective genetic algorithm: NSGA-Ⅱ[J]. IEEE Transactions on Evolutionary Computation, 2002, 6(2): 182-197.
    [26]
    陈希祥, 邱静, 刘冠军. 测试不确定条件下基于贝叶斯网络的装备测试优化选择技术[J]. 中国机械工程, 2011, 22(4): 379-384. https://www.cnki.com.cn/Article/CJFDTOTAL-ZGJX201104001.htm

    CHEN X X, QIU J, LIU G J. Optimal test selection of materiel based on bayesian network under test uncertainty[J]. China Mechanical Engineering, 2011, 22(4): 379-384(in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-ZGJX201104001.htm
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Figures(7)  / Tables(7)

    Article Metrics

    Article views(457) PDF downloads(80) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return