Volume 48 Issue 5
May  2022
Turn off MathJax
Article Contents
WEI Dongtao, LIU Xiaodong, DING Gang, et al. Complex equipment cost estimation model based on entropy theory[J]. Journal of Beijing University of Aeronautics and Astronautics, 2022, 48(5): 816-823. doi: 10.13700/j.bh.1001-5965.2020.0678(in Chinese)
Citation: WEI Dongtao, LIU Xiaodong, DING Gang, et al. Complex equipment cost estimation model based on entropy theory[J]. Journal of Beijing University of Aeronautics and Astronautics, 2022, 48(5): 816-823. doi: 10.13700/j.bh.1001-5965.2020.0678(in Chinese)

Complex equipment cost estimation model based on entropy theory

doi: 10.13700/j.bh.1001-5965.2020.0678
Funds:

National Natural Science Foundation of China 52074309

More Information
  • Corresponding author: LIU Xiaodong, E-mail: xdliu6609@qq.com
  • Received Date: 04 Dec 2020
  • Accepted Date: 25 Feb 2021
  • Publish Date: 20 May 2022
  • In order to improve the cost prediction accuracy of large and complex equipment such as aircraft and airplanes, based on the principle of similar information priority and entropy theory, the selection of similar equipment is regarded as a process of information fusion, and distance entropy and grey relational entropy are introduced to construct a comprehensive similarity index in order to measure the similarity between the equipment sample and the equipment to be predicted, assign weights to different samples, and establish a weighted least squares method to predict equipment costs. In the situation where the number of equipment samples is less than the number of parameters, the cost driven effect matrix is established and the calculation of the corresponding entropy weight is performed by constructing equipment parameters. The parameter with larger entropy weight is selected as the independent variable of the prediction model.The comparative analysis of examples shows that the weighted regression calculation model based on entropy theory has high prediction accuracy and stability.

     

  • loading
  • [1]
    史志富, 张安, 王卫华, 等. 导弹武器系统费用的模糊估算模型研究[J]. 模糊系统与数学, 2006, 20(2): 153-157. doi: 10.3969/j.issn.1001-7402.2006.02.026

    SHI Z F, ZHANG A, WANG W H, et al. Research on fuzzy estimation model of missile weapon system cost[J]. Fuzzy Systems and Mathematics, 2006, 20(2): 153-157(in Chinese). doi: 10.3969/j.issn.1001-7402.2006.02.026
    [2]
    解建喜, 宋笔锋, 刘东霞, 等. 基于灰色关联分析理论和等工程价值比方法的飞行器研制生产费用研究[J]. 兵工学报, 2007, 28(2): 223-227. doi: 10.3321/j.issn:1000-1093.2007.02.022

    XIE J X, SONG B F, LIU D X, et al. Research on aircraft development and production costs based on grey relational analysis theory and equivalent engineering value ratio method[J]. Acta Armamentarii, 2007, 28(2): 223-227(in Chinese). doi: 10.3321/j.issn:1000-1093.2007.02.022
    [3]
    姜鹏, 郭铜修, 孟德运, 等. 基于PLSR-CER模型的大飞机成本风险控制[J]. 南京航空航天大学学报, 2012, 44(3): 425-430. doi: 10.3969/j.issn.1005-2615.2012.03.025

    JIANG P, GUO T X, MENG D Y, et al. Cost risk control of large aircraft based on PLSR-CER model[J]. Journal of Nanjing University of Aeronautics and Astronautics, 2012, 44(3): 425-430(in Chinese). doi: 10.3969/j.issn.1005-2615.2012.03.025
    [4]
    王骏, 罗鹏程, 周经伦, 等. 军用飞机出厂费用估算方法研究进展综述[J]. 系统工程与电子技术, 2017, 39(9): 2012-2021. https://www.cnki.com.cn/Article/CJFDTOTAL-XTYD201709014.htm

    WANG J, LUO P C, ZHOU J L, et al. Overview of the research progress of military aircraft ex-factory cost estimation methods[J]. Systems Engineering and Electronics, 2017, 39(9): 2012-2021(in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-XTYD201709014.htm
    [5]
    吴利丰, 于亮, 文朝霞. 预测复杂装备研制费用的GM(0, N)模型[J]. 中国管理科学, 2019, 27(7): 203-207. https://www.cnki.com.cn/Article/CJFDTOTAL-ZGGK201907020.htm

    WU L F, YU L, WEN Z X. GM(0, N) model for forecasting the development cost of complex equipment[J]. China Management Science, 2019, 27(7): 203-207(in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-ZGGK201907020.htm
    [6]
    方世力, 吴利丰, 刘思峰, 等. 复杂装备费用驱动因子识别的效应比重极大熵模型[J]. 系统工程, 2014, 32(10): 149-153. https://www.cnki.com.cn/Article/CJFDTOTAL-GCXT201410022.htm

    FANG S L, WU L F, LIU S F, et al. Effective weight maximum entropy model for identification of cost driving factors of complex equipment[J]. System Engineering, 2014, 32(10): 149-153(in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-GCXT201410022.htm
    [7]
    钟诗胜, 付旭云, 胡淑荣. 小样本条件下航空装备费用预测[J]. 哈尔滨工业大学学报, 2011, 43(5): 52-55. https://www.cnki.com.cn/Article/CJFDTOTAL-HEBX201105011.htm

    ZHONG S S, FU X Y, HU S R. Aviation equipment cost forecast under small sample conditions[J]. Journal of Harbin Institute of Technology, 2011, 43(5): 52-55(in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-HEBX201105011.htm
    [8]
    付雅芳, 刘晓东, 李延杰, 等. 基于遗传算法和案例推理的软件费用估算方法[J]. 计算机工程与应用, 2012, 48(8): 86-91. doi: 10.3778/j.issn.1002-8331.2012.08.024

    FU Y F, LIU X D, LI Y J, et al. Software cost estimation method based on genetic algorithm and case-based reasoning[J]. Computer Engineering and Applications, 2012, 48(8): 86-91(in Chinese). doi: 10.3778/j.issn.1002-8331.2012.08.024
    [9]
    蔡伟宁, 方卫国. 飞机研制费用的组合预测方法[J]. 系统工程与电子技术, 2014, 36(8): 1573-1579. https://www.cnki.com.cn/Article/CJFDTOTAL-XTYD201408021.htm

    CAI W N, FANG W G. Combination forecasting method of aircraft development cost[J]. Systems Engineering and Electronics, 2014, 36(8): 1573-1579(in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-XTYD201408021.htm
    [10]
    刘思峰, 杨英杰, 吴利丰, 等. 灰色系统理论及其应用[M]. 7版. 北京: 科学出版社, 2014: 140-168.

    LIU S F, YANG Y J, WU L F, et al. Grey system theory and its application[M]. 7th ed. Beijing: Science Press, 2014: 140-168(in Chinese).
    [11]
    邓聚龙. 灰色系统理论教程[M]. 武汉: 华中理工大学出版社, 1990: 1-20.

    DENG J L. Gray system theory course[M]. Wuhan: Huazhong University of Science and Technology Press, 1990: 1-20(in Chinese).
    [12]
    罗党, 王小雷, 孙德才, 等. 含时间周期项的离散灰色DGM(1, 1, T)模型及其应用[J]. 系统工程理论与实践, 2020, 40(10): 2737-2746. doi: 10.12011/1000-6788-2019-1335-10

    LUO D, WANG X L, SUN D C, et al. Discrete gray DGM(1, 1, T) model with time period term and its application[J]. Systems Engineering Theory and Practice, 2020, 40(10): 2737-2746(in Chinese). doi: 10.12011/1000-6788-2019-1335-10
    [13]
    吴利丰, 刘思峰, 方世力, 等. 相似信息优先的复杂装备费用测算模型[J]. 系统工程与电子技术, 2014, 36(10): 2024-2028. doi: 10.3969/j.issn.1001-506X.2014.10.21

    WU L F, LIU S F, FANG S L, et al. Complicated equipment cost estimation model with similar information priority[J]. Systems Engineering and Electronic Technology, 2014, 36(10): 2024-2028(in Chinese). doi: 10.3969/j.issn.1001-506X.2014.10.21
    [14]
    韩其松, 余敏建, 高阳阳, 等. 云模型和距离熵的TOPSIS法空战多目标威胁评估[J]. 火力与指挥控制, 2019, 44(4): 136-141. doi: 10.3969/j.issn.1002-0640.2019.04.028

    HAN Q S, YU M J, GAO Y Y, et al. TOPSIS air combat multi-target threat assessment based on cloud model and distance entropy[J]. Fire Power and Command Control, 2019, 44(4): 136-141(in Chinese). doi: 10.3969/j.issn.1002-0640.2019.04.028
    [15]
    管清云, 陈雪龙, 王延章. 基于距离熵的应急决策层信息融合方法[J]. 系统工程理论与实践, 2015, 35(1): 216-227. https://www.cnki.com.cn/Article/CJFDTOTAL-XTLL201501024.htm

    GUAN Q Y, CHEN X L, WANG Y Z. Emergency decision-level information fusion method based on distance entropy[J]. System Engineering Theory and Practice, 2015, 35(1): 216-227(in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-XTLL201501024.htm
    [16]
    左静, 帅斌, 何凯妮, 等. 基于改进熵权聚类SVD的铁路应急救援辅助决策方法[J]. 铁道学报, 2017, 39(8): 18-26. doi: 10.3969/j.issn.1001-8360.2017.08.003

    ZUO J, SHUAI B, HE K N, et al. Railway emergency rescue aid decision-making method based on improved entropy weight clustering SVD[J]. Journal of the China Railway Society, 2017, 39(8): 18-26(in Chinese). doi: 10.3969/j.issn.1001-8360.2017.08.003
    [17]
    左静, 帅斌, 黄文成. 改进距离熵权MULTIMOORA的铁路应急救援方案搜索[J]. 吉林大学学报(工学版), 2017, 47(4): 1068-1074. https://www.cnki.com.cn/Article/CJFDTOTAL-JLGY201704009.htm

    ZUO J, SHUAI B, HUANG W C. Improved distance entropy weight MULTIMOORA's railway emergency rescue plan search[J]. Journal of Jilin University (Engineering and Technology Edition), 2017, 47(4): 1068-1074(in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-JLGY201704009.htm
    [18]
    张岐山, 郭喜江, 邓聚龙. 灰关联熵分析方法[J]. 系统工程理论与实践, 1996, 16(8): 8-12. https://www.cnki.com.cn/Article/CJFDTOTAL-XTLL608.001.htm

    ZHANG Q S, GUO X J, DENG J L. Grey relation entropy analysis method[J]. Systems Engineering Theory and Practice, 1996, 16(8): 8-12(in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-XTLL608.001.htm
    [19]
    王育红, 党耀国. 基于灰色关联系数和D-S证据理论的区间数投资决策方法[J]. 系统工程理论与实践, 2009, 29(11): 128-134. https://www.cnki.com.cn/Article/CJFDTOTAL-XTLL200911015.htm

    WANG Y H, DANG Y G. An interval number investment decision method based on grey correlation coefficient and D-S evidence theory[J]. Systems Engineering Theory and Practice, 2009, 29(11): 128-134(in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-XTLL200911015.htm
    [20]
    刘思峰, 蔡华, 杨英杰, 等. 灰色关联分析模型研究进展[J]. 系统工程理论与实践, 2013, 33(8): 2041-2046. doi: 10.3969/j.issn.1000-6788.2013.08.018

    LIU S F, CAI H, YANG Y J, et al. Research progress of grey relational analysis model[J]. System Engineering Theory and Practice, 2013, 33(8): 2041-2046(in Chinese). doi: 10.3969/j.issn.1000-6788.2013.08.018
    [21]
    王琦, 季顺祥, 钱子伟, 等. 基于熵理论和改进ELM的光伏发电功率预测[J]. 太阳能学报, 2020, 41(10): 151-158. https://www.cnki.com.cn/Article/CJFDTOTAL-TYLX202010020.htm

    WANG Q, JI S X, QIAN Z W, et al. Photovoltaic power prediction based on entropy theory and improved ELM[J]. Acta Energia Sinica, 2020, 41(10): 151-158(in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-TYLX202010020.htm
    [22]
    冯忠居, 朱彦名, 高雪池, 等. 基于熵权-灰关联法的岩质开挖边坡安全评价模型[J]. 交通运输工程学报, 2020, 20(2): 55-65. https://www.cnki.com.cn/Article/CJFDTOTAL-JYGC202002005.htm

    FENG Z J, ZHU Y M, GAO X C, et al. Safety evaluation model of rock excavation slope based on entropy weight-grey correlation method[J]. Journal of Traffic and Transportation Engineering, 2020, 20(2): 55-65(in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-JYGC202002005.htm
    [23]
    李登科, 张恒喜, 李寿安. BP神经网络的飞机机体研制费用估算[J]. 火力与指挥控制, 2006, 31(9): 27-29. doi: 10.3969/j.issn.1002-0640.2006.09.008

    LI D K, ZHANG H X, LI S A. BP neural network based aircraft body development cost estimation[J]. Fire Power and Command Control, 2006, 31(9): 27-29(in Chinese). doi: 10.3969/j.issn.1002-0640.2006.09.008
    [24]
    张晓晖, 朱家元, 张恒喜. 基于LS-SVM的小样本费用智能预测[J]. 计算机工程与应用, 2004, 40(27): 203-204. doi: 10.3321/j.issn:1002-8331.2004.27.064

    ZHANG X H, ZHU J Y, ZHANG H X. Smart prediction of small sample cost based on LS-SVM[J]. Computer Engineering and Applications, 2004, 40(27): 203-204(in Chinese). doi: 10.3321/j.issn:1002-8331.2004.27.064
    [25]
    张小海, 金家善, 耿俊豹, 等. 用DEA优化主成分回归的寿命周期费用建模[J]. 海军工程大学学报, 2011, 23(1): 32-36. doi: 10.3969/j.issn.1009-3486.2011.01.007

    ZHANG X H, JIN J S, GENG J B, et al. Using DEA to optimize the life cycle cost modeling of principal component regression[J]. Journal of Naval University of Engineering, 2011, 23(1): 32-36(in Chinese). doi: 10.3969/j.issn.1009-3486.2011.01.007
  • 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

    Tables(6)

    Article Metrics

    Article views(258) PDF downloads(105) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return