北京航空航天大学学报 ›› 2022, Vol. 48 ›› Issue (5): 816-823.doi: 10.13700/j.bh.1001-5965.2020.0678

• 论文 • 上一篇    下一篇

基于熵理论的复杂装备费用测算模型

魏东涛1,2, 刘晓东1, 丁刚1, 陈玉金1   

  1. 1. 空军工程大学 装备管理与无人机工程学院, 西安 710051;
    2. 空军勤务学院 航材四站系, 徐州 221000
  • 收稿日期:2020-12-04 发布日期:2022-05-30
  • 通讯作者: 刘晓东 E-mail:xdliu6609@qq.com
  • 基金资助:
    国家自然科学基金(52074309)

Complex equipment cost estimation model based on entropy theory

WEI Dongtao1,2, LIU Xiaodong1, DING Gang1, CHEN Yujin1   

  1. 1. School of Equipment Management and UAV Engineering, Air Force Engineering University, Xi’an 710051, China;
    2. Air Force Material and Four-Stations Department, Air Force Logistics College, Xuzhou 221000, China
  • Received:2020-12-04 Published:2022-05-30
  • Supported by:
    National Natural Science Foundation of China (52074309)

摘要: 为了提高航空器、飞机等大型复杂装备的费用预测精度,根据相似信息优先原理和熵理论,将相似装备的选取看作是一个信息融合的过程,引入距离熵和灰关联熵,构建综合相似度指标来度量装备样本与待预测装备之间的相似程度,对不同样本进行赋权,建立加权最小二乘法对装备费用进行预测。针对装备样本数量小于参数数量的情形,通过构建装备参数对费用的驱动效应矩阵及计算相应熵权,选择熵权较大的参数作为测算模型的自变量。通过实例对比分析,表明基于熵理论的加权回归测算模型具有较高的预测精度和稳定性。

关键词: 复杂装备, 距离熵, 灰关联熵, 驱动效应, 熵权

Abstract: 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.

Key words: complex equipment, distance entropy, grey relational entropy, driving effect, entropy weight

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