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航空活塞发动机大修成本的GM(1,1)优化预测模型
引用本文:闫锋,;丁发军,;向纪鑫.航空活塞发动机大修成本的GM(1,1)优化预测模型[J].航空计算技术,2014(4):91-93.
作者姓名:闫锋  ;丁发军  ;向纪鑫
作者单位:[1] 中国民用航空飞行学院航空工程学院,四川广汉618307; [2] 中国民用航空飞行学院飞机修理厂,四川广汉618307
基金项目:中国民航飞行学院科研团队项目基金(TJ2012-06)
摘    要:以某台Lycoming型航空活塞发动机2009年-2013年的大修费用为时间序列样本,对其进行准光滑检验和准指数规律检验,表明可以建立GM(1,1)模型。建立常规GM(1,1)模型,求得关联度、方差比、小误差概率等指标均为一级精度,但第7次预测的相对误差较大(5.22%)。为了得到较高预测精度,采用新陈代谢GM(1,1)优化模型,结果表明第7次预测的相对误差减小到0.18%,其余指标均保持一级精度。新陈代谢GM(1,1)模型适用于航空活塞发动机的大修成本预测。

关 键 词:航空活塞发动机  大修成本预测  新陈代谢GM(  )模型  精度检验

GM(1,1) Optimized Prediction Model for Overhaul Costs of Aviation Piston Engine
Institution:YAN Feng, DING Fa-jun, XIANG Ji-xin ( 1. Aviation Engineering Institute, Civil Aviation Flight University of China, Guanghan,618307, China ; 2. Aircraft Repair Plant, Civil Aviation Flight University of China, Guanghan , 618307, China)
Abstract:Using overhaul costs of one Lycoming aviation piston engine from 2009 to 2013 as a time series of sample,does quasi-smooth test and quasi-exponential test,the GM(1,1) model is applied for this da-ta sample.constructs conventional GM (1,1) model and does accuracy test.The results are that correla-tion,variance ratio,small error probability are first-class accuracy,however the relative error of the sev-enth forecasting is 5 .22%( more than 2%) ,the error is unacceptable .In order to get acceptable forecas-ting accuracy,constructs metabolic GM(1,1) model.The results from this optimized model forecasting are that the relative error of the seventh forecasting is 0.18%,and other accuracies are first-class.The meta-bolic GM(1,1) model is suitable for overhaul costs forecasting of aviation piston engine .
Keywords:aviation piston engine  overhaul cost prediction  metabolic GM(1  1) model  accuracy test
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