基于灰色加权马氏链的某军品质量合格率预测

Prediction of Qualified Rate of a Military Product Based on Grey Weighted Markov Chain

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DOI 10.12208/j.ijme.20220052
刊名
International Journal of Mechanical Engineering
年,卷(期) 2022, 1(5)
作者
作者单位

中国空空导弹研究院 河南洛阳 ;

摘要
某军品的一次检验合格率系列同时具有内在规律性和随机波动性,选取灰色加权马氏链模型对序列进行预测。结果表明,组合模型的预测误差仅为1.08%,优于单纯GM(1,1)模型的4.91%,且前者的小误差概率及后验差比值分别为1.00和0.12,均优于后者的0.83和0.50,预测精度显著优于后者,并据此模型对未来6批次的合格率进行了预测分析。
Abstract
Through the statistics of the one-time inspection qualification rate of products produced in 12 consecutive batches of a military parts production line, it is found that the time series has inherent regularity and random volatility, GM(1,1) model and grey weighted Markov model are respectively selected to predict the qualification rate. The results show that the relative error of grey weighted Markov model for prediction is only 1.08%, which is obviously better than 4.91% of GM(1,1) model. The small error probability and posterior error ratio of the former are 1.00 and 0.12 respectively, which are better than 0.83 and 0.50 of the latter. The prediction accuracy of the former is significantly better than the latter. Finally, the excellent grey weighted Markov model is used to predict the qualification rate of the next 6 batches.
关键词
质量合格率;灰色GM(1,1)模型;加权马氏链;预测方法
KeyWord
Quality qualification rate; GM(1,1) model; Weighted Markov model; Prediction method
基金项目
页码 1-5
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陈代青*,常青,和明军,郭雅琪. 基于灰色加权马氏链的某军品质量合格率预测 [J]. 国际机械工程. 2022; 1; (5). 1 - 5.

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