高技术通讯2011，Vol.21Issue(7)：770-774,5.DOI:10.3772/j.issn.1002-0470.2011.07.017
多批次小批量生产过程能力指数的贝叶斯估计
The Bayesian estimation of process capability indices for multi-batch and low volume manufacturing
摘要
Abstract
Aiming at the estimation deviation of traditional approaches for calculating process capability indices(PCIs)during multi-batch and low volume manufacturing, the process mean and the process variance of multi-batch and low volume manufacturing are assumed to follow the conjugate normal distribution and the conjugate gamma distribution, respectively, and by utilizing the theory of conjugate Bayesian estimation, the method for estimation of distributed parameters and the general expression for calculation of PCIs for multi-batch and low volume manufacturing, are proposed. This Bayesian estimation method not only eliminates the deviation in estimation of process parameters when only using the current sample with the low sample volume, but also enables the weight of current sample increasing automatically in estimation of process parameters while the sample volume of the current batch is increasing. The effectiveness and practicability of the PCI calculation based on Bayesian estimation for multi-batch and low volume manufacturing were verified by an example.关键词
过程能力指数(PCIs)/贝叶斯估计/多批次小批量生产Key words
process capability indices(PCIs)/Bayesian estimation/multi-batch and low volume manufacturing引用本文复制引用
苗瑞,章欣已,江志斌,赵言正..多批次小批量生产过程能力指数的贝叶斯估计[J].高技术通讯,2011,21(7):770-774,5.基金项目
国家自然科学基金(70932004)和高校博士点专项科研基金(20070248021)资助项目. （70932004）
