| 参数未知的多变量设置调整问题研究 |
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| 引用本文： | 刘利平,马义中,汪建均,仲建兰.参数未知的多变量设置调整问题研究[J].数学的实践与认识,2012,42(4):77-85. |
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| 作者姓名： | 刘利平 马义中 汪建均 仲建兰 |
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| 作者单位： | 南京理工大学经济管理学院,江苏南京,210094 |
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| 基金项目： | 国家自然科学基金重点项目，中国博士后科学基金，南京理工大学自主科研项目 |
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| 摘 要： | 针对存在起始设置偏差过程参数未知的多变量过程,考虑不同质量特性对总体的质量损失影响不同,研究了在调整费用恒定下的统计过程调整问题.基于过程的状态空间方程模型,利用贝叶斯方法对过程的未知参数和设置偏差进行估计,结合过程的费用结构给出了过程的调整策略.通过仿真与其他的调整策略进行了对比分析,仿真结果表明,提出的调整策略能够更为有效地减少过程的质量损失.
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| 关 键 词： | 多变量过程 统计过程控制 边界调整 贝叶斯推断 调整成本 |
Setup Adjustment for Multivariate Process with Unknown Parameters |
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| LIU Li-ping
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MA Yi-zhong
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WANG Jian-jun
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ZHONG Jian-lan.Setup Adjustment for Multivariate Process with Unknown Parameters[J].Mathematics in Practice and Theory,2012,42(4):77-85. |
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| Authors: | LIU Li-ping MA Yi-zhong WANG Jian-jun ZHONG Jian-lan |
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| Institution: | (School of Economics and Management,Nanjing University of Science and Technology,Nanjing 210094,China) |
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| Abstract: | Aiming at multivariate process with setup error and unknown parameters,taking the deviation of different quality characteristic to its target results in different loss into account, the deadband adjustment scheme to minimize the total process quality loss for the situation of adjustment with fixed cost is developed.Based on the state-space process-control model, and estimating the unknown parameters by using Bayesian method,the adjustment strategy to minimize the total process lost is provided.The deadband adjustment scheme is compared with the other quality adjustment scheme by simulations,the results show that the scheme proposed in this paper can better reduce the total quality loss. |
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| Keywords: | multivariate process statistical process control deadband adjustment Bayesian inference adjustment cost |
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