| 基于Beta分布的最经济过程均值及检验规格限的确定 |
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| 引用本文： | 张斌,WANG Hai-yan,曹春正,HAN Zhi-jun.基于Beta分布的最经济过程均值及检验规格限的确定[J].系统工程,2008,26(6). |
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| 作者姓名： | 张斌 WANG Hai-yan 曹春正 HAN Zhi-jun |
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| 作者单位： | 南京信息工程大学,数理学院,江苏,南京 |
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| 基金项目： | 国家自然科学基金资助项目
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江苏省" 六大人才高峰"资助项目 |
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| 摘 要： | 100%检验是对生产方和顾客都提供保护的一种检验方法,在工业生产或过程决策中起到非常重要的作用.考虑许多实际过程输出分布非正态的情况,本文以Beta分布作为过程输出分布,结合不对称二次质量损失函数,以生产方和顾客整个系统的损失最小为前提,提出最优检验策略.在全检决策中,建立了确定最优检验规格限及过程均值的经济模型.灵敏度分析反映了各参数对检验方案、最优过程均值确定及总损失的影响.数值计算结果说明本文所提模型对改进过程输出质量是有效的.
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| 关 键 词： | 质量损失函数 Beta分布 检验规格限 过程均值 |
Determining the Most Economic Process Mean and Inspection Specification Limits Based on a Beta Distribution |
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| ZHANG Bin,WANG Hai-yan,CAO Chun-zheng,HAN Zhi-jun.Determining the Most Economic Process Mean and Inspection Specification Limits Based on a Beta Distribution[J].Systems Engineering,2008,26(6). |
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| Authors: | ZHANG Bin WANG Hai-yan CAO Chun-zheng HAN Zhi-jun |
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| Institution: | 1.School of Math and Physics;Nanjing University of Information Science & Technology;Nanjing 210044;China;2.School of Management;Nanjing University of Finance & Economics;Nanjing 210046;3.School of Economics and Management;Nanjing University Science & Technology;Nanjing 210094;China |
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| Abstract: | 100% inspection is a means of providing protection for both the producer and the consumer.It plays an important role in some industrial or other decision-making processes.In view of the non-normal distribution in practical output processes and on the premise of the minimum loss of the producer and the customer in the whole system,this paper treats a Beta distribution as a process output distribution and develops an optimal inspection strategy by using the asymmetric quadratic quality loss function.In the ca... |
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| Keywords: | Quality Loss Function Beta Distribution Inspection Specification Limits Process Mean |
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