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題名:貝氏逐次抽樣計畫與傳統逐次抽樣計畫之比較分析
書刊名:管理研究學報
作者:黃允成 引用關係林淑萍蘇琬菁黃彥彰
作者(外文):Huang, Yun-chengLin, Shu-pingSu, Wang-jingHuang, Yan-zhang
出版日期:2009
卷期:9
頁次:頁1-44
主題關鍵詞:貝氏定理破壞性檢驗逐次抽樣ML-ⅡBayesian theoremDestructive inspectionSequential sampling
原始連結:連回原系統網址new window
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  • 被引用次數被引用次數:期刊(0) 博士論文(0) 專書(0) 專書論文(0)
  • 排除自我引用排除自我引用:0
  • 共同引用共同引用:2
  • 點閱點閱:60
本文是針對破壞性檢驗進行研究,同時納入檢驗成本及因抽樣誤差所造成之誤判損失成本下,以貝氏估計法求得母體不良率之後驗機率,建構出期望總品質成本函數,並經由電腦數值分析,求出在期望總品質成本最小下之最適抽樣個數。此外,再運用逐次抽樣方法,即可在每一逐次抽驗中,決定是否要停止抽樣,或是繼續抽樣後再做決策,以建構出逐次抽樣決策圖。最後,舉一數值範例與傳統逐次抽樣計畫進行比較及分析,以驗證本研究之貝氏逐次抽樣計畫是否優於傳統逐次抽樣計畫。
In this paper, we focus our attention on sample size for destructive inspection and use ML-Ⅱ to estimate the upper limit of the Prior pdf for defective rate of populaton. After that, we consider inspection cost and losses of sampling error and we use Bayesian estimation method for expected total losses. Applying computerized numerical analysis method, we can find out the optimal sample size to minimize the total losses. Furthermore, we use the concept of sequential sampling, then we draw a sample, and inspect it in each sequential observation to determine whether to stop sampling and then making decision or not, to construct the decision chart of sequential sampling. In order to test and verify whether the Bayesian sequential sampling plan is superior to classical sequential sampling plan, we proposed a numerical example to carry on the comparison. Finally, we derived the concrete conclusions for future studies and practical applications.
期刊論文
1.吳錦全、歐陽良裕、郭信霖(20030100)。Bayesian Estimations of Some Process Capability Indices under Restrictive Assumptions。Journal of Chinese Institute of Industrial Engineers,20(1),49-61。new window  new window
2.翁慈宗(20050500)。A Bayesian Approach Employing Generalized Dirichlet Priors in Predicting Microchip Yields。Journal of Chinese Institute of Industrial Engineers,22(3),210-217。new window  new window
3.黃允成(20000800)。貝氏估計下破壞性檢驗最適抽樣個數之研究--以農產品批購為例。交大管理學報,20(1),121-144。new window  延伸查詢new window
4.楊義明、鄭鴻業、盤天培(20051100)。MIL-STD-105E、414與1916抽樣計畫之運用。品質月刊,41(11),73-78。  延伸查詢new window
5.Bennett, G. K.、Case, K. E.、Schmidt, J. W.(1974)。The Economic Effects of Inspector Error on Attribute Sampling Plans。Naval Research Logistics Quarterly,21(3),431-443。  new window
6.Barlow, R. E.、Zhang, X.(1999)。Bayesian Analysis of Inspection Sampling Procedures Discussed by Deming。Journal of Statistical Planning and Inference,16,195-207。  new window
7.Champernowne, D. G.(1953)。The Economics of Sequential Sampling Procedures for Defectives。Applied Statistics,2(2),118-130。  new window
8.樊采虹、王晃三、李長洽、Karson, M. J.(19990300)。Bayesian Estimation for the Optimum in Single Factor Quadratic Regression。中原學報,27(1),61-67。  延伸查詢new window
9.范書愷、高清貴(20040900)。Lower Bayesian Confidence Limits on the Process Capability Index Cpm: A Comparative Study。Journal of Chinese Institute of Industrial Engineers,21(5),444-452。new window  new window
10.黃獻平、賀力行(20060300)。Construction of Safety Evaluation Model for Taiwan Children's Playground Equipment Using the Hierarchical Bayesian Approach and Genetic Algorithms--Case Studies of Swing and Slide。Journal of Chinese Institute of Industrial Engineers,23(2),151-165。new window  new window
11.Kishino, H.、Anver, B. H.(1998)。Maximum Likelihood Procedure adapted to Sampling Schemes。Journal of Statistical Planning and Inference,70,277-286。  new window
12.Lorenzen, T. J.(1985)。Minimum Cost Sampling Plan Using Bayesian Methods。Naval Research Logistics Quartertly,32(1),57-69。  new window
13.Lo, S. C.(2006)。Bayes theory with application to customer segment and consuming behavior control for online business。Journal of Chinese Institute of Industrial Engineers,23(4),303-310。  new window
14.Margaret, W. M.、Joseph, B. D.(1986)。A Sequential Sampling Plan for determining Market Boundaries。Journal of Small Business Management,18,25-29。  new window
15.陳飛龍、葉卓華(20060500)。Economic Design of Control Charts with Burr Distribution for Non-Normal Data under Weibull Failure Mechanism。Journal of Chinese Institute of Industrial Engineers,23(3),200-206。new window  new window
16.Banerjee, P. K.、Rahim, M. A.(1988)。Economic Design of x-Control Charts under Weibull Shock Models。Technometrics,30(4),407-414。  new window
學位論文
1.李慶漳(1996)。在統計相關之生產製程搜尋最佳抽樣計畫(碩士論文)。國立台灣科技大學。  延伸查詢new window
2.陳明山(1985)。逐次估計之研究(碩士論文)。國立政治大學。  延伸查詢new window
3.黃俊德(2000)。逐次分析在民意調查上的應用(碩士論文)。國立政治大學。  延伸查詢new window
4.溫鈺如(2006)。貝氏逐次抽驗計畫下破壞性檢驗最適抽樣個數之研究(碩士論文)。國立屏東科技大學。  延伸查詢new window
圖書
1.張有成(2000)。抽樣檢驗。中華民國品質管制學會。  延伸查詢new window
2.Berger, J. O.(1985)。Statistical decision theory and Bayesian analysis。New York:Springer-Verlag。  new window
 
 
 
 
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