|Table of Contents|

Economic statistical design of (-overX) control chart under random process mean shift

《南京理工大学学报》(自然科学版)[ISSN:1005-9830/CN:32-1397/N]

Issue:
2014年05期
Page:
626-632
Research Field:
Publishing date:

Info

Title:
Economic statistical design of (-overX) control chart under random process mean shift
Author(s):
Hu XuelongSun Jinsheng
School of Automation,NUST,Nanjing 210094,China
Keywords:
statistical process control economic statistical design of control chart Gamma(λ2)distribution random mean shift
PACS:
O213.1
DOI:
-
Abstract:
Considering processes with Gamma(λ,2)in-control times due to the abnormal factors,the effects of the random process mean shift on economic statistical design of the (-overX) control chart are investigated by means of constructing a loss function of the (-overX) control chart.The design parameters of (-overX) control chart are obtained through the pattern search algorithm.A numerical example is presented and a sensitivity analysis is performed.The results show that a cautious monitoring strategy should be adopted when using the (-overX) control chart to monitor random mean shift in the processes.

References:

[1] Duncan A J.The economic design of (-overX) charts used to maintain current control of a process[J].Journal of the American Statistical Association,1956,51(274):228-242.
[2]Lorenzen T J,Vance L C.The economic design of control charts:A unified approach[J].Technometrics,1986,28(1):3-10.
[3]Saniga E M.Economic statistical control chart designs with an application to (-overX) and Rcharts[J].Technometrics,1989,31(3):313-320.
[4]De Magalhaes M S,Epprecht E K,Costa A F B.Economic design of a VP (-overX) chart[J].International Journal of Production Economics,2001,74(1):191-200.
[5]Chen Y K,Hsieh K L,Chang C C.Economic design of the VSSI (-overX) control charts for correlated data[J].International Journal of Production Economics,2007,107(2):528-539.
[6]Rahim M A,Banerjee P K.A generalized model for the economic design of (-overX)-control charts for production systems with increasing failure rata and early replacement[J].Naval Research Logistics,1993,40(6):787-809.
[7]Al-Oraini H A,Rahim M A.Economic statistical design of (-overX) control charts for systems with Gamma(λ,2)in-control times[J].Journal of Applied Statistics,2003,30(4):397-409.
[8] Chen F L,Yeh C H.Economic statistical design of non-uniform sampling scheme (-overX) control charts under non-normality and Gamma shock using genetic algorithm[J].Expert Systems with Applications,2009,36(5):9488-9497.
[9]Wu Z,Shamsuzzaman M,Pan E S.Optimization design of control charts based on Taguchi's loss function and random process shift[J].International Journal of Production Research,2004,42(2):379-390.
[10]Pan E S,Jin Y,Wang Y.Integration of economic production quantity in optimization design of control chart based on loss function and random process shift[J].Journal of Manufacturing Technology Management,2011,22(7):929-946.
[11]Celano G,Magalhaes M S,Costa A F B.A stochastic shift model for economically designed charts constrained by process stage configuration[J].Internation Journal of Production Economics,2011,132(2):315-325.
[12]薛丽.基于田口质量损失函数的非正态EWMA控制图优化设计[J].工业工程,2011(14):75-78. Xue Li.Optimization design of an EWMA control chart for non-normal data based on Taguchi loss function[J].Industrial Engineering Journal,2011,14(5):75-78.
[13]仓婷,金垚,潘尔顺.经济生产批量与CUSUM控制图最优化联合设计[J].工业工程与管理,2011,16(5):102-106. Cang Ting,Jin Yao,Pan Ershun.Integration of optimal economic production quantity policy in the optimization design of CUSUM charts[J].Industrial Engineering and Management,2011,16(5):102-106.

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Last Update: 2014-10-31