STATISTICAL DESIGN OF VARIABLE SAMPLING INTERVALS MULTIVARIATE T2 CONTROL CHARTS USING GENETIC ALGORITHMS

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SEYF ASGHAR; FARAZ ALI REZA; TORABIAN MOHSEN

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Journal: Journal of Operational Research in its Applications Year:2010 | Volume:6 | Issue:23 Page(s): 37-50

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Information Journal Paper

Title

STATISTICAL DESIGN OF VARIABLE SAMPLING INTERVALS MULTIVARIATE T2 CONTROL CHARTS USING GENETIC ALGORITHMS

Author(s)

SEYF ASGHAR | FARAZ ALI REZA | TORABIAN MOHSEN | Issue Writer Certificate

Keywords

MARKOV CHAIN PROCESSQ3

MULTIVARIATE T2 CONTROL CHARTQ3

MULTIVARIATE QUALITY CONTROLQ3

GENETIC ALGORITHMQ3

Abstract

The familiar multivariate process monitoring and control procedure is the Hotelling’s T2 control chart, a direct analog of the univariate shewhart chart. But, its efficiency for detecting small to moderate shifts in the process mean is poor. To improve the power of chart, this paper presents the variable sampling intervals (VSI) scheme. It is assumed that the length of time the process remains in control has exponential distribution. The chart is modeled using Markov chains and is optimized using GENETIC ALGORITHM optimization method. The results show that the T2 chart with variable ratio sampling scheme is quicker than the classical one in detecting almost all shifts in the process mean.

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APA: Copy

SEYF, ASGHAR, FARAZ, ALI REZA, & TORABIAN, MOHSEN. (2010). STATISTICAL DESIGN OF VARIABLE SAMPLING INTERVALS MULTIVARIATE T2 CONTROL CHARTS USING GENETIC ALGORITHMS. JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS), 6(23), 37-50. SID. https://sid.ir/paper/164541/en

Vancouver: Copy

SEYF ASGHAR, FARAZ ALI REZA, TORABIAN MOHSEN. STATISTICAL DESIGN OF VARIABLE SAMPLING INTERVALS MULTIVARIATE T2 CONTROL CHARTS USING GENETIC ALGORITHMS. JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS)[Internet]. 2010;6(23):37-50. Available from: https://sid.ir/paper/164541/en

IEEE: Copy

ASGHAR SEYF, ALI REZA FARAZ, and MOHSEN TORABIAN, “STATISTICAL DESIGN OF VARIABLE SAMPLING INTERVALS MULTIVARIATE T2 CONTROL CHARTS USING GENETIC ALGORITHMS,” JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS), vol. 6, no. 23, pp. 37–50, 2010, [Online]. Available: https://sid.ir/paper/164541/en

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