T2 Control Chart; Economic Design; Markov chain and genetic algorithm
Abstract :
[en] The Hotelling’s T2 control chart, is the most widely used multivariate procedure for
two or more related quality characteristics, but it’s power lacks the desired performance in detecting
small to moderate shifts. Recently, the variable sampling intervals (VSI) control scheme in
which the length of successive sampling intervals is determined upon the preceding T2 values has
been proved to have a very good performance on detecting small to moderate shifts when it is
compared to the original T2 control chart . Moreover, it has been shown that the VSI scheme is
more economical than the classical one. This paper studies the economic consequences of a new
control scheme named variable sampling intervals and control limits (VSICL) in that the sampling
interval h and control limit k vary between minimum and maximum values while keeping the sample
size fixed over time. We apply the cost model proposed by Costa and Rahim [8]. Furthermore,
we assume that the length of time that the process remains in control is exponentially distributed
which allows us to apply the Markov chain approach for developing the cost model. We apply
genetic algorithm to determine the optimal values of model parameters by minimizing the cost
function. Finally, both VSI and VSICL T2 control charts are compared with respect to the expected
cost per unit time.
Disciplines :
Quantitative methods in economics & management
Author, co-author :
torabian, Mohsen; Islamic Azad University of Takestan, Qazvin, Iran > Department of Mathematics
Moghadam, M. B.; Allameh Tabatabaee University, Tehran, Iran > Dept. of Statistics,
Faraz, Alireza ; Université de Liège - ULiège > HEC-Ecole de gestion : UER > Statistique appliquée à la gestion et à l'économie
Language :
English
Title :
ECONOMICALLY DESIGNED HOTELLING’S T2 CONTROL CHART USING VSICL SCHEME
Publication date :
November 2010
Journal title :
Arabian Journal for Science and Engineering
ISSN :
0377-9211
Publisher :
King Fahd University of Petroleum and Minerals, Chichester, United Kingdom
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