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Improving Shewhart control chart performance for monitoring the Weibull mean
Author(s) -
Ho Linda Lee,
Fernandes Fidel Henrique,
Quinino Roberto C.,
Bourguig Marcelo
Publication year - 2021
Publication title -
quality and reliability engineering international
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 62
eISSN - 1099-1638
pISSN - 0748-8017
DOI - 10.1002/qre.2777
Subject(s) - control chart , weibull distribution , chart , shewhart individuals control chart , control limits , \bar x and r chart , sample size determination , computer science , statistics , x bar chart , statistical process control , reliability engineering , process (computing) , mathematics , engineering , ewma chart , operating system
In this paper, we are interested in monitoring the stability of a Weibull process mean. We introduce a simplified variable sample size (SVSS) procedure, which consists of using alternately sample sizes n A and n B withn A > n B , to improve the performance of the traditional X ¯ control chart (a fixed sample size n ). Operationally, the proposal is relatively simple and its adoption yields a faster signal of an abnormal situation compared with the traditional X ¯ chart in a variety of shifts. We present instructions for practitioners on how to design a control chart using the SVSS procedure. We also illustrate the proposed scheme through a numerical example.