A control chart for monitoring the lognormal process variation using repetitive sampling. (13th January 2020)

• Record Type: Journal Article
• Authors: Shaheen, Uzma; Azam, Muhammad; Aslam, Muhammad
• Is Part Of: Quality and reliability engineering international. Volume 36:Number 3(2020)
• Page Start: 1028
• Page End: 1047
• Publication Date: 2020-01-13
• Subjects: average run length -- control chart -- lognormal distribution -- Monte Carlo simulation -- repetitive sampling -- standard deviation of run length -- statistical process control; Reliability (Engineering) -- Periodicals; Quality control -- Periodicals; High technology -- Periodicals; 620.00452
• DOI: 10.1002/qre.2613
• Languages: English
• ISSNs: 0748-8017

Abstract

Abstract: Control charts are developed to make the specific quality measures for a successful production process and follow normal distribution behaviors. But some real‐life practices do not match such practices and exhibit some positively skewed behavior like lognormal distribution. The present study has considered this situation and proposed a monitoring control chart based on lognormal process variation using a repetitive sampling scheme. This concept proved better for detecting shifts as quickly as possible, and compared with the existing concept, results are elaborated through extensive tables. The average run lengths and standard deviations of the run lengths are being used as a performance evaluation measures and computed by using Monte Carlo simulations performed in R language. A real‐life situation has been discussed in the example section to strengthen the proposed control chart concept in a real‐life situation.