Open AccessAn attribute control chart for a Weibull distribution under accelerated hybrid censoring
Author(s) -
Muhammad Aslam,
Osama H. Arif,
ChiHyuck Jun
Publication year - 2017
Publication title -
plos one
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.99
H-Index - 332
ISSN - 1932-6203
DOI - 10.1371/journal.pone.0173406
Subject(s) - control chart , censoring (clinical trials) , weibull distribution , chart , statistics , computer science , control limits , binomial distribution , mathematics , reliability engineering , process (computing) , engineering , operating system
In this article, an attribute control chart has been proposed using the accelerated hybrid censoring logic for the monitoring of defective items whose life follows a Weibull distribution. The product can be tested by introducing the acceleration factor based on different pressurized conditions such as stress, load, strain, temperature, etc. The control limits are derived based on the binomial distribution, but the fraction defective is expressed only through the shape parameter, the acceleration factor and the test duration constant. Tables of the average run lengths have been generated for different process parameters to assess the performance of the proposed control chart. Simulation studies have been performed for the practical use, where the proposed chart is compared with the Shewhart np chart for demonstration of the detection power of a process shift.