An attribute control chart for a Weibull distribution under accelerated hybrid censoring

被引:28
作者
Aslam, Muhammad [1 ]
Arif, Osama H. [1 ]
Jun, Chi-Hyuck [2 ]
机构
[1] King Abdulaziz Univ, Dept Stat, Fac Sci, Jeddah, Saudi Arabia
[2] POSTECH, Dept Ind & Management Engn, Pohang, South Korea
来源
PLOS ONE | 2017年 / 12卷 / 03期
关键词
EXACT LIKELIHOOD INFERENCE; STEP-STRESS MODEL; EXPONENTIAL-DISTRIBUTION;
D O I
10.1371/journal.pone.0173406
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
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.
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页数:11
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