PENGENDALIAN MUTU BERDASARKAN DISTRIBUSI WEIBULL DENGAN METODE BAYES; QUALITY CONTROL BASED ON WEIBULL DISTRIBUTION WITH BAYESIAN METHOD

CECILIA NOVIANTI SALSINHA, Subanar

2014 | Disertasi | PROGRAM STUDI S2 MATEMATIKA

Weibull distribution is one of the continous probability density function. This distribution is known as a flexible distribution. One of its flexibility is can be transformed into other distributions such as exponential distribution depends on parameter selected. Similar to other distribution, Weibull distribution also characterized by cumulative distribution function, mean, variance and moment generating function. One of the well-known application of this distribution is in the field of quality control utilizing reliability data and the well-known tool in quality control is control chart. Therefore, reliability data is not follow normal distribution then Shewhart control chart cannot be applied. To solve this problem, control chart can be formed with the control limit is obtained by Bayesian method. In applying Bayesian method, prior distribution of shape parameter is assumed to be uniform distribution and variables for reliability is assumed to be invers of Weibull distribution. The prior distribution is combine with likelihood function then posterior distribution is obtained which in then used as the control limits by find its mean.

Kata Kunci : Weibull distribution, characteristics of Weibull distribution, reliability, quality control, Bayesian method.