The Predicted Failure on A Two-Dimensional Warranty Using the Bayesian Approach

被引:1
|
作者
Lukitosari, Valeriana [1 ]
Surjanto, Sentot Didik [1 ]
Safarina, Sena [1 ]
Baihaqi, Komar [1 ]
Ummah, Sri Irna Solihatun [1 ]
机构
[1] Sepuluh Nopember Inst Technol, Dept Math, Ind & Financial Math Lab, Surabaya 60111, Indonesia
来源
关键词
Warranty; failure; Bayesian; two-dimensional;
D O I
10.13052/jrss0974-8024.1619
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
Traditionally, the warranty cost is assumed to be the cost of repairs based on the average cost that arises from a damage claim. Several studies have considered the Least Square and Maximum Likelihood Estimation methods in estimating the parameters of the failure distribution. However, this study uses the Bayesian method using the posterior distribution obtained from the prior distribution and the likelihood function. The Bayesian approach is more optimal to use in estimating parameters because it has the smallest value of Aikaike's Information Criterion (AIC) compared to other methods. Failure expectations that are close to natural can be used to analyze survival to determine how long a product will last before the failure. The numerical example in this study, is the type of motorcycle with an engine capacity of 125 CC with the Weibull distribution, while the 150 CC and 160 CC with Exponential distribution. The novelty in this study is that the free repair approach in two-dimensional can be anticipated with failure considering the dimensions of age and mileage.
引用
收藏
页码:171 / 196
页数:26
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