The Mean Value Theorem for Integrals Method for Estimating Two-Dimensional Renewal Functions
| Main Authors: | Sasongko, Leopoldus Ricky, Susanto, Bambang |
|---|---|
| Format: | Article info application/pdf eJournal |
| Bahasa: | eng |
| Terbitan: |
Universitas Muhammadiyah Mataram
, 2020
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| Subjects: | |
| Online Access: |
http://journal.ummat.ac.id/index.php/jtam/article/view/1831 http://journal.ummat.ac.id/index.php/jtam/article/view/1831/1398 |
Daftar Isi:
- An important aspect in the provision of a two-dimensional warranty is the expected number of failures of a component during the two-dimensional warranty period. The purpose of this paper is to present a new method to obtain the expected number of failures of a nonrepairable component from the two-dimensional renewal functions as the solution of two-dimensional renewal integral equations through the Mean Value Theorem for Integrals (MeVTI) method. The two-dimensional renewal integral equation involves Lu-Bhattacharyya’s bivariate Weibull model as a two-dimensional failure model. It turns out that the estimation of the expected number of failures using the MeVTI method is close to that of the other method, Riemann-Stieljies method. The bivariate data behaviour of the failures of an automobile component is also studied in this paper.