The Mean Value Theorem for Integrals Method for Estimating Two-Dimensional Renewal Functions
| Autor: | Leopoldus Ricky Sasongko, Bambang Susanto |
|---|---|
| Jazyk: | English<br />Indonesian |
| Rok vydání: | 2020 |
| Předmět: | |
| Zdroj: | JTAM (Jurnal Teori dan Aplikasi Matematika), Vol 4, Iss 1, Pp 49-55 (2020) |
| Druh dokumentu: | article |
| ISSN: | 2597-7512 2614-1175 |
| DOI: | 10.31764/jtam.v4i1.1831 |
| Popis: | 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. |
| Databáze: | Directory of Open Access Journals |
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