Article Per Year (5 Year)
p-Index From 2021 - 2026
0
P-Index
This Author published in this journals
All Journal d'Cartesian: Jurnal Matematika dan Aplikasi
Leopoldus Sasongko
Unknown Affiliation
Mathematics

Published : 1 Documents Claim Missing Document
Claim Missing Document
Check
Articles

Found 1 Documents
Search

 1 
The Estimation of Renewal Functions Using the Mean Value Theorem for Integrals (MeVTI) Method Leopoldus Sasongko; Tundjung Mahatma
d\'Cartesian: Jurnal Matematika dan Aplikasi Vol. 5 No. 2 (2016): September 2016
Publisher : Sam Ratulangi University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35799/dc.5.2.2016.14984

Abstract

In the analysis of warranty, renewal functions are important in acquiring the expected number of failures of a nonrepairable component in a time interval. It is very difficult and complicated -if at all possible- to obtain a renewal function analytically. This paper proposes a numerical integration method for estimating renewal functions in the terms of renewal integral equations. The estimation is done through the Mean Value Theorem for Integrals (MeVTI) method after modifying the variable of the renewal integral equations. The accuracy of the estimation is measured by its comparison against the existing analytical approach of renewal functions, those are for Exponential, Erlang, Gamma, and Normal baseline failure distributions. The estimation of the renewal function for a Weibull baseline failure distribution as the results of the method is compared to that of the well-known numerical integration approaches, the Riemann-Stieljies and cubic spline methods. Keywords :    Mean Value Theorem for Integrals, Renewal Functions, Renewal Integral Equations.
Co-Authors Tundjung Mahatma