Renewal and Renewal-Intensity Functions with Minimal Repair. (19th March 2014)

• Record Type: Journal Article
• Authors: Maghsoodloo, Saeed; Helvaci, Dilcu
• Other Names: Chiodo Elio Academic Editor.
• Is Part Of: Journal of quality and reliability engineering. Volume 2014(2014)
• Publication Date: 2014-03-19
• Subjects: Reliability (Engineering) -- Periodicals; Engineering -- Quality control -- Periodicals; Failure analysis (Engineering) -- Periodicals; Engineering -- Quality control; Failure analysis (Engineering); Reliability (Engineering); Electronic journals; Periodicals; 620.0045
• DOI: 10.1155/2014/857437
• Languages: English
• ISSNs: 2314-8055

Abstract

Abstract : The renewal and renewal-intensity functions with minimal repair are explored for the Normal, Gamma, Uniform, and Weibull underlying lifetime distributions. The Normal, Gamma, and Uniform renewal, and renewal-intensity functions are derived by the convolution method. Unlike these last three failure distributions, the Weibull except at shapeβ = 1 does not have a closed-form function for the n -fold convolution. Since the Weibull is the most important failure distribution in reliability analyses, the approximate renewal and renewal-intensity functions of Weibull were obtained by the time-discretizing method using the Mean-Value Theorem for Integrals . A Matlab program outputs all reliability and renewal measures.