TY - JOUR A2 - Chiodo, Elio AU - Maghsoodloo, Saeed AU - Helvaci, Dilcu PY - 2014 DA - 2014/03/19 TI - Renewal and Renewal-Intensity Functions with Minimal Repair SP - 857437 VL - 2014 AB - 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 shape β=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. SN - 2314-8055 UR - https://doi.org/10.1155/2014/857437 DO - 10.1155/2014/857437 JF - Journal of Quality and Reliability Engineering PB - Hindawi Publishing Corporation KW - ER -