G-Processes with Engineering Applications (Quality & Reliability) through Re liability Integral Theory (RIT)
Abstract:
The stochastic processes [HMP (Homogeneous Markov), NHMP (Non-Homogeneous Markov), SMP (Semi-Markov), RP (Renewal), A&RP (Age and Repair)] used for reliability analyses (to the author knowl edge) are particular cases of the G-Process. We present the basics of RIT (Reliability Integral Theory) a theory able to deal with the G-processes. It can be applied to Reliability, Availability, Maintenance and Statistical applications (Control Charts and Time Between Events Control Charts); its power allows the readers to prove that the T Charts and the reliability computations for repairable sys-tems (e.g. the Duane method), used in Minitab 21 are wrong: various cases are considered, from pub-lished papers. due to lack of knowledge of RIT); moreover, with RIT anybody can prove that the T Charts and the reliability computations for repairable sys tems (e.g. the Duane method), used in Minitab 21 are wrong. We introduce the Stochastic G-Processes, via the Integral Equations, which rule the rela-tionships between the reliabilities Ri(t|s) related to the system states. We show the advantages of using RIT for Quality decisions (economics and business).
