Instantaneous availability of a single-unit non-markov repair time omission

Abstract

This paper introduces a new model for a single-unit non-Markov repairable system in which the repair time is sufficiently short (less than some given critical value); it won't result in system failures. Such short repair interval can be omitted from the downtime record. In this paper the critical repair time is considered into two classes, one is a constant and the other is a non-negative random variable. Then the availability for the new model is calculated. Finally, some numerical examples are given to illustrate the proposed model.

User-perceived Availability of a Software Rejuvenation Model with Recovery Time Omission

“…Let us assume now that the critical rejuvenation time τ is not constant but it follows a probability distribution. In the relevant literature, various distributions have been used for the critical time like Weibull , beta , and exponential . In our approach, the exponential distribution is chosen for the critical rejuvenation time τ .…”

“…In this paper, inspired on the idea of repair time omission introduced that is frequently met in the literature [15][16][17][18][19] and it is based on the ion-channel theory. [20][21][22] we model how rejuvenation time can be omitted, when it is too short, that is, when microrejuvenation is enabled.…”