A study on a single-unit repairable system with working and repair time omission under an alternative renewal process

Abstract

In this article, we study a single-unit repairable model with working and repair time omission under an alternative renewal process. As the working time is shorter than threshold [Formula: see text], we regard some working states as failure states while observing the system operation. Likewise, some failure states are regarded as working states during the observation, because the repair time is shorter than threshold [Formula: see text]. Traditionally, the system’s performance for an omission system is determined by maximizing its point availability and limiting availability. Nowadays, it is widely recognized that this performance measure does not always provide relevant information for practical purposes. The interval availability is often seen as a more appropriate performance measure. So it is an important work to introduce and derive the point and interval availabilities under model assumptions. Finally, some numerical examples are presented to illustrate the results obtained in this article.