According to the δ-shock model, the system fails when the time between two consecutive
shocks falls below a fixed threshold δ. This model has a potential application in various …

In the stress-strength reliability literature, although identical components assumption may
not be realistic due to the structure of a system, independent and identically distributed …

In this study, we consider point and interval estimations of stress–strength reliability in a
consecutive k-out of-n system when the stress and strength variables follow the proportional …

Consider a system which has n independent components (or subsystems) each consisting
of m dependent elements. Let Xi=(Xi1, Xi2,…, Xim), i= 1, 2,…, n denote the random strength …

A consecutive k-out-of-n: G system consists of n linearly ordered components functions if
and only if at least k consecutive components function. In this article we investigate the …

Discrete stochastic models are tools that allow us to understand, control, and optimize
engineering systems and processes. This book provides real-life examples and illustrations …

Statistics denoting the numbers of success runs of length exactly equal and at least equal to
a fixed length, as well as the sum of the lengths of success runs of length greater than or …

In the present paper the metric of distance is adapted to a sequence of binary trials and the
concept of r-weak runs is introduced and defined. The new structure gives rise to new …

The two most commonly used reliability models in engineering applications are binary k-out-
of-n: G and consecutive k-out-of-n: G systems. Multi-state k-out-of-n: G and multi-state …

The performance of healthcare systems has always been a significant concern of policy
makers. Performance in healthcare systems is assessed by multiple criteria, and it is a …