This paper considers periodic preventive maintenance policies for a deteriorating repairable
system. On each failure the system is repaired and, at the planned times, it is periodically …

Various shock models have been extensively studied in the literature, mostly under the
assumption of the Poisson process of shocks. In the current paper, we study shock models …

Minimal repair and other imperfect repair models have been intensively studied in the
literature. Much less attention has been payed to the 'worse than minimal'repair problem …

For many applications of repairable systems, the minimal repair assumption, which leads to
nonhomogeneous Poisson processes (NHPP), is not adequate. We review and study two …

We discuss models of preventive maintenance (PM) under different assumptions on the
failure/repair processes. The main emphasis is on the PM modeling under the Brown …

A new probabilistic model of aging that can be applied to organisms is suggested and
analyzed. Organisms are subject to shocks that follow the generalized Polya process (GPP) …

Modeling the pipe failure phenomenon is essential for any water utility. The linear extension
of the Yule process (LEYP), proposed in 2009, was intended to be a synthesis of the pipe …

We consider systems subject to shocks that follow the generalized Polya process (GPP),
which has been recently introduced and characterized in the literature. Distinct from the …

Traditionally, in applications, the shot noise processes have been studied under the
assumption that the underlying arrival point process (shock process) is the homogeneous …

In practice, the point events (eg, shocks) affecting a system often result in some
consequences only after some random delays. In this paper, we generalize the previous …