Assessment of a generalized discrete time mixed δ-shock model for the multi-state systems

Mixed shock model for multi-state weighted k-out-of-n: F systems with degraded resistance against shocks

One of the widely discussed in the literature and relevant in practice shock models is the delta-shock model that is described by the constant time of a system’s recovery after a shock. However, in practice, as time progresses and due to deterioration of a system, this recovery time is gradually increasing. This important phenomenon was not discussed in the literature so far. Therefore, in this paper, we are considering a time-dependent delta-shock model, i.e., the recovery time becomes an increasing function of time. Moreover, we assume that shocks occur according to the generalized Polya process that contains the homogeneous Poisson process, the non-homogeneous Poisson process and the Polya process as particular cases. For the defined survival model, we derive the corresponding survival function and the mean lifetime and study the related optimal replacement policy along with some relevant stochastic properties.

On the Time-Dependent Delta-Shock Model Governed by the Generalized PóLya Process

Suppose that a system is subject to a sequence of shocks which occur with probability p in any period of time t=1,2,…, and suppose that δ1 and δ2 are two critical levels (1≤δ1<δ2). The system fails...

Reliability analysis of an extended shock model

In this paper, the mixed δ-shock models for the multi-state systems is generalized to a model for which the system switches to a lower partially working state as soon as the occurrence of each inte...

Mohammad Hossien Poursaeed

Papers

Life distribution properties of a new δ - shock model