Filters

2012 - 201912020 - 20241
Reset filters

Settings

Subject: Shock modelWoS Q: Q4

Search Results

Now showing 1 - 2 of 2
  • Thumbnail Image
    Article
    Citation - WoS: 61
    Citation - Scopus: 72
    Generalized δ-shock model via runs
    (Elsevier Science Bv, 2012) Eryilmaz, Serkan
    According to the delta-shock model, the system fails when the time between two consecutive shocks falls below a fixed threshold delta. This model has a potential application in various fields such as inventory, insurance and system reliability. In this paper, we study run-related generalization of this model such that the system fails when k consecutive interarrival times are less than a threshold delta. The survival function and the mean value of the failure time of the system are explicitly derived for exponentially distributed interarrival times. We also propose a new combined shock model which considers both the magnitudes of successive shocks and the interarrival times. (C) 2011 Elsevier B.V. All rights reserved.
  • Thumbnail Image
    Article
    Citation - WoS: 7
    Citation - Scopus: 6
    On δ-shock model with a change point in intershock time distribution
    (Elsevier, 2024) Chadjiconstantinidis, Stathis; Eryilmaz, Serkan
    In this paper, we study the reliability of a system that works under o-shock model. That is, the system failure occurs when the time between two successive shocks is less than a given threshold o. In a traditional setup of the o shock model, the intershock times are assumed to have the same distribution. In the present setup, a change occurs in the distribution of the intershock times due to an environmental effect. Thus, the distribution of the intershock times changes after a random number of shocks. The reliability of the system is studied under this change point setup.