arbiter
JournalsAccount

Reliability of a System Subjected to a Cumulative Shock Model With a Change Point

Dheeraj Goyal & Arnab Hazra

Applied Stochastic Models in Business and Industry2026https://doi.org/10.1002/asmb.70092article
ABDC B
Weight
0.50

Abstract

Shock models play a vital role in describing the lifetime behavior of the system working in a stochastic environment. The cumulative shock model is one of the widely studied models of system failure and describes the failure of a system as the accumulation of additive damage from shocks. In this paper, we study a new cumulative shock model when the magnitudes of shocks are non‐identical over time. The proposed model assumes that the magnitude of a shock changes after a random time, namely the change point. We discuss the mathematical expressions for the reliability function. While closed‐form expressions are unavailable, we further use a novel matrix‐based analytical approach to approximate the reliability of the system. We present numerical examples to illustrate our findings.

Open via your library →

Cite this paper

https://doi.org/https://doi.org/10.1002/asmb.70092

Or copy a formatted citation

@article{dheeraj2026,
  title        = {{Reliability of a System Subjected to a Cumulative Shock Model With a Change Point}},
  author       = {Dheeraj Goyal & Arnab Hazra},
  journal      = {Applied Stochastic Models in Business and Industry},
  year         = {2026},
  doi          = {https://doi.org/https://doi.org/10.1002/asmb.70092},
}

Paste directly into BibTeX, Zotero, or your reference manager.

Flag this paper

Reliability of a System Subjected to a Cumulative Shock Model With a Change Point

Flags are reviewed by the Arbiter methodology team within 5 business days.

Evidence weight

0.50

Balanced mode · F 0.40 / M 0.15 / V 0.05 / R 0.40

F · citation impact0.50 × 0.4 = 0.20
M · momentum0.50 × 0.15 = 0.07
V · venue signal0.50 × 0.05 = 0.03
R · text relevance †0.50 × 0.4 = 0.20

† Text relevance is estimated at 0.50 on the detail page — for your query’s actual relevance score, open this paper from a search result.