Work

Discrete time three-state k-out-of-n system’s failure and numbers of components in each state

Year: 2024

Type: article

Abstract: In this paper we consider three-state k -out-of- n system composed of components which lifetimes are modeled by independent and identically distributed discrete random variables. The primary focus is the random vector representing the numbers of components in each state. We derive its joint distribution. For illustration, we provide examples of the systems with components with geometrically distributed lifetimes following the Markov degradation process.

Source: Journal of Computational and Applied Mathematics

DOI: 10.1016/j.cam.2024.116255

Authors: Agnieszka Goroncy, Krzysztof Jasiński

Institution: Nicolaus Copernicus University

Language: English

Topic: Reliability and Maintenance Optimization

Subfield: Safety, Risk, Reliability and Quality

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,160

OpenAlex ID: W4402310571

FWCI: 1.054

Cites: 45

Cited by: 4

Related to: 10