On some characteristics of quality for systems operating in a random environment-Reference-Cited by-同舟云学术

On some characteristics of quality for systems operating in a random environment

Published:2018-05-27 Issue:2 Volume:233 Page:257-267
ISSN:1748-006X
Container-title:Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability
language:en
Short-container-title:Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability

Author:

Cha Ji Hwan¹^ORCID,Finkelstein Maxim²³

Affiliation:

1. Department of Statistics, Ewha Womans University, Seoul, Republic of Korea

2. Department of Mathematical Statistics, University of the Free State, Bloemfontein, South Africa

3. ITMO University, Saint Petersburg, Russia

Abstract

We consider systems that are operating in a random environment modeled by an external shock process. Performance of a system is characterized by a quality (output) function that is decreasing (due to degradation) in the absence of shocks. The important feature of our model is that shocks affect the failure rate of a system directly, and at the same time, each shock contributes to the additional decrease in the quality function forming the corresponding stochastic process. Expectations (unconditional and conditional on survival) and variability of this process are analyzed. Some monotonicity properties of the conditional quality function are discussed and expressions for the future values of this function are derived.

Publisher

SAGE Publications

Subject

Safety, Risk, Reliability and Quality

Link

http://journals.sagepub.com/doi/pdf/10.1177/1748006X18775901

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