System reliability analysis of a lamp problem by simulation-Reference-Cited by-同舟云学术

System reliability analysis of a lamp problem by simulation

Published:2022-08-09 Issue: Volume: Page:1748006X2211164
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:

Feng Zilong¹^ORCID,Dohi Tadashi²,Yun Won Young¹

Affiliation:

1. Major in Industrial Data Science and Engineering, Department of Industrial Engineering, Pusan National University, Busan, Korea

2. School of Informatics and Data Science, Hiroshima University, Higashihiroshima, Japan

Abstract

The paper proposes a simulation-based procedure to determine the system reliability of a lamp problem. Suppose we have k lamps to light up a room, and each lamp can light a circular area of radius r. The system reliability is the probability that there is no dark area in the room during time t. We obtain the system reliability function and the expected system lifetime through a simulation when the reliability and the coverage radius of the lamps are given. A Monte Carlo test method and an Intersection test method are used to check the system state (working or failure) for different situations. In numerical examples, Kaplan–Meier and Nelson estimators determine the system reliability function from system failure times generated by the simulation. Additionally, we compare the two methods with numerical examples.

Publisher

SAGE Publications

Subject

Safety, Risk, Reliability and Quality

Link

http://journals.sagepub.com/doi/pdf/10.1177/1748006X221116454

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