System reliability analysis of a lamp problem by simulation

Zilong Feng, Tadashi Dohi and Won Young Yun

Journal of Risk and Reliability, 2023, vol. 237, issue 6, 1186-1198

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.

Keywords: System reliability; network performance testing; coverage problem; lamp problem; simulation (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:sae:risrel:v:237:y:2023:i:6:p:1186-1198

DOI: 10.1177/1748006X221116454

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