Construction and Simulation Analysis for Stability Speed Parameter of Instantaneous Availability for One-Unit Repairable Systems

Yang, Yi; Wang, Lichao; Kang, Rui

doi:10.1007/978-3-642-42057-3_105

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2018

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“…If they follow general distribution (e.g., uniform, gamma, and Weibull distributions), the Markov renewal process and simulation analysis are often used [11]. Yang et al studied the fluctuation mechanism of 3-state IA model through simulation analysis and concluded that when parameters, including the failure time, the maintenance time and the support delay time, follow exponential distribution, IA of system has no fluctuation [15,16]. The second aspect is a study of how to set up an IA model, solve the IA and analyze the IA fluctuation for multi-unit systems (series system and parallel system).…”

Section: Introductionmentioning

confidence: 99%

The Mathematical Model and Numerical Solution of Instantaneous Availabilities for the Two-Unit Series Repairable System and Parallel Repairable System with Three States

Yang

Chen

2018

Applied Sciences

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This paper is aimed to obtain the instantaneous availabilities (IAs) for the two-unit series system and parallel system with three states. By the compound S i m p s o n formula and the compound trapezoidal formula, we get the numerical solution of IA for the two-unit series system with three states based on the renewal process. With four-order R u n g e - K u t t a formula, the numerical solution of IA for the two-unit parallel system with three states is obtained based on the Markov process.

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Section: Introductionmentioning

confidence: 99%