2010
DOI: 10.1016/j.ress.2009.08.004
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Performance evaluation of multi-state degraded systems with minimal repairs and imperfect preventive maintenance

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Cited by 128 publications
(53 citation statements)
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“…According to the proposed Markov model in Figure 1, Chapman-Kolmogorov equations [27] are used to calculate p i (t). These equations are as follows: dP 1 (t) dt = ( 1 + 1 )P 1 (t)+ 1 P 2 (t)+ 1 P 2d 1 (t) 1 ; (8.1) dP 2j 1 (t) dt = ( j + j )P 2j 1 (t) + j P 2j (t) + j 1 P 2j 3 (t) + j P 2d 1 (t) j for j = 2; ; d 1; with the following initial values: p 1 (t) = 1; p 2 (t) = p 3 (t) = = p 2d+1 (t) = 0:…”
Section: The Availability Functionmentioning
confidence: 99%
See 1 more Smart Citation
“…According to the proposed Markov model in Figure 1, Chapman-Kolmogorov equations [27] are used to calculate p i (t). These equations are as follows: dP 1 (t) dt = ( 1 + 1 )P 1 (t)+ 1 P 2 (t)+ 1 P 2d 1 (t) 1 ; (8.1) dP 2j 1 (t) dt = ( j + j )P 2j 1 (t) + j P 2j (t) + j 1 P 2j 3 (t) + j P 2d 1 (t) j for j = 2; ; d 1; with the following initial values: p 1 (t) = 1; p 2 (t) = p 3 (t) = = p 2d+1 (t) = 0:…”
Section: The Availability Functionmentioning
confidence: 99%
“…An analytical approach based on the failure number of the system was used to determine the optimal replacement policy. Soro et al [27] suggested that if the system reaches the last acceptable degraded state, it is brought back to one of the states with higher efciency employing preventive maintenance. Nourelfath et al [28] formulated a joint redundancy and imperfect preventive maintenance planning optimization model for series-parallel multi-state degraded systems.…”
Section: Introductionmentioning
confidence: 99%
“… preventive maintenance -According to Soro, et al (2010), preventive maintenance is the practice of replacing components or subsystems before they fail, usually with predetermined frequency (hard time) or due to inspection and test (condition monitoring). The goal is to maintain continuous operation of the system, in this case the aircraft;…”
Section: Maintenance Typesmentioning
confidence: 99%
“…Instead of using an exponential distribution, it may be more realistic to assume that a general probability distribution describes staying time in one of these states (Welte 2008). Soro (Soro et al 2010) proposed a model for evaluating availability, production rate and reliability function of multi-state degraded systems subject to minimal repairs and imperfect preventive maintenance. System status is considered to degrade with its use.…”
Section: Introductionmentioning
confidence: 99%