“…Semi-Markov processes have been proposed for reliability and performability evaluation of systems; see 6,11,12 . In 13 , how to apply homogeneous and nonhomogeneous semi-Markov processes in reliability problems is shown.…”
We show how it is possible to construct efficient duration dependent semi-Markov
reliability models by considering recurrence time processes. We define generalized reliability indexes and we show how it is possible to compute them. Finally, we describe a possible application in the study of credit rating dynamics by considering the credit rating migration as a reliability problem.
“…Semi-Markov processes have been proposed for reliability and performability evaluation of systems; see 6,11,12 . In 13 , how to apply homogeneous and nonhomogeneous semi-Markov processes in reliability problems is shown.…”
We show how it is possible to construct efficient duration dependent semi-Markov
reliability models by considering recurrence time processes. We define generalized reliability indexes and we show how it is possible to compute them. Finally, we describe a possible application in the study of credit rating dynamics by considering the credit rating migration as a reliability problem.
“…Consequently the probability is one if and only if j = i 0 otherwise it will be equal to zero. Now let us consider the computation of the second addend on the right hand side of formula (20):…”
Section: The Indexed Semi-markov Processmentioning
confidence: 99%
“…The three indicators that we evaluate are the availability, reliability and maintainability functions, they were extensively studied among others by [17,18] and related to semi-Markov models by [2,3,13,5,19,20].…”
Section: Reliability Theory For the Ismc Model Of Wind Speedmentioning
The computation of the dependability measures is a crucial point in many engineering problems as well as in the planning and development of a wind farm. In this paper we address the issue of energy production by wind turbines by using an indexed semi-Markov chain as a model of wind speed. We present the mathematical model, the data and technical characteristics of a commercial wind turbine (Aircon HAWT-10kW). We show how to compute some of the main dependability measures such as reliability, availability and maintainability functions. We compare the results of the model with real energy production obtained from data available in the Lastem station (Italy) and sampled every 10 min
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