Modified Branching Process Reliability Model

The definition of process system reliability was provided. The study focused on the process reliability model with the quality parameter as index. Taking into account the effect of error propagation in working procedures on the whole process, it proposed the calculating methods of working procedures and process system reliability, which can effectively evaluate the ability of process subsystem in fulfilling design requirement.

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Markov process reliability model for photovoltaic module failures

ACTA IMEKO ◽

10.21014/acta_imeko.v6i4.428 ◽

2017 ◽

Vol 6 (4) ◽

pp. 121 ◽

Cited By ~ 2

Author(s):

Loredana Cristaldi ◽

Mohamed Khalil ◽

Marco Faifer

Keyword(s):

Markov Process ◽

Failure Modes ◽

Photovoltaic Module ◽

Time To Failure ◽

Reliability Model ◽

Survival Functions ◽

Pv Module ◽

Process Reliability ◽

The Mean ◽

Mean Time

<p>This paper presents a Markov process reliability model for a photovoltaic module. This model includes all the possible failures associated to the operation of a Photovoltaic (PV) module. Failure modes are identified in detail, afterwards all the possible failure states of the PV module during the service are considered. Finally, a complete Markov process is attained to assess the probability of each failure mode occurrence and estimate the mean time to failure, probability density function of the time to module failure, hazard and survival functions of a PV module.</p>

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Some Contributions to the Theory of Near-Critical Bisexual Branching Processes

Journal of Applied Probability ◽

10.1017/s0021900200003119 ◽

2007 ◽

Vol 44 (02) ◽

pp. 492-505

Author(s):

M. Molina ◽

M. Mota ◽

A. Ramos

Keyword(s):

Branching Process ◽

Branching Processes ◽

Sufficient Conditions ◽

Positive Probability ◽

Limit Laws ◽

Bisexual Branching Processes ◽

Probabilistic Evolution

We investigate the probabilistic evolution of a near-critical bisexual branching process with mating depending on the number of couples in the population. We determine sufficient conditions which guarantee either the almost sure extinction of such a process or its survival with positive probability. We also establish some limiting results concerning the sequences of couples, females, and males, suitably normalized. In particular, gamma, normal, and degenerate distributions are proved to be limit laws. The results also hold for bisexual Bienaymé–Galton–Watson processes, and can be adapted to other classes of near-critical bisexual branching processes.

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