Availability and MTTF of a system with one warm standby component.
Bayesian reliability models of Weibull systems: State of the art
In the reliability modeling field, we sometimes encounter systems with uncertain structures, and the use of fault trees and reliability diagrams is not possible. To overcome this problem, Bayesian approaches offer a considerable efficiency in this context. This paper introduces recent contributions in the field of reliability modeling with the Bayesian network approach. Bayesian reliability models are applied to systems with Weibull distribution of failure. To achieve the formulation of the reliability...
Bounds for reliability in the NBU, NWU and NBUE, NWUE classes
Breakdown processes of systems in parallel
Breakdown time distributions of systems in series
Bulk input queues with quorum and multiple vacations.
Central limit theorem for hitting times of functionals of Markov jump processes
A sample of i.i.d. continuous time Markov chains being defined, the sum over each component of a real function of the state is considered. For this functional, a central limit theorem for the first hitting time of a prescribed level is proved. The result extends the classical central limit theorem for order statistics. Various reliability models are presented as examples of applications.
Central limit theorem for hitting times of functionals of Markov jump processes
A sample of i.i.d. continuous time Markov chains being defined, the sum over each component of a real function of the state is considered. For this functional, a central limit theorem for the first hitting time of a prescribed level is proved. The result extends the classical central limit theorem for order statistics. Various reliability models are presented as examples of applications.
Characterization of the first operating period of a two-unit standby redundant system with three states of units
A two-unit cold-standby redundant system with one repair facility is considered. Each unit can be in three states: good (I), degraded (II), and failed (III). We suppose that only the following state-transitions af a unit are possible: . The paper is devoted to the problems which arise only provided that the units of the redundant system can be in more than two states (i.e. in operating and failed states). The following characteristics dealing with a single operating period of the system are studied...
Characterization of the marginal distributions of Markov processes used in dynamic reliability.
Comparaison des lois stationnaire et quasi-stationnaire d'un processus de Markov et application à la fiabilité
Compound Compound Poisson Risk Model
2000 Mathematics Subject Classification: 60K10, 62P05.The compound Poisson risk models are widely used in practice. In this paper the counting process in the insurance risk model is a compound Poisson process. The model is called Compound Compound Poisson Risk Model. Some basic properties and ruin probability are given. We analyze the model under the proportional reinsurance. The optimal retention level and the corresponding adjustment coefficient are obtained. The particular case of the Pólya-Aeppli...
Constant rate distributions on partially ordered sets.
Construction of a class of stationary processes with applications in reliability
Contributions to the renewal theory of the things in operation [Abstract of thesis]
Cost analysis of a redundant system using GERT.
Das Gesetz des iterierten Logarithmus für kumulative Prozesse.
Dispersive functions and stochastic orders
Generalizations of the hazard functions are proposed and general hazard rate orders are introduced. Some stochastic orders are defined as general ones. A unified derivation of relations between the dispersive order and some other orders of distributions is presented
Erneuerungsprozesse mit Wartungsstrategien.
Erratum to: A bulk queueing system under -policy with bilevel service delay discipline and start-up time.