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103,642
Availability analysis and stationary regime detection of Markov processes
, 1996
"... Point availability and expected interval availability are dependability measures respectively defined by the probability that a system is in operation at a given instant and by the mean percentage of time during which a system is in operation over a finite observation period. We consider a repaira ..."
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Cited by 5 (0 self)
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repairable computer system and we assume as usual that the system is modeled by a finite Markov process. We propose in this paper a new algorithm to compute these two availability measures. This algorithm is based on the classical uniformization technique in which a test to detect the stationary behavior
Principles of the minimum dissipated power in stationary regime
 Proceedings WSEAS
"... Abstract: The use of the power and energy functional in the analysis of the electric circuits makes it possible to appreciate the energetic equilibrium state attained in the circuit at a certain moment. In the present work, a power functional is built and its limit is determined. It is shown that t ..."
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Cited by 2 (2 self)
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Abstract: The use of the power and energy functional in the analysis of the electric circuits makes it possible to appreciate the energetic equilibrium state attained in the circuit at a certain moment. In the present work, a power functional is built and its limit is determined. It is shown that the equilibrium state is one of a minimum energetic state. KeyWords: electric circuits, Hilbert space, power functionals, minimum of functionals. 1
The Random Trip Model: Stability, Stationary Regime, and Perfect Simulation
, 2006
"... We define "random trip", a generic mobility model for random, independent node motions, which contains as special cases: the random waypoint on convex or non convex domains, random walk on torus, billiards, city section, space graph, intercity and other models. We show that, for this model ..."
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Cited by 22 (0 self)
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, for this model, a necessary and sufficient condition for a timestationary regime to exist is that the mean trip duration (sampled at trip endpoints) is finite. When this holds, we show that the distribution of node mobility state converges to the timestationary distribution, starting from origin
QuasiStationary Regime of a Branching Random Walk in Presence of an Absorbing Wall
 J STAT PHYS
, 2008
"... A branching random walk in presence of an absorbing wall moving at a constant velocity v undergoes a phase transition as the velocity v of the wall varies. Below the critical velocity vc, the population has a nonzero survival probability and when the population survives its size grows exponential ..."
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Cited by 12 (0 self)
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exponentially. We investigate the histories of the population conditioned on having a single survivor at some final time T. We study the quasistationary regime for v < vc when T is large. To do so, one can construct a modified stochastic process which is equivalent to the original process conditioned
Superradiant Laser: FirstOrder Phase Transition and Nonstationary Regime
, 1998
"... We solve the superradiant laser model in two limiting cases. First the stationary lowpumping regime is considered where a firstorder phase transition in the semiclassical solution occurs. This discontinuity is smeared out in the quantum regime. Second, we solve the model in the nonstationary regi ..."
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We solve the superradiant laser model in two limiting cases. First the stationary lowpumping regime is considered where a firstorder phase transition in the semiclassical solution occurs. This discontinuity is smeared out in the quantum regime. Second, we solve the model in the nonstationary
MODELLING OF NONUNIQUE STATIONARY REGIMES IN CARBON FILTRATION COMBUSTION
, 2006
"... A dynamic mathematical model of coflow filtration combustion of carboncontaining material in gas flow is presented. Based on this 2D distributed process model, analysis of process behaviour was facilitated by means of analytical and numerical methods. A fully implicit finiteelement approximation ..."
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element approximation of the set of nonlinear partial differential equations was solved iteratively using Newton’s method and adaptive mesh strategy. Numerical experiments revealed a new physical phenomenon in terms of the existence of nonunique stationary regimes of filtration combustion of carbon. Upon switching
PHOTOCONDUCTIVITY IN CHALCOGENIDE GLASSES IN NONSTATIONARY REGIME AND THE BARRIERCLUSTER MODEL
"... The aim of this article is in the first place to familiarize the readers with the barriercluster model of noncrystalline semiconductors, then briefly and succinctly to present some results concerning chalcogenide glasses. The barriercluster model is based on the assumption that in noncrystalline ..."
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to explain on the base of the barriercluster model nonstationary photoconductivity processes and the influence of the some physical factors on them. Electrical and optical properties of noncrystalline semiconductors are a hot subject of interest of investigators for the wide applicability
LONG TIME BEHAVIOUR AND STATIONARY REGIME OF MEMORY GRADIENT DIFFUSIONS
"... In this paper, we are interested in a diffusion process based on a gradient descent. The process is non Markov and has a memory term which is built as a weighted average of the drift term all along the past of the trajectory. For this type of diffusion, we study the long time behaviour of the proces ..."
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Cited by 4 (1 self)
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of the process in terms of the memory. We exhibit some conditions for the longtime stability of the dynamical system and then provide, when stable, some convergence properties of the occupation measures and of the marginal distribution, to the associated steady regimes. When the memory is too long, we show
Existence of the stationary regime of a NonMarkovian Stochastic Differential Equation
, 2009
"... In this paper, we obtain some existence results of stationary solutions to a class of SDEs driven by continuous Gaussian processes with stationary increments. We propose a constructive approach based on the study of some sequences of empirical measures of Euler schemes of these SDEs. In our main res ..."
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In this paper, we obtain some existence results of stationary solutions to a class of SDEs driven by continuous Gaussian processes with stationary increments. We propose a constructive approach based on the study of some sequences of empirical measures of Euler schemes of these SDEs. In our main
Results 1  10
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103,642