Sensitivity error bounds for non-exponential stochastic networks
Sharp asymptotic behavior for wetting models in -dimension.
Shock models with NBUFR and NBAFR survivals.
The life distribution H(t) of a device subject to shocks governed by a Poisson process and pure birth process is considered as a function of probabilities Pk of not surviving the first k shocks. It is shown that some properties of a discrete distribution {P'k} are reflected on properties of the continuous life distribution H(t). In particular, if Pk has the discrete NBUFR properties, then H(t) has the continuous NBUFR and NBAFR properties. The NBUFR and NBAFR life distributions are obtained under...
Some approximate inspection policies for a system with imperfect inspections
Some estimations of system reliability with positively dependent survival times of critical paths
Some estimations of two-terminal series-parallel system reliability
Some examples of non-monotonicities in a two-unit redundant system
A cold-standby redundant sytem with two identical units and one repair facility is considered. Units can be in three states: good , degraded , and failed . It is supposed that only the following state-transitions of a unit are possible: , , , . The paper deals with the comparison of some initial situations of the system and with a stochastical improvement of units (stochastical increase of time of work in state and/or stochastical decrease of times of repairs of the types and/or ) and...
Some remarks on system reliability
Some stochastic comparison results for series and parallel systems with heterogeneous Pareto type components
We focus on stochastic comparisons of lifetimes of series and parallel systems consisting of independent and heterogeneous new Pareto type components. Sufficient conditions involving majorization type partial orders are provided to obtain stochastic comparisons in terms of various magnitude and dispersive orderings which include usual stochastic order, hazard rate order, dispersive order and right spread order. The usual stochastic order of lifetimes of series systems with possibly different scale...
Stochastic analysis of a three unit standby system.