A bulk queueing system under -policy with bilevel service delay discipline and start-up time.
A Cauchy Integral Related to a Robot-safety Device System
We introduce a robot-safety device system attended by two different repairmen. The twin system is characterized by the natural feature of cold standby and by an admissible “risky” state. In order to analyse the random behaviour of the entire system (robot, safety device, repair facility) we employ a stochastic process endowed with probability measures satisfying general Hokstad-type differential equations. The solution procedure is based on the theory of sectionally holomorphic functions, characterized...
A counting process model of survival of parallel load-sharing system
A system composed from a set of independent and identical parallel units is considered and its resistance (survival) against an increasing load is modelled by a counting process model, in the framework of statistical survival analysis. The objective is to estimate the (nonparametrized) hazard function of the distribution of loads breaking the units of the system (i. e. their breaking strengths), to derive the large sample properties of the estimator, and to propose a goodness-of-fit test. We also...
A filtered renewal process as a model for a river flow.
A first passage problem and its applications to the analysis of a class of stochastic models.
A fixed-size batch service queue with vacations.
A model for a dynamic preventive maintenance policy.
A new simulation estimator of system reliability.
A non-regenerative model of a redundant repairable system: Bounds for the unavailability and asymptotical insensitivity to the lifetime distribution.
A note on the optimal replacement policy
A system with a single activated unit, which can be in a finite number of states, is considered. Inspections of the system are carried out at discrete time instants. It is possible to replace it by a new one at these moments. The user of the system, by setting down conditions of replacements, wants to maximize his gain, which does not include the rest value of units. On a numerical example it is shown that the frequency of replacements of the unit need not be the greater the longer is the period...
A queueing system with a fixed accumulation level, random server capacity and capacity dependent service time.
A single-server queue with random accumulation level.
An algorithm for the distribution of the time between coincidences of two independent PH-renewal processes
An Introduction to the Theory of Stochastic Orders.
Analysis of a two-unit standby redundant system with three states of units
A cold-standby redundant system with two identical units and one repair facility is considered. Units can be in three states> good (I), degraded (II), and failed (III). We suppose that only the following state-transitions of a unit are possible: . The repair of a unit of the type can be interpreted as a preventive maintenance. Its realization depends on the states of both units. Several characteristics of the system (probabilities, distribution functions or their Laplace-Stieltjes transforms...
Anwendung von Erneuerungstheoremen und Taubersätzen für eine Verallgemeinerung der Erneuerungsprozesse.
Approximation of reliability for a large system with non-markovian repair-times
Approximation of Reliability for a large system with non-markovian repair-times
Consider a system of many components with constant failure rate and general repair rate. When all components are reliable and easily reparable, the reliability of the system can be evaluated from the probability q of failure before restoration. In [14], authors give an asymptotic approximation by monotone sequences. In the same framework, we propose, here, a bounding for q and apply it in the ageing property case.
Asymptotic stability of a repairable system with imperfect switching mechanism.
Availability analysis of series systems with cold standby components and general repair time.