This paper presents the reliability and mean time to failure estimation of a deteriorating system that deteriorates with time. The system is two unit active parallel system where the units operates simultaneously. In this study maintenance is not allowed to the system. Laplace transforms is being utilize to solve the mathematical model developed. Expressions for reliability and Mean time to fai...

We analyze a periodically inspected system with hidden failures in which the rate of wear is modulated by a continuous-time Markov chain and additional damage is induced by a Poisson shock process. We derive explicitly the system’s lifetime distribution and mean time to failure, as well as the limiting average availability. The main results are illustrated through two numerical examples.

In this paper, the authors deal with a complex network having n-identical units in series and two identical standby units for evaluation of its ability measures. The authors have been used supplementary variables technique to formulate the mathematical equations for various flow-states of fig-1(b). These mathematical equations have been solved by the application of Laplace transform. The Laplac...

In this paper, the authors deal with a complex network having n-identical units in series and two identical standby units for evaluation of its ability measures. The authors have been used supplementary variables technique to formulate the mathematical equations for various flow-states of fig-1(b). These mathematical equations have been solved by the application of Laplace transform. The Laplac...

Abstract This paper deals with the availability analysis of a complex system that consists of two subsystems namely subsystem 1 and subsystem 2.Subsystem 1 is working under k-out of –n good policy and subsystem 2 has two identical units in parallel configuration. Controller for proper functioning controls the subsystems 1. All failure rates are constant and follow exponential distribution but r...

As systems scale up, their mean-time-to-failure reduces drastically. We consider parallel servers subject to permanent failures but such that only one needs to survive in order to execute a given task. This kind of failure-model is appropriate in at least two types of systems: systems in which repair cannot take place (e.g. spacecraft) and systems that have strict deadlines (e.g. navigation sys...

A heterogeneous computing system provides a variety of different machines, orchestrated to perform an application whose subtasks have diverse execution requirements. The subtasks must be assigned to machines (matching) and ordered for execution (scheduling) such that the overall application execution time is minimized. A new dynamic mapping (matching and scheduling) heuristic called the hybrid ...

In this paper, the authors deal with a complex network having n-identical units in series and two identical standby units for evaluation of its ability measures. The authors have been used supplementary variables technique to formulate the mathematical equations for various flow-states of fig-1(b). These mathematical equations have been solved by the application of Laplace transform. The Laplac...

Probabilistic model based diagnosis com putes the posterior probabilities of failure of components from the prior probabilities of component failure and observations of sys tem behavior One problemwith this method is that such priors are almost never directly available One of the reasons is that the prior probability estimates include an implicit no tion of a time interval over which they are s...

In this paper, the authors deal with a complex network having n-identical units in series and two identical standby units for evaluation of its ability measures. The authors have been used supplementary variables technique to formulate the mathematical equations for various flow-states of fig-1(b). These mathematical equations have been solved by the application of Laplace transform. The Laplac...