Availability of k-out-of-n: F Secondary Subsystem with General Repair Time Distribution

Availability Optimization of a Series Repairable System with Multiple k-out-of-n Subsystems

An availability model is developed to optimize the availability of a series repairable system with multiple k-out-of-n subsystems in this paper. There are two types of decision variables that determine the system designer’s decision to allocate the number of repairmen and to allocate the number of redundant components in each subsystem in the presence of weight, volume and cost constraint...

Real Time Study of a k-out-of-n System: n Identical Elements with Increasing Failure Rates

On Conditional Inactivity Time of Failed Components in an (n-k+1)-out-of-n System with Nonidentical Independent Components

In this paper, we study an (n-k+1)-out-of-n system by adopting their components to be statistically independent though nonidentically distributed. By assuming that at least m components at a fixed time have failed while the system is still working, we obtain the mixture representation of survival function for a quantity called the conditional inactivity time of failed components in the system. ...

Number of Minimal Path Sets in a Consecutive-k-out-of-n: F System

In this paper the combinatorial problem of determining the number of minimal path sets of a consecutive-k-out-of-n: F system is considered. For the cases where k = 2, 3 the explicit formulae are given and for k ≥ 4 a recursive relation is obtained. Direct computation for determining the number of minimal path sets of a consecutive-k-out-of-n: F system for k ≥ 4 remains a difficult task. ...

Availability of K-out-of-N: G systems with non-identical components subject to repair priorities

In this paper, a K-out-of-N:G system with N categories of components is studied. Each component category is characterized by its own failure and repair rates. There are R repair facilities, and repair priorities are specified between the N non-identical components. An algorithm for automatic construction of the system state transition diagram is presented. The stationary availability of each co...

k-OUT-OF-n-SYSTEM WITH REPAIR : T–POLICY

We consider a k-out-of-n system with repair under T -policy. Life time of each component is exponentially distributed with parameter λ. Server is called to the system after the elapse of T time units since his departure after completion of repair of all failed units in the previous cycle or until accumulation of n−k failed units, whichever occurs first. Service time is assumed to be exponential...