Operations Research, Systems Engineering and Industrial Engineering Commons^™

A K-Out-Of-N Reliability System With An Unreliable Server And Phase Type Repairs And Services: The (N, T) Policy, Srinivas R. Chakravarthy, Achyutha Krishnamoorthy, P. V. Ushakumari

Industrial & Manufacturing Engineering Publications

In this paper we study a k-out-of-n reliability system in which a single unreliable server maintains n identical components. The reliability system is studied under the (N,T) policy. An idle server takes a vacation for a random amount of time T and then attends to any failed component waiting in line upon completion of the vacation. The vacationing server is recalled instantaneously upon the failure of the Nth component. The failure times of the components are assumed to follow an exponential distribution. The server is subject to failure with failure times exponentially distributed. Repair times of the component, fixing times …