Spring 2015
Seminars are held on Thursdays in Cullimore Hall. For questions about the seminar schedule, please contact Antai Wang.
Date: April 9, 2015
Speaker: George Mytalas
Department of Mathematical Sciences,
New Jersey Institute of Technology
Title: "An Overview in K-out-of-N Reliability Systems With Queue and Exact Analysis of a Two Class K-out-of-N System with Repair"
Abstract:
In this talk we derive the reliability of a system which consists by two independent set of components with finite population ni for i=1,2 and a single repair machine. Life times of components are independent exponentially distributed random variables with certain parameter. Each of the sets fails the moment the number of functional components falls to specific threshold. One may consider system, as extension of a k-out-of-n system with repairs where we assume two set of components i=1,2. The system operates under the (N1,N2)-policy, meaning that server activated for exhaustive repairs as soon as the number of failed components in set i reaches Ni for i=1,2. The repaired components are assumed to be as good as new. The repair times of components and the life times are assumed to be independent of each other. Reliability of the system is computed for different modifications of the model and several other system characteristics are derived.