IAMINSTITUTE OF APPLIED MATHEMATICS


Reliability and Mean Residual Life Functions of Coherent Systems in an Active Redundancy

Konul Bayramoglu Kavlak

Department of Actuarial Sciences

Hacettepe University

Invited by: Bülent Karasözen

Place: IAM S212

Date/Time: 02.05.2017 -15.40

Abstract: In this talk the reliability and the mean residual life (MRL) functions of a system with active redundancies at the component and system levels are investigated. In active redundancy at the component level, the original and redundant components are working together and lifetime of the system is determined by the maximum of lifetime of the original components and their spares. In the active redundancy at the system level,the system has a spare, and the original and redundant systems work together. The lifetime of such a system is then the maximum of lifetimes of the system and its spare. The lifetimes of the original component and the spare are assumed to be dependent random variables. Key words. Coherent system, reliability function, active redundancy, bivariate order statistics, MRL functions.

Short Bio:

Konul Bayramoglu Kavlak took her B.Sc degree from Department of Statistics at Middle East Technical University, in 2006. Then, she attended the M.Sc program in Industrial Engineering Department at Bilkent University. She graduated from Bilkent University in 2009. She was awarded a grant by TÜBITAK in 2012 and she was a Research Fellow at The Ohio State University between 2012-2013. She received her doctoral degree in Statistics Department from Middle East Technical University in June 2014 . She was a Post Doctoral Visiting Scholar at the Department of Statistics at The Ohio State University between 2016-2017.  Currently, she is an Assistant Professor at the Department of Actuarial Sciences at Hacettepe University.  Her research interests focus mainly in statistics, probability, order statistics, reliability, and copulas. 

Event Date: 
2. May 2017 - 15:40 - 16:40