Two-Unit Redundant System with Detection Delay and Imperfect Coverage: Confidence Interval Estimation

Abstract

This paper studies asymptotic confidence limits for the steady-state availability, failure frequency, and mean time to failure of a two-unit parallel repairable system. We consider a very realistic problem for this redundant system, in which the system performance measures depend heavily on the effectiveness of recovery mechanisms including failure detection and failure coverage.

Key Words:

• Availability
• confidence limits
• detection delay
• imperfect coverage
• MTTF

Additional information

Notes on contributors

Ke Jau-Chuan

Jau-Chuan Ke is a Professor of Applied Statistics at National Taichung Institute of Technology, Taiwan. He received his M.S. in Applied Mathematics at National Cheng-Kung University, Taiwan, and his Ph.D. in Applied Mathematics at National Chung-Hsing University, Taiwan. His research interests include reliability, statistics, and queueing theory.

Lee Ssu-Lang

Ssu-Lang Lee is an Associate Professor of Department of Accounting at National Taichung Institute of Technology, Taichung, Taiwan. He has completed his Ph.D. degree in Business Administration from the Department of Business Administration, National Taipei University. His research interests include queueing theory, Bayesian estimation, simulation, and multivariate statistics. He has published several articles in refereed journals, including the Computers and Mathematics with Applications, Communications in Statistics — Simulation and Computation, Simulation Modeling Practice and Theory, Journal of Statistical Computation and Simulation, and the American Journal of Applied Science.

Ko Ming-Yang

Ming-Yang Ko is an Associate Professor of Department of Accounting at National Taichung Institute of Technology, Taichung, Taiwan. He has recently completed his Ph.D. degree in management from the Department of Industrial Management, National Taiwan University of Science and Technology. His research interests include queueing theory, applied probability, regression analysis, and industrial statistics (reliability, design of experiment). He is a member of Operations Research Society of Taiwan.