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Abstract
In this paper, we study the reliability measures of a repairable system with M operating units, W warm standby units, and R repairmen in which switching failures and reboot delay are considered. It is assumed that there is a significant failure probability q in the switching process. Failure times of an operating unit and of a standby unit are assumed to be exponentially distributed with parameters 1 and a, respectively. The delay times of reboot are also assumed to be exponentially distributed with parameter p. The explicit expressions of the reliability characteristics such as the system reliability, R Y (t), and the mean time to system failure (MTTF) are derived. Several cases are analyzed graphically to investigate the effects of various system parameters on the R Y (t) and the MTTF. We also perform a sensitivity analysis for the reliability characteristics along with changes in specific values of the system parameters.
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Notes on contributors
Ke Jyh-Bin
Jyh-Bin Ke is an Associate Professor of Applied Mathematics at National Chung-Hsing University, Taiwan. He received his MS and Ph.D. in Civil Engineering from the University of California, Berkeley, USA. His areas of research include queuing theory, reliability and stochastic modeling. His publications appeared in Computers and Operational Research, Applied Mathematical Modeling, Mathematical Methods of Operations Research, Applied Mathematics and Computation, International Journal of Advanced manufacturing Technology, Physica A and others.
Chen Jyh-Wei
Jyh-Wei Chen received his MS degree from the department of Applied Mathematic at national Chung-Hsing University Taiwan. His research interests are in statistics and queuing theory.
Wang Kuo-Hsiung
Kuo-Hsiung Wang is a Professor of Applied Mathematics at National Chung-Hsing University, Taiwan. He received his MA in Mathematics from the State University of New York at Buffalo, USA, and his MS and Ph.D. in Industrial and Systems Engineering from the University of Florida, USA. His areas of research include operation research, queuing theory, reliability and stochastic modeling. His publications appeared in Microelectronics and Reliability, Naval Research Logistics, Journal of the Operational Research Society, European Journal of Operation Research, Computers and Operational Research, Computers on Industrial Engineering, Applied Mathematical Modeling, Mathematical Methods of Operations Research, Omega, Applied Mathematics and Computation, International Journal of Advanced manufacturing Technology and others.