Comparative Analysis of System with Warm Standbys, Detection Delay, Standby Switching Failure, Reboot Delay and General Repair Times

• Main Authors: Bo-Rong Lu, 盧柏蓉
• Other Authors: 柯志斌
• Format: Others
• Language: zh-TW
• Published: 2008
• Online Access: http://ndltd.ncl.edu.tw/handle/23148983440460320740

碩士 === 國立中興大學 === 應用數學系所 === 96 === In this thesis, we discuss the unavailability characteristics among four different configurations with warm standby units in which detection delay, standby switching failures and reboot delay are considered. The four configurations are studied under the assumption that the time-to-breakdown and time-to-repair of active (or standby) units are exponentially and generally distributed, respectively. The detection rate and the reboot rate are assumed to be exponentially distributed with parameter and , respectively. It is assumed that the process in switching a standby unit to be an active unit may experience a failure probability of q. We provide a systematic matrix method, using the supplementary variable technique to develop the steady-state unavailability, UAv, for four configurations and perform comparisons with three various repair time distributions, such as exponential, k-stage Erlang and deterministic. The sensitivity analyses for UAv with each parameter of the system are also studied.