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Comparative analysis of series systems with two different types of tandem repair queue
|關鍵字:||Tandem repair queue|
Warm standby components.
|引用:|| Cohen J W (1969) The single server queue. North-Holland, Amsterdam.  Cox D R (1955) The analysis of non-Markovian stochastic processes by inclusion of supplementary variables. Proceedings of the Cambridge Philosophical Society 51: 433-441.  Gross D and Harris C M (1998) Fundamentals of queueing theory. 3th edition. John Wiley & Sons, New York.  Grosh D L (1989) A primer of reliability theory. John Wiley & Sons, New York.  Galikowsky C, Sivazlian B D and Chaovalitwongse P (1996) Optimal redundancies for reliability and availability of series system . Microelectronics and reliability 36:1537-1546.  Hokstad P (1975) A supplementary variable technique applied to the M/G/1 queue. Scand J. Statist 2:95-98.  Resing J and Ormeci L (2003) A tandem queueing model with couple processors. Operations Research Letters, 31:383-389.  Resing J and van Leeuwaarden J (2004) A tandem queueing model with couple processors: computational issues.  Robertazzi T G (2000) Computer networks and system (queueing theory and performance evaluation). Springer.  Wang K H, Chiu L W (2006) Cost benefit analysis of availability systems with warm standby units and imperfect coverage. Applied Mathematics and Computation 172: 1239-1256.  Wang K H, Lin Y C and Pearn W L (2005) Cost benefit analysis of series system with warm standby components and general repair time. Mathematical Method of Operations Research.|
|摘要:||In this thesis, we study the unavailability analysis of three different configurations with warm standby units in two different types of tandem repair queue, i.e. G-M type and M-G type. The G-M type is that the repair time of the first station (G-station) is general distribution and of the second station is exponential distribution. The M-G type, on the contrary, is that the repair time of the first station is exponential distribution and of the second station (G-station) is general distribution. The breakdown times of the primary and standby units are assumed to be exponentially distributed. We provide a systematic matrix method, using supplementary variable technique to develop the steady-state unavailability (UAV) for three configurations. For each configuration, we present some explicit expressions of the UAV for four various repair time distributions for the G-station which are exponential, gamma, uniform and deterministic. We also study the impact of the order of the two repair stations and the effects of various system parameters on the UAV.|
|Appears in Collections:||應用數學系所|
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