| AVAILABILITY ANALYSIS OF THE QUEUEING SYSTEM GI/PH/I WITH SERVER BREAKDOWNS |
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| 作者姓名： | YUAN Xueming |
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| 作者单位： | YUAN Xueming
(Institute of Applied Mathematics，Chinese Academy of Sciences，Beijing 100080，China; Singapore Institute of Manufacturing Technology，71 Nanyang Drive，Singapore 638075)
LI Wei
(Institute of Applied Mathematics，Chinese Academy of Sciences，Beijing 100080，China; Department of Electrical Engineering and Computer Science，University of Toledo，Toledo OH 43606，USA) |
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| 摘 要： | In the existing literature of Repairable Queueing Systems (RQS), i.e., queueing systems with server breakdowns, it is almost all assumed that interarrival times of successive customers are independent, identically exponentially distributed. In this paper, we deal with more generic system GI/PH/1 with server's exponential uptime and phase-type repair time. With matrix analysis theory, we establish the equilibrium condition and the characteristics of the system, derive the transient and stationary availability behavior of the system.
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AVAILABILITY ANALYSIS OF THE QUEUEING SYSTEM GI/PH/I WITH SERVER BREAKDOWNS |
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| YUAN Xueming.AVAILABILITY ANALYSIS OF THE QUEUEING SYSTEM GI/PH/I WITH SERVER BREAKDOWNS[J].Journal of Systems Science and Complexity,2003(2). |
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| Authors: | YUAN Xueming |
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| Abstract: | In the existing literature of Repairable Queueing Systems (RQS), i.e., queueing systems with server breakdowns, it is almost all assumed that interarrival times of successive customers are independent, identically exponentially distributed. In this paper, we deal with more generic system GI/PH/1 with server's exponential uptime and phase-type repair time. With matrix analysis theory, we establish the equilibrium condition and the characteristics of the system, derive the transient and stationary availability behavior of the system. |
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| Keywords: | Repairable queueing systems transient behavior stationary behavior Markov renewal processes |
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