| 两个修理工的M/M/2可修排队系统 |
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| 引用本文： | 吕胜利,李静铂,岳德权. 两个修理工的M/M/2可修排队系统[J]. 数学物理学报(A辑), 2008, 28(6): 1109-1118 |
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| 作者姓名： | 吕胜利 李静铂 岳德权 |
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| 作者单位： | [1]燕山大学理学院,秦皇岛066004 [2]河北科技师范学院数学系,秦皇岛066004 |
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| 基金项目： | 国家自然科学基金(70671088)、河北省自然科学基金 (A2004000185)和燕山大学博士基金(B258) 资助 |
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| 摘 要： | 该文研究两个修理工的M/M/2可修排队系统, 系统有两个相同的服务台, 服务台忙时与闲时故障率不同. 文中给出系统的稳态状态概率, 系统的稳态可用度及系统的稳态平均队长, 并给出系统稳态概率存在的条件.
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| 关 键 词： | 可修排队 稳态分布存在条件 稳态可用度 队长 |
| 收稿时间： | 2006-11-30 |
| 修稿时间： | 2008-08-01 |
The M/M/2 Repairable Queue System with Two Repairmen |
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| Lv Shengli,Li Jingbo,Yue Dequan. The M/M/2 Repairable Queue System with Two Repairmen[J]. Acta Mathematica Scientia, 2008, 28(6): 1109-1118 |
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| Authors: | Lv Shengli Li Jingbo Yue Dequan |
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| Affiliation: | (1.College of Science Yanshan University, Qinhuangdao 66004; 2.$Department of Mathematic Hebei Normal University of Science and Technology, Qinhuangdao 066004) |
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| Abstract: | In this paper, we consider the M/M/2 queueing system with service interruptions. The rates of server breakdown are different between busy time and idle time, and there are two repairmen in the system. We obtain the steady-state probabilities of the states, the steady-state availability and the steady-state queueing length, give the condition for the existence of the steady-state probabilities. |
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| Keywords: | Repairable queueing systemzz Steady-state conditionzz Reliabilityzz Queueing lengthzz |
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