| 带有故障的休假排队模型 |
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| 引用本文： | 康雅青,吕胜利,李京艳,王玉.带有故障的休假排队模型[J].数学的实践与认识,2011,41(14). |
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| 作者姓名： | 康雅青 吕胜利 李京艳 王玉 |
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| 作者单位： | 燕山大学理学院,河北秦皇岛,066004 |
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| 基金项目： | 国家自然科学基金(71071133) |
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| 摘 要： | 研究了一个复合的休假排队模型,工作或休假时服务台都有可能故障,服务台一旦修好可立即进行服务,而且每个忙期结束就开始一次休假,顾客到达服从Poisson过程,到达率依赖于系统状态,修理时间、服务时间和休假长度都服从指数分布.给出了系统状态的平衡方程,利用概率母函数求出队长,并做了数值分析.
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| 关 键 词： | 休假排队 故障 平衡方程 队长 |
A Vacation Queueing Model with Breakdowns |
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| KANG Ya-qing,LV Sheng-li,LI Jing-yan,WANG Yu.A Vacation Queueing Model with Breakdowns[J].Mathematics in Practice and Theory,2011,41(14). |
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| Authors: | KANG Ya-qing LV Sheng-li LI Jing-yan WANG Yu |
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| Affiliation: | KANG Ya-qing,LV Sheng-li,LI Jing-yan,WANG Yu (College of Science,Yanshan University,Qinhuangdao 066004,China) |
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| Abstract: | In this paper we consider a multiple-vacation queueing model,where the service station is subject to breakdown while in operation or on vacation.Service resumes immediately after a repair process,and a vacation starts at the end of each busy period.Arrivals follow a Poisson process with rates depending upon the system state.The repair time,uninterrupted service time and length of each vacation follow exponential distributions.Give a balance equation of describing the system state,and obtain the mean queue l... |
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| Keywords: | vacation queue breakdown balance equation queue length |
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