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一个修理工的M/M/N可修排队
The M/M/N Queue with Service Interruptions and a Single Repairman
【摘要】 研究了有一个修理工的,服务台忙时与闲时故障率不同的M/M/N可修排队,本文给出有效服务台数的稳态分布,稳态队长的母函数,当N=1时,所得结果与文献结果一致。
【Abstract】 In this paper we consider the system of M/M/N queue with service interruptions, the rates of server breakdown are different between busy time and idle time, and there is one repairman in the system. We derive the steady state distribution of the number of effective servers and the moment generating function of the steady state queue length, The results for N=1 are the same as that in reference .
【关键词】 可修排队;
队长;
稳态可用度;
母函数;
【Key words】 queue with service interruption; the expected queue length in steady state; steady state availability; moment generating function.;
【Key words】 queue with service interruption; the expected queue length in steady state; steady state availability; moment generating function.;
【基金】 燕山大学博士基金项目 No.2002131
- 【文献出处】 燕山大学学报 ,Journal of Yanshan University , 编辑部邮箱 ,2003年03期
- 【分类号】O226
- 【被引频次】46
- 【下载频次】185