| 带启动期的M/M/1/N单重工作休假排队系统 |
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| 引用本文： | 顾庆凤,朱翼隽.带启动期的M/M/1/N单重工作休假排队系统[J].山西大学学报(自然科学版),2011,34(2):208-214. |
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| 作者姓名： | 顾庆凤 朱翼隽 |
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| 作者单位： | 1. 浙江农林大学,理学院,浙江,临安,311300
2. 江苏大学,理学院,江苏,镇江,212013 |
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| 基金项目： | 浙江省教育厅资助项目(Y201016405); 浙江农林大学科研发展基金(2010FR067) |
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| 摘 要： | 研究了系统容量有限的带启动期的M/M/1/N单重工作休假排队系统.服务员在假期中不是完全停止服务,而是以较低的速率为顾客提供服务.利用马尔科夫过程理论建立了系统稳态概率满足的方程组,并利用矩阵解法给出了稳态概率的矩阵解并得到了系统的平均队长、平均等待队长以及顾客的平均消失概率等性能指标.
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| 关 键 词： | 单重工作休假 启动期 稳态概率 矩阵解法 |
M/M/1/N Queuing System with Single Working Vacations and Start-up Time |
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| GU Qing-feng,ZHU Yi-juan.M/M/1/N Queuing System with Single Working Vacations and Start-up Time[J].Journal of Shanxi University (Natural Science Edition),2011,34(2):208-214. |
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| Authors: | GU Qing-feng ZHU Yi-juan |
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| Institution: | GU Qing-feng1,ZHU Yi-juan2 |
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| Abstract: | We consider an M/M/1/N queue with single working vacations and start-up time.The server works at a lower rate rather than completely stops service during the vacation period.The steady-state probability equations was studied by Markov process method,moreover,the matrix form solution of the steady-state probability analyzed by metrix solution method.In addition,some performance measures of the system such as the expected number of the customers in the system or in the queue and the average loss probability o... |
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| Keywords: | single working vacations start-up time steady-state probability matrix solution method |
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