| 多重工作休假的M/M/c排队系统 |
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| 引用本文： | 朱翼隽,徐剑,周宗好.多重工作休假的M/M/c排队系统[J].江苏大学学报(自然科学版),2012,33(3):369-372. |
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| 作者姓名： | 朱翼隽 徐剑 周宗好 |
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| 作者单位： | 江苏大学理学院,江苏镇江,212013 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 在已研究的多服务台休假排队基础上,考虑到无线通信网络中服务台可以从节能状态唤醒到正常状态的机制,建立了带多重工作休假的M/M/c排队系统,在休假期间所有服务员并未完全停止工作而是以较慢的速率服务顾客,称之为同步工作休假,并且是同步N-策略多重工作休假规则,同时引入了另一种休假策略:休假可中止.采用拟生灭过程和矩阵几何解的方法对该模型进行了研究,得到了系统的稳态队长分布,表明了在服务台全忙条件下的条件随机分解.
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| 关 键 词： | 工作休假 N-策略 矩阵几何解 拟生灭过程 条件随机分解 |
M/M/c queue with multiple working vacation |
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| Zhu Yijun
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Xu Jian
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Zhou Zonghao.M/M/c queue with multiple working vacation[J].Journal of Jiangsu University:Natural Science Edition,2012,33(3):369-372. |
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| Authors: | Zhu Yijun Xu Jian Zhou Zonghao |
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| Affiliation: | (Faculty of Science,Jiangsu University,Zhenjiang,Jiangsu 212013,China) |
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| Abstract: | Based on the researched multi-server vacation queue,the M/M/c queue with multiple wor-king vacation was proposed with consideration of the server wakes from energy saving mechanism to normal state in wireless communication network.All servers work at a low rate rather than complete stop du-ring a vacation period,which means a synchronous N policy multiple working vacation.Another vacation policy of vacation interruption was introduced.Based on quasi birth and death process and matrix geometric solution method,the steady state distribution for queue length was obtained.The conditional stochastic decomposition structure of queue length was achieved under the condition that all servers were busy. |
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| Keywords: | working vacation N policy matrix geometric solution quasi birth and death process conditional stochastic decomposition |
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