| 同步N—策略多重休假M／M／c排队 |
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| 引用本文： | 夏茂辉,田乃硕.同步N—策略多重休假M／M／c排队[J].运筹学学报,1997,1(2):86-94. |
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| 作者姓名： | 夏茂辉 田乃硕 |
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| 作者单位： | 燕山大学数学系!秦皇岛，066004，燕山大学数学系!秦皇岛，066004 |
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| 摘 要： | 研究了具有同步N-策略多重休假的M／M／c排队系统．在休假时间服从相型（PH）分布的假设下，给出了系统的稳态指标．证明在已知服务台全忙并且系统中顾客数大于或等于N的条件下，条件随机变量可分解成独立随机变量之和，其中一个是无休假经典M／M／c系统中的对应条件变量，另一个是休假引起的附加随机变量
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| 关 键 词： | M／M／c排队 N-策略 休假 PH分布 随机分解 |
The M/M/c Queue with Synchronous N-policy and Multiple Vacations |
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| MAOHUI XIA, NAISHUO TIAN.The M/M/c Queue with Synchronous N-policy and Multiple Vacations[J].OR Transactions,1997,1(2):86-94. |
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| Authors: | MAOHUI XIA NAISHUO TIAN |
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| Abstract: | We consider the M/M/c queueing systemwith synchronous N-policy and multiple vacations, where the vacation time is assumed to be a phase type (PH) variable. We obtain stationary performance for this system. We show some conditional variables, conditioned by all of servers are busy and number of coustomers in the system is greater than or equal to N, are composed of the sum of two independent variables, one of these is the corresponding conditional variable in the classical M/M/c system without vacation. |
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| Keywords: | M/M/c queue phase type distribution N-policy vacation stochastic decomposition |
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