| 带负顾客的GI/Geom/1工作休假排队 |
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| 引用本文： | 郭晓琼,马占友.带负顾客的GI/Geom/1工作休假排队[J].郑州大学学报(理学版),2011,43(4):28-32. |
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| 作者姓名： | 郭晓琼 马占友 |
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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： | 河北省高等学校科学技术研究指导项目,编号Z2010182 |
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| 摘 要： | 考虑带负顾客的GI/Geom/1工作休假排队.负顾客一对一抵消正在服务的正顾客(若有),若系统中无正顾客,到达的负顾客自动消失,负顾客不接受服务.服务规则为先到先服务.工作休假策略为空竭服务多重工作休假.用矩阵几何解方法,求得到达前夕系统队长的稳态分布、队长分布的概率母函数及平均队长.
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| 关 键 词： | 离散时间排队 负顾客 工作休假 矩阵几何解 稳态分布 母函数 |
The GI/Geom/1 Queue with Negative Customers and Working Vacations |
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| GUO Xiao-qiong
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MA Zhan-you.The GI/Geom/1 Queue with Negative Customers and Working Vacations[J].Journal of Zhengzhou University:Natural Science Edition,2011,43(4):28-32. |
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| Authors: | GUO Xiao-qiong MA Zhan-you |
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| Institution: | GUO Xiao-qiong,MA Zhan-you(College of Science,Yanshan University,Qinhuangdao 066004,China) |
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| Abstract: | A GI/Geom/1 queue with negative customers and working vacations was discussed.Negative customers removed positive customers only one by one at the tail(if present).When a negative customer arrived,if the system was empty,it would disappear.Negative customers need no services.The serve rule was first come first served.The working vacation policy was exhaustive and multiple working vacations.By using matrix-geometric solution,the steady-state distributions were obtained for the number of customers in the syst... |
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| Keywords: | discrete-time queue negative customer working vacation matrix-geometric solution steady-state distribution generating function |
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