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对一类批量服务工作休假排队的分析

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对一类批量服务工作休假排队的分析 张宏波1, 王红蔚1, 史定华21. 河南财政金融学院统计与数学学院, 郑州 450046;
2. 上海大学理学院, 上海 200444 Analysis for a Working Vacation Queue with Batch Service ZHANG Hongbo1, WANG Hongwei1, SHI Dinghua21. School of Statistics and Mathematics, Henan Finance University, Zhengzhou 450046, China;
2. College of Science, Shanghai University, Shanghai 200444, China
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摘要本文讨论批量服务的M/M/1多重或单重工作休假排队,且假设在休假期或正规忙期每次服务掉的顾客数服从不同分布的随机变量.对该排队模型,用GI/M/1型Markov过程建模.通过求解该过程的联合平稳分布,得到了排队系统服务台平稳状态的详细刻画以及平稳队长分布的随机分解结果.
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收稿日期: 2019-03-04
PACS:O226
基金资助:河南省科技攻关计划(172102210242)资助项目.

引用本文:
张宏波, 王红蔚, 史定华. 对一类批量服务工作休假排队的分析[J]. 应用数学学报, 2020, 43(5): 781-791. ZHANG Hongbo, WANG Hongwei, SHI Dinghua. Analysis for a Working Vacation Queue with Batch Service. Acta Mathematicae Applicatae Sinica, 2020, 43(5): 781-791.
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http://123.57.41.99/jweb_yysxxb/CN/ http://123.57.41.99/jweb_yysxxb/CN/Y2020/V43/I5/781


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[2]余妙, 唐应辉, 付永红. 具有中途准入机制和多重休假的离散时间GI/Geom(a,b)/1/N早到排队系统[J]. 应用数学学报(英文版), 2011, 34(5): 853-872.



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