带负顾客和N-策略的Geo λ 1 ,λ 2 /Geo/1（MWV）排队系统分析及最优控制策略N *
发布时间：2021-04-12 18:24
分析了一个带有负顾客、N-策略控制的Geo/Geo/1多重工作休假排队系统,其中正顾客在工作休假及正规忙期以不同的到达率进入系统.利用拟生灭过程和矩阵几何解方法,给出了该模型的稳态队长分布及平均队长,以及系统分别处于假期和忙期的概率.同时,对该系统的忙期进行了分析,并讨论了稳态队长分布在系统容量的优化设计中的应用.最后,在给定的费用结构下,用数值计算例子确定了使系统长期单位时间内期望费用最小的最优控制策略N*.
【文章来源】：运筹学学报. 2017,21(03)北大核心CSCD
【文章页数】：12 页
【参考文献】：
期刊论文
[1]Queue Size Distribution of Geo/G/1 Queue Under the Min（N,D）-Policy[J]. GU Jianxiong,WEI Yingyuan,TANG Yinghui,YU Miaomiao. Journal of Systems Science & Complexity. 2016(03)
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[3]延迟D-策略Geo/G/1排队系统的队长分布及容量的优化设计[J]. 魏瑛源,唐应辉,顾建雄. 系统工程理论与实践. 2013(04)
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[5]RELIABILITY INDICES OF DISCRETE-TIME GeoX/G/1 QUEUEING SYSTEM WITH UNRELIABLE SERVICE STATION AND MULTIPLE ADAPTIVE DELAYED VACATIONS[J]. Yinghui TANG,Miaomiao YU,Xi YUN,Shujuan HUANG. Journal of Systems Science & Complexity. 2012(06)
[6]THE RECURSIVE SOLUTION OF QUEUE LENGTH FOR Geo/G/1 QUEUE WITH N-POLICY[J]. Chuanyi LUO,Yinghui TANG,Wei LI,Kaili XIANG. Journal of Systems Science & Complexity. 2012(02)
[7]具有负顾客到达和RCH移除策略的GI/D—MSP/1/N离散时间排队系统[J]. 余玅妙,唐应辉,付永红,刘强国. 系统工程理论与实践. 2011(09)
[8]Geom/G1,G2/1/1 REPAIRABLE ERLANG LOSS SYSTEM WITH CATASTROPHE AND SECOND OPTIONAL SERVICE[J]. Yinghui TANG School of Mathematics & Software Science,Sichuan Normal University,Chengdu 610066,China. Miaomiao YU School of Mathematics & Software Science,Sichuan Normal University,Chengdu 610066,China;School of Science,Sichuan University of Science and Engineering,Zigong 643000,China. Cailiang LI Department of Information and Computer Science,Chengdu Electro-Mechanical College,Chengdu 610032, China.. Journal of Systems Science & Complexity. 2011(03)
[9]延迟多重休假离散时间的Geomx/G/1可修排队系统—一些排队指标[J]. 唐应辉,余玅妙,李才良,黄蜀娟,云曦. 数学物理学报. 2011(02)
[10]The Recursive Solution for Geom/G/1（E,SV） Queue with Feedback and Single Server Vacation[J]. Chuan-yi Luo 1,Ying-hui Tang 2 1 School of Economic Mathematics,Southwestern University of Finance and Economics,Chengdu 610074,China 2 School of Mathematics and Software Science,Sichuan Normal University,Chengdu 610066,China. Acta Mathematicae Applicatae Sinica（English Series）. 2011(01)
本文编号：3133763
【文章来源】：运筹学学报. 2017,21(03)北大核心CSCD
【文章页数】：12 页
【参考文献】：
期刊论文
[1]Queue Size Distribution of Geo/G/1 Queue Under the Min（N,D）-Policy[J]. GU Jianxiong,WEI Yingyuan,TANG Yinghui,YU Miaomiao. Journal of Systems Science & Complexity. 2016(03)
[2]一个不同到达率及负顾客的离散工作休假排队[J]. 刘再明,于森林. 山东大学学报(理学版). 2015(06)
[3]延迟D-策略Geo/G/1排队系统的队长分布及容量的优化设计[J]. 魏瑛源,唐应辉,顾建雄. 系统工程理论与实践. 2013(04)
[4]带有负顾客和N-策略的Geo/Geo/1工作休假排队[J]. 郭宏侠,徐秀丽,耿杰. 重庆师范大学学报(自然科学版). 2013(01)
[5]RELIABILITY INDICES OF DISCRETE-TIME GeoX/G/1 QUEUEING SYSTEM WITH UNRELIABLE SERVICE STATION AND MULTIPLE ADAPTIVE DELAYED VACATIONS[J]. Yinghui TANG,Miaomiao YU,Xi YUN,Shujuan HUANG. Journal of Systems Science & Complexity. 2012(06)
[6]THE RECURSIVE SOLUTION OF QUEUE LENGTH FOR Geo/G/1 QUEUE WITH N-POLICY[J]. Chuanyi LUO,Yinghui TANG,Wei LI,Kaili XIANG. Journal of Systems Science & Complexity. 2012(02)
[7]具有负顾客到达和RCH移除策略的GI/D—MSP/1/N离散时间排队系统[J]. 余玅妙,唐应辉,付永红,刘强国. 系统工程理论与实践. 2011(09)
[8]Geom/G1,G2/1/1 REPAIRABLE ERLANG LOSS SYSTEM WITH CATASTROPHE AND SECOND OPTIONAL SERVICE[J]. Yinghui TANG School of Mathematics & Software Science,Sichuan Normal University,Chengdu 610066,China. Miaomiao YU School of Mathematics & Software Science,Sichuan Normal University,Chengdu 610066,China;School of Science,Sichuan University of Science and Engineering,Zigong 643000,China. Cailiang LI Department of Information and Computer Science,Chengdu Electro-Mechanical College,Chengdu 610032, China.. Journal of Systems Science & Complexity. 2011(03)
[9]延迟多重休假离散时间的Geomx/G/1可修排队系统—一些排队指标[J]. 唐应辉,余玅妙,李才良,黄蜀娟,云曦. 数学物理学报. 2011(02)
[10]The Recursive Solution for Geom/G/1（E,SV） Queue with Feedback and Single Server Vacation[J]. Chuan-yi Luo 1,Ying-hui Tang 2 1 School of Economic Mathematics,Southwestern University of Finance and Economics,Chengdu 610074,China 2 School of Mathematics and Software Science,Sichuan Normal University,Chengdu 610066,China. Acta Mathematicae Applicatae Sinica（English Series）. 2011(01)
本文编号：3133763
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