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具有二次可选服务反馈的M^X/G/1(E,SV)排队系统 被引量：3

On M^X/G/1(E,SV) with feedback and optional service based on multiple vacation
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摘要 研究了批量到达的具有第二次可选择服务且两次服务均可反馈的单重休假排队系统.建立了休假、反馈、可选服务多类型的排队模型.采用补充变量法,首先建立了系统稳态下的状态转移方程,通过求解得到了稳态下系统队长的概率母函数,进而计算出稳态下系统的平均队长.对稳态队长进行分析之后,又给出了稳态队长的随机分解定理,其中给出了附加队长的明确概率解释. A single server queue with batch arrivals and second optional general service time distribution was discussed. A multi-type queuing system including vacation, feedback and optional services was set up. A supplementary variable technique is used to obtain the steady-state function and the steady-state probability generation function of the number of customers in the system. The mean number of customers and stochastic decomposition of the number of customers in the system are obtained.
作者 朱翼隽 王成全 陈燕
机构地区 江苏大学理学院 常州信息职业技术学院
出处 《江苏大学学报（自然科学版）》 EI CAS 北大核心 2007年第4期362-365,共4页 Journal of Jiangsu University：Natural Science Edition
基金 国家自然科学基金资助项目(70571030 10571076) 江苏大学科研启动基金资助项目(04JDG032)
关键词 休假排队 随机分解 补充变量法 批量到达 第二次可选服务 反馈 vacation queue stochastic decomposition supplementary variable technique bulk-arrive second optional service feedback
分类号 O226 [理学—运筹学与控制论]
  • 相关文献

参考文献5

  • 1Madan K C,Mohammad Al-Rawwash.On the MX/G/1 queue with feedback and optional server vacations based on a single vacation policy[J].Applied Mathematics and Computation,2005,60:909-919.
  • 2尹小玲,邓永录,刘国柱.具有第二次多选择服务的M^[x]／G／1排队系统[J].应用数学与计算数学学报,2003,17(1):41-53. 被引量：14
  • 3Madan K C.On a single server queue with two-stage heterogeneous service and binomial,schedule server vacations[J].Egyptian Statist J,2000,40 (1):39-55.
  • 4Madan K C.On a single server vacation queue with twostage heterogeneous service and deterministic server vacations[J].Int J Syst Sci,2001,32 (7):837-844.
  • 5朱翼隽,张峰.具有两种不同服务的可修M^X/G(M/M)/1排队系统[J].江苏大学学报（自然科学版）,2005,26(B12):51-53. 被引量：10

二级参考文献11

  • 1赵国喜,朱翼隽,庄斌.不耐烦等待信元的优先权排队[J].江苏大学学报（自然科学版）,2003,24(6):5-8. 被引量：12
  • 2邓永录.随机模型及萁应用[M].北京:高等教育出版社,1994..
  • 3Choudry Madan. A two phase batch arrival queueing systems with a vacation time under bernolli schedule [ J ].Apllied Mathematics and computation, 2004,149 : 337 -349.
  • 4Lee S S, Srinivasan M M. Control policies for the M^X/G/1 queueing system Mgmt[ J]. Sci, 1998,35 (6) :708-721.
  • 5Baba Y. On the M^X/G/1 queue with without vacation time under nonpreemptive last-come first-served discipline[ J]. Journal of the Operations Research Society of Japan, 1987,30 : 150 - 159.
  • 6Chaudhry M L. The queueing system M^X/G/1 and its ramification [ J ]. Naval Research Logistics Quarterly,1997,26:667 - 674.
  • 7Madan.K.C., An M/G/1 Queueing with Compulsory Vacations, Trabajos de Investigacion Opeerativa 1(7)(1992)105-155.
  • 8Yutaka Baba, On M/G/1 Queues with the First N Customers of Each Busy Period Receiving Exceptional Services, Journal of Operations Research Society of Japan, 42(1999),490-500.
  • 9Krishna Kumar B. and Arivudainambi D.,The M/G/1 Retrial Queue with Bernoulli Schedules and General Retrial Times,Computers and Mathematics with Applications 43(2002),15-30.
  • 10Madan.K.C., An M/G/1 Queue with Second Optional Service, Queuing Systems 34(2000),37-46.

共引文献22

同被引文献13

  • 1田乃硕.休假随机服务系统[M].北京:北京大学出版社,2000:36-71.
  • 2MADAN K C.An M/G/1 queue with second optional service[J].Queuing Systems,2000,34:37-46.
  • 3Madan K C. An M/G/1 queue with second optional service[J]. Queueing Systems,2000,34:37-46.
  • 4Medhi J. A single server poisson input queue with a second optional channel[J]. Queueing Systems, 2002,42:239-242.
  • 5MEDHI J. A Single Server Poisson Input Queue with A Second Optional Channel[ J ]. Queueing Systems ,2002,42:239 - 242.
  • 6CHOUDHURY Gautam, PAUL Madhuchanda. A Batch Arrival Queue with an Additional Service Channel under N-policy [ J ]. Applied Mathematics and Computation, 2004, 156 ( 1 ): 115 - 130.
  • 7ARTALEJO J R,. Choudhury G. Steady State Analysis of an M/ G/I Queue with Repeated Attempts and Two-phase Service[ J]. Quality Technology. and Quantitative Management, 2004,1 ( 2 ) : 189 - 199.
  • 8CHOUDHURY Gautam, Tadj Lotfi. An M/G/I Queue with Two Phases of Services Subject to the Server Breakdown and Delayed Repair[ J ]. Applied Mathematical Modelling, 2009, 33 ( 6 ) : 2699 - 2709.
  • 9MADAN KC. An M/G/1 Queue with Second Optional Service[ J].Queueing Systems,2000,34:37 -46.
  • 10陈佩树,朱翼隽,徐洁.有启动失败和可选服务的M/G/1重试排队系统[J].大学数学,2008,24(6):109-115. 被引量：4

引证文献3

二级引证文献3

江苏大学学报（自然科学版）
2007年 第4期

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