On the Finite Buffer Queue with Renewal Input and Batch Markovian Service Process: GI/BMSP/1/N

被引:0
|
作者
A. D. Banik
M. L. Chaudhry
U. C. Gupta
机构
[1] Indian Institute of Technology,Department of Mathematics
[2] Royal Military College of Canada,Department of Mathematics and Computer Science
关键词
Batch Markovian service process; General independent arrival; Queue; Finite buffer; 60K25; 90B22; 68M20;
D O I
暂无
中图分类号
学科分类号
摘要
We consider a finite-buffer single-server queue with renewal input where the service is provided in batches of random size according to batch Markovian service process (BMSP). Steady-state distribution of number of customers in the system at pre-arrival and arbitrary epochs have been obtained along with some important performance measures. The model has potential applications in the areas of computer networks, telecommunication systems, and manufacturing systems, etc.
引用
收藏
页码:559 / 575
页数:16
相关论文
共 50 条
  • [31] Single server queues with a batch Markovian arrival process and bulk renewal or non-renewal service
    Banik, A. D.
    [J]. JOURNAL OF SYSTEMS SCIENCE AND SYSTEMS ENGINEERING, 2015, 24 (03) : 337 - 363
  • [32] Single server queues with a batch Markovian arrival process and bulk renewal or non-renewal service
    A. D. Banik
    [J]. Journal of Systems Science and Systems Engineering, 2015, 24 : 337 - 363
  • [33] SINGLE SERVER QUEUES WITH A BATCH MARKOVIAN ARRIVAL PROCESS AND BULK RENEWAL OR NON-RENEWAL SERVICE
    A.D.Banik
    [J]. Journal of Systems Science and Systems Engineering, 2015, 24 (03) : 337 - 363
  • [34] Retrial Tandem Queue with BMAP-Input and Semi-Markovian Service Process
    Klimenok, Valentina
    Dudina, Olga
    Vishnevsky, Vladimir
    Samouylov, Konstantin
    [J]. DISTRIBUTED COMPUTER AND COMMUNICATION NETWORKS (DCCN 2017), 2017, 700 : 159 - 173
  • [35] Analysis of finite-buffer discrete-time batch-service queue with batch-size-dependent service
    Banerjee, A.
    Gupta, U. C.
    Goswami, V.
    [J]. COMPUTERS & INDUSTRIAL ENGINEERING, 2014, 75 : 121 - 128
  • [36] Finite buffer renewal input multiple exponential vacations queue with accessible and non-accessible batches
    Laxmi, P. Vijaya
    Goswami, V.
    Yesuf, O. M.
    [J]. INTERNATIONAL JOURNAL OF MANAGEMENT SCIENCE AND ENGINEERING MANAGEMENT, 2010, 5 (03) : 227 - 234
  • [37] Genetic Cost Optimization of the GI/M/1/N Finite-Buffer Queue with a Single Vacation Policy
    Gabryel, Marcin
    Nowicki, Robert K.
    Wozniak, Marcin
    Kempa, Wojciech M.
    [J]. ARTIFICIAL INTELLIGENCE AND SOFT COMPUTING, PT II, 2013, 7895 : 12 - +
  • [38] On finite-buffer batch-size-dependent bulk service queue with queue-length dependent vacation
    Gupta, G. K.
    Banerjee, A.
    Gupta, U. C.
    [J]. QUALITY TECHNOLOGY AND QUANTITATIVE MANAGEMENT, 2020, 17 (05): : 501 - 527
  • [39] Complete analysis of finite and infinite buffer GI/MSP/1 queue -: A computational approach
    Gupta, U. C.
    Banik, A. D.
    [J]. OPERATIONS RESEARCH LETTERS, 2007, 35 (02) : 273 - 280
  • [40] The analysis of a discrete time finite-buffer queue with working vacations under Markovian arrival process and PH-service time
    Ye, Qingqing
    Liu, Liwei
    Jiang, Tao
    Chang, Baoxian
    [J]. RAIRO-OPERATIONS RESEARCH, 2020, 54 (03) : 675 - 691