Busy period analysis for the n-policy GI/M/c queue

被引:0
|
作者
Kyung Chul Chae
Dae Eun Lim
机构
[1] KAIST,Department of Industrial Engineering
关键词
primary 60K25; secondary 90B22; Partial busy period; Idle period; Cycle analysis; threshold policy; Multi-server queue;
D O I
暂无
中图分类号
学科分类号
摘要
We consider the busy period in the n-policy GI/M/c queue. We present a procedure to obtain the joint transform of the length of a busy period, the number of customers served during the busy period, and the remaining interarrival time at the instant the busy period ends.
引用
收藏
页码:285 / 290
页数:5
相关论文
共 50 条
  • [1] Busy period analysis for the n-policy GI/M/c queue
    Chae, Kyung Chul
    Lim, Dae Eun
    [J]. JOURNAL OF THE KOREAN STATISTICAL SOCIETY, 2008, 37 (03) : 285 - 290
  • [2] The Busy Period of the M/GI/∞ Queue
    D.J. Daley
    [J]. Queueing Systems, 2001, 38 : 195 - 204
  • [3] The busy period of the M/GI/∞ queue
    Daley, DJ
    [J]. QUEUEING SYSTEMS, 2001, 38 (02) : 195 - 204
  • [4] Analysis of the GI/Geo/1 queue with N-policy
    Lim, Dae-Eun
    Lee, Doo Ho
    Yang, Won Seok
    Chae, Kyung-Chul
    [J]. APPLIED MATHEMATICAL MODELLING, 2013, 37 (07) : 4643 - 4652
  • [5] Busy period analysis for the GI/M/1 queue with exponential vacations
    Chae, Kyung C.
    Kim, Sung J.
    [J]. OPERATIONS RESEARCH LETTERS, 2007, 35 (01) : 114 - 118
  • [6] Analysis of the GI/M/c queue with N-threshold policy
    Barbhuiya, F. P.
    Kumar, Nitin
    Gupta, U. C.
    [J]. QUALITY TECHNOLOGY AND QUANTITATIVE MANAGEMENT, 2022, 19 (04): : 490 - 510
  • [7] ANALYSIS OF AN N-POLICY GI/M/1 QUEUE IN A MULTI-PHASE SERVICE ENVIRONMENT WITH DISASTERS
    Jiang, Tao
    Ammar, Sherif I.
    Chang, Baoxian
    Liu, Liwei
    [J]. INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE, 2018, 28 (02) : 375 - 386
  • [8] Analysis of the busy period for the M/M/c queue:: An algorithmic approach
    Artalejo, JR
    Lopez-Herrero, MJ
    [J]. JOURNAL OF APPLIED PROBABILITY, 2001, 38 (01) : 209 - 222
  • [9] Busy period analysis for the GI/M/1 queue with phase-type vacations
    Kilhwan Kim
    Won Seok Yang
    [J]. Journal of the Korean Statistical Society, 2011, 40 : 55 - 62
  • [10] Algorithmic analysis of the maximum queue length in a busy period for the M/M/c retrial queue
    Artalejo, Jesus R.
    Econornou, Antonis
    Lopez-Herrero, M. J.
    [J]. INFORMS JOURNAL ON COMPUTING, 2007, 19 (01) : 121 - 126