Transient Analysis of an M/M/1 Queue with Multiple Vacations

被引:9
|
作者
Kalidass, Kaliappan [1 ]
Ramanath, Kasturi [1 ]
机构
[1] Madurai Kamaraj Univ, Sch Math, Madurai 625021, Tamil Nadu, India
关键词
Markovian queue; Transient probabilities; Multiple vacations; Performance measures;
D O I
10.18187/pjsor.v10i1.335
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
In this paper, we have obtained explicit expressions for the time dependent probabilities of the M/M/1 queue with server vacations under a multiple vacation scheme. The corresponding steady state probabilities have been obtained. We also obtain the time dependent performance measures of the systems.
引用
收藏
页码:121 / 130
页数:10
相关论文
共 50 条
  • [41] A transient symmetry analysis for the M/M/1/k queue
    William A. Massey
    Emmanuel Ekwedike
    Robert C. Hampshire
    Jamol J. Pender
    Queueing Systems, 2023, 103 : 1 - 43
  • [42] The bulk input M[X] /M/1 queue with working vacations
    Xiu-li Xu
    Ming-xin Liu
    Xiao-hua Zhao
    Journal of Systems Science and Systems Engineering, 2009, 18 : 358 - 368
  • [43] THE BULK INPUT M~[X]/M/1 QUEUE WITH WORKING VACATIONS
    Xiu-li XU1 Ming-xin LIU2 Xiao-hua ZHAO1 1 College of Science
    JournalofSystemsScienceandSystemsEngineering, 2009, 18 (03) : 358 - 368
  • [44] Transient Analysis of an M/M/1 queue with Multiple Exponential Vacation and N-Policy
    Vijayashree, K. V.
    Janani, B.
    PAKISTAN JOURNAL OF STATISTICS AND OPERATION RESEARCH, 2015, 11 (04) : 587 - 600
  • [45] General decrementing service M/G/1 queue with multiple adaptive vacations
    Ma, Zhanyou
    Xu, Qingzhen
    APPLIED MATHEMATICS AND COMPUTATION, 2008, 204 (01) : 478 - 484
  • [46] Busy period analysis for the GI/M/1 queue with exponential vacations
    Chae, Kyung C.
    Kim, Sung J.
    OPERATIONS RESEARCH LETTERS, 2007, 35 (01) : 114 - 118
  • [47] Fluid model driven by an M/G/1 queue with multiple exponential vacations
    Mao, Bing-wei
    Wang, Fu-wei
    Tian, Nai-shuo
    APPLIED MATHEMATICS AND COMPUTATION, 2011, 218 (08) : 4041 - 4048
  • [48] The bulk input M[X]/M/1 queue with working vacations
    Xu, Xiu-li
    Liu, Ming-xin
    Zhao, Xiao-hua
    JOURNAL OF SYSTEMS SCIENCE AND SYSTEMS ENGINEERING, 2009, 18 (03) : 358 - 368
  • [49] Transient analysis of an M/M/1 queueing system subject to differentiated vacations
    Vijayashree, K. V.
    Janani, B.
    QUALITY TECHNOLOGY AND QUANTITATIVE MANAGEMENT, 2018, 15 (06): : 730 - 748
  • [50] PRIORITIES IN M/G/1 QUEUE WITH SERVER VACATIONS
    KELLA, O
    YECHIALI, U
    NAVAL RESEARCH LOGISTICS, 1988, 35 (01) : 23 - 34