Analysis of BMAP/G/1 queue with reservation of service

被引：4
|
作者：
Kazimirsky, Arseniy V. [1 ]
机构：
[1] Belarusian State Univ, Dept Appl Math & Comp Sci, Lab Appl Probabilist Analysis, Minsk 220050, BELARUS
来源：
STOCHASTIC ANALYSIS AND APPLICATIONS | 2006年 / 24卷 / 04期
关键词：
Batch Markovian Arrival Process; queues with reservation of service;
D O I：
10.1080/07362990600751803
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we study BMAP/G /1 queue with service time distribution depending on number of processed items. This type of queue models the systems with the possibility of preliminary service. For the considered system, an efficient algorithm for calculating the stationary queue length distribution is proposed, and Laplace-Stieltjes transform of the sojourn time is derived. Little's law is proved. An optimization problem is considered.
引用
收藏
页码：703 / 718
页数：16
相关论文
共 50 条
  • [1] Analysis of the BMAP/G/1 queue with gated service and adaptive vacations duration
    Alexander N. Dudin
    Vladimir M. Vishnevsky
    Julia V. Sinjugina
    [J]. Telecommunication Systems, 2016, 61 : 403 - 415
  • [2] Analysis of the BMAP/G/1 queue with gated service and adaptive vacations duration
    Dudin, Alexander N.
    Vishnevsky, Vladimir M.
    Sinjugina, Julia V.
    [J]. TELECOMMUNICATION SYSTEMS, 2016, 61 (03) : 403 - 415
  • [3] Optimal control for a BMAP/G/1 queue with two service modes
    Dudin, AN
    Nishimura, S
    [J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 1999, 5 (03) : 255 - 273
  • [4] BMAP/G/1/N queue with vacations and limited service discipline
    Banik, A. D.
    Gupta, U. C.
    Pathak, S. S.
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2006, 180 (02) : 707 - 721
  • [5] Complete analysis of a queue in the BMAP|G|1|N| system
    Dudin, AN
    Shaban, AA
    Klimenok, VI
    [J]. ASMTA 2004: 11TH INTERNATIONAL CONFERENCE ON ANALYTICAL AND STOCHASTIC MODELLING TECHNIQUESAND APPLICATIONS, PROCEEDINGS, 2004, : 85 - 92
  • [6] Optimal multithreshold control for a BMAP/G/1 queue with N service modes
    A. Dudin
    [J]. Queueing Systems, 1998, 30 : 273 - 287
  • [7] Optimal multithreshold control for a BMAP/G/1 queue with N service modes
    Dudin, A
    [J]. QUEUEING SYSTEMS, 1998, 30 (3-4) : 273 - 287
  • [8] BMAP/G/1 queue under D-policy:: Queue length analysis
    Lee, HW
    Baek, JW
    [J]. STOCHASTIC MODELS, 2005, 21 (2-3) : 485 - 505
  • [9] Analysis of BMAP/MSP/1 Queue
    S. K. Samanta
    M. L. Chaudhry
    A. Pacheco
    [J]. Methodology and Computing in Applied Probability, 2016, 18 : 419 - 440
  • [10] Analysis of BMAP/MSP/1 Queue
    Samanta, S. K.
    Chaudhry, M. L.
    Pacheco, A.
    [J]. METHODOLOGY AND COMPUTING IN APPLIED PROBABILITY, 2016, 18 (02) : 419 - 440
12345