Modeling of Retrial Queueing System GI/G/m/0/ /1/G by the Monte Carlo Method

被引:0
|
作者
Dyshliuk, O. N. [1 ]
Koba, E. V. [2 ]
Pustova, S. V. [3 ]
机构
[1] Natl Aviat Univ, Dept Comp Control Syst, Kiev, Ukraine
[2] Natl Acad Sci Ukraine, VM Glushkov Cybernet Inst, Kiev, Ukraine
[3] Natl Aviat Univ, Kiev, Ukraine
关键词
multichannel retrial queueing system; recurrent input flow; orbit of single capacity; distribution functions; intervals between moments of calls arrival; service and sojourn times of retrials; algorithm of statistical modeling; estimate of stationary probability of calls loss;
D O I
10.1615/JAutomatInfScien.v45.i10.20
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Multichannel retrial queueing system GI/G/m/0/ /1/G (with recurrent input flow and orbit of single capacity) is under consideration. Distribution functions of intervals between moments of calls arrival to system, service and sojourn times of retrials have general form. We suggest algorithm of statistical modeling of such system in order to estimate stationary probability of calls loss. Numerical and graphical results are given.
引用
收藏
页码:5 / 13
页数:9
相关论文
共 50 条
  • [1] An M/G/1 Bernoulli feedback retrial queueing system with negative customers
    Kumar, B. Krishna
    Madheswari, S. Pavai
    Lakshmi, S. R. Anantha
    OPERATIONAL RESEARCH, 2013, 13 (02) : 187 - 210
  • [2] An M/G/1 Bernoulli feedback retrial queueing system with negative customers
    B. Krishna Kumar
    S. Pavai Madheswari
    S. R. Anantha Lakshmi
    Operational Research, 2013, 13 : 187 - 210
  • [3] Two phase of service in M/G/1 queueing system with retrial customers
    Keerthiga, Sekar
    Indhira, Kandaiyan
    JOURNAL OF ANALYSIS, 2024, 32 (04): : 2157 - 2183
  • [4] Analysis of the M1, M2/G/1 G-queueing system with retrial customers
    Wu, Jinbiao
    Lian, Zhaotong
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2013, 14 (01) : 365 - 382
  • [5] Proposal of Approximation Analysis Method for GI/G/1 Queueing System
    Kong, Fangfang
    Nakase, Ippei
    Arizono, Ikuo
    Takemoto, Yasuhiko
    INDUSTRIAL ENGINEERING AND MANAGEMENT SYSTEMS, 2008, 7 (02): : 143 - 149
  • [6] A Geo/G/1 retrial queueing system with priority services
    Atencia, I.
    EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2017, 256 (01) : 178 - 186
  • [7] Analysis of the M/G/1 retrial queueing model with server breakdowns
    Geni Gupur
    Journal of Pseudo-Differential Operators and Applications, 2010, 1 : 313 - 340
  • [8] Retrial Queueing System M / M / 1 / 0 with Combined Service Discipline
    Koba E.V.
    Cybernetics and Systems Analysis, 2017, 53 (03) : 387 - 391
  • [10] An M/G/1 retrial queueing system with two-phase service and preemptive resume
    Kumar, BK
    Vijayakumar, A
    Arivudainambi, D
    ANNALS OF OPERATIONS RESEARCH, 2002, 113 (1-4) : 61 - 79