On the extreme values of M/M/m queueing systems

被引：2
|
作者：
Matsak, Ivan K. [1 ]
机构：
[1] Taras Shevchenko Natl Univ Kyiv, 2-6 Academician Glushkov Ave, UA-03127 Kiev, Ukraine
来源：
GEORGIAN MATHEMATICAL JOURNAL | 2021年 / 28卷 / 06期
关键词：
Extreme values; M; m queueing system; limit theorem; MAXIMUM;
D O I：
10.1515/gmj-2021-2095
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The asymptotic behavior of extreme values of queueing systems is studied. For a system M/M/m, 1 <= m < infinity, the weak convergence of extreme values of an actual waiting time and a statement of the type of the law of the iterated logarithm are established.
引用
收藏
页码：917 / 924
页数：8
相关论文
共 50 条
  • [41] ON VALUES OF d(n!)/m!,φ(n!)/m! AND σ(n!)/m!
    Baczkowski, Daniel
    Filaseta, Michael
    Luca, Florian
    Trifonov, Ognian
    INTERNATIONAL JOURNAL OF NUMBER THEORY, 2010, 6 (06) : 1199 - 1214
  • [42] Performance Assessment of Vehicular Cloud Systems: An Analytical Approach Using M/G/m Queueing Model
    Abdolahi, Farzaneh
    Misic, Jelena
    Misic, Vojislav B.
    Chang, Xiaolin
    2024 IEEE INTERNATIONAL CONFERENCE ON SMART MOBILITY, SM 2024, 2024, : 177 - 182
  • [43] State-dependent M/G/1 queueing systems
    Abouee-Mehrizi, Hossein
    Baron, Opher
    QUEUEING SYSTEMS, 2016, 82 (1-2) : 121 - 148
  • [44] Analysis of customer behaviors in M/M/1 queueing systems with N-policy and working vacation
    Liu W.
    Ma Q.
    Li J.
    Li, Jihong (lijh1982@sxu.edu.cn), 1848, Systems Engineering Society of China (36): : 1848 - 1856
  • [45] State-dependent M/G/1 queueing systems
    Hossein Abouee-Mehrizi
    Opher Baron
    Queueing Systems, 2016, 82 : 121 - 148
  • [46] Waiting time distribution in M/D/1 queueing systems
    Iversen, VB
    Staalhagen, L
    ELECTRONICS LETTERS, 1999, 35 (25) : 2184 - 2185
  • [47] A table of the values of m corresponding to given values of phi(m).
    Carmichael, RD
    AMERICAN JOURNAL OF MATHEMATICS, 1908, 30 : 394 - 400
  • [48] Maximum entropy condition in queueing system M/M/1 : ∞/FCFS
    Singh, S. N.
    Jaiswal, Jyoti
    Tiwari, S. B.
    NATIONAL ACADEMY SCIENCE LETTERS-INDIA, 2007, 30 (7-8): : 237 - 242
  • [49] On the eigenvalues of the M/M/1 queueing model with second optional service
    Gupur, Geni
    JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS, 2014, 5 (03) : 359 - 410
  • [50] The multi server M/M/(s,S) queueing inventory system
    Anoop N. Nair
    M. J. Jacob
    A. Krishnamoorthy
    Annals of Operations Research, 2015, 233 : 321 - 333
12345