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
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
  • [1] Asymptotic Behavior of Extreme Values of Queue Length in M / M / m Systems
    B. V. Dovhai
    I. K. Matsak
    Cybernetics and Systems Analysis, 2019, 55 : 321 - 328
  • [2] ASYMPTOTIC BEHAVIOR OF EXTREME VALUES OF QUEUE LENGTH IN M / M / m SYSTEMS
    Dovhai, B. V.
    Matsak, I. K.
    CYBERNETICS AND SYSTEMS ANALYSIS, 2019, 55 (02) : 321 - 328
  • [3] Pricing in Queueing Systems M/M/m with Delays
    Melnik, Anna V.
    CONTRIBUTIONS TO GAME THEORY AND MANAGEMENT, VOL VII, 2014, 7 : 214 - 220
  • [4] EXTREME VALUE DISTRIBUTION FOR M/G/1 AND G/M/1 QUEUEING SYSTEMS
    COHEN, JW
    ANNALES DE L INSTITUT HENRI POINCARE SECTION B-CALCUL DES PROBABILITES ET STATISTIQUE, 1968, 4 (01): : 83 - &
  • [5] M/M/1 Queueing systems with inventory
    Maike Schwarz
    Cornelia Sauer
    Hans Daduna
    Rafal Kulik
    Ryszard Szekli
    Queueing Systems, 2006, 54 : 55 - 78
  • [6] M/M/1 queueing systems with inventory
    Schwarz, Maike
    Sauer, Cornelia
    Daduna, Hans
    Kulik, Rafal
    Szekli, Ryszard
    QUEUEING SYSTEMS, 2006, 54 (01) : 55 - 78
  • [7] Entropy Estimation for M/M/1 Queueing Systems
    Regnault, Philippe
    BAYESIAN INFERENCE AND MAXIMUM ENTROPY METHODS IN SCIENCE AND ENGINEERING, 2012, 1443 : 330 - 337
  • [8] EXTREME VALUES OF QUEUE LENGTHS IN M/G/1 AND GI/M/1 SYSTEMS
    SERFOZO, RF
    MATHEMATICS OF OPERATIONS RESEARCH, 1988, 13 (02) : 349 - 357
  • [9] Bayesian sample sizes in an M/M/1 queueing systems
    Quinino, R. C.
    Cruz, F. R. B.
    INTERNATIONAL JOURNAL OF ADVANCED MANUFACTURING TECHNOLOGY, 2017, 88 (1-4): : 995 - 1002
  • [10] Bayesian sample sizes in an M/M/1 queueing systems
    R. C. Quinino
    F. R. B. Cruz
    The International Journal of Advanced Manufacturing Technology, 2017, 88 : 995 - 1002