Exact tail asymptotics for fluid models driven by an M/M/c queue

被引：6
|
作者：
Li, Wendi [1 ]
Liu, Yuanyuan [1 ]
Zhao, Yiqiang Q. [2 ]
机构：
[1] Cent South Univ, Sch Math & Stat, New Campus, Changsha 410083, Hunan, Peoples R China
[2] Carleton Univ, Sch Math & Stat, 1125 Colonel By Dr, Ottawa, ON K1S 5B6, Canada
来源：
QUEUEING SYSTEMS | 2019年 / 91卷 / 3-4期
基金：
中国国家自然科学基金; 加拿大自然科学与工程研究理事会;
关键词：
Fluid queue driven by an M / M / c queue; Kernel method; Exact tail asymptotics; Stationary distribution; Asymptotic analysis; AUGMENTED TRUNCATION APPROXIMATIONS; ERROR-BOUNDS;
D O I：
10.1007/s11134-019-09601-6
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this paper, we investigate exact tail asymptotics for the stationary distribution of a fluid model driven by the M/M/c queue, which is a two-dimensional queueing system with a discrete phase and a continuous level. We extend the kernel method to study tail asymptotics of its stationary distribution, and a total of three types of exact tail asymptotics are identified from our study and reported in the paper.
引用
收藏
页码：319 / 346
页数：28
相关论文
共 50 条
  • [31] Exact Tail Asymptotics for a Discrete-time Preemptive Priority Queue
    Song, Yang
    Liu, Zai-ming
    Dai, Hong-shuai
    ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2015, 31 (01): : 43 - 58
  • [32] Exact tail asymptotics in a priority queue-characterizations of the preemptive model
    Li, Hui
    Zhao, Yiqiang Q.
    QUEUEING SYSTEMS, 2009, 63 (1-4) : 355 - 381
  • [33] M/M/∞ TRANSIENCE: TAIL ASYMPTOTICS OF CONGESTION PERIODS
    Mandjes, Michel
    Roijers, Frank
    STOCHASTIC MODELS, 2009, 25 (04) : 614 - 647
  • [34] Tail asymptotics for M/M/c retrial queues with non-persistent customers
    Liu, Bin
    Wang, Xi
    Zhao, Yiqiang Q.
    OPERATIONAL RESEARCH, 2012, 12 (02) : 173 - 188
  • [35] Tail asymptotics for M/M/c retrial queues with non-persistent customers
    Bin Liu
    Xi Wang
    Yiqiang Q. Zhao
    Operational Research, 2012, 12 : 173 - 188
  • [36] Analysis of the fluid model driven by an M/PH/1 queue
    Xu, X. (xxl-ysu@163.com), 1600, Binary Information Press, Flat F 8th Floor, Block 3, Tanner Garden, 18 Tanner Road, Hong Kong (10):
  • [37] Fluid model driven by an m/m/1/n queue with single exponential vacation
    Mao, Bing-Wei
    Wang, Fu-Wei
    Tian, Nai-Shuo
    International Journal of Information and Management Sciences, 2010, 21 (01): : 29 - 40
  • [38] TAIL ASYMPTOTICS OF THE M/G/∞ MODEL
    Mandjes, M.
    Zuraniewski, P.
    STOCHASTIC MODELS, 2011, 27 (01) : 77 - 93
  • [39] Exact tail asymptotics in a priority queue—characterizations of the non-preemptive model
    Hui Li
    Yiqiang Q. Zhao
    Queueing Systems, 2011, 68 : 165 - 192
  • [40] Exact tail asymptotics for the Israeli queue with retrials and non-persistent customers
    Song, Yang
    Lu, Huijun
    OPERATIONS RESEARCH LETTERS, 2021, 49 (05) : 767 - 771
12345