ASYMPTOTIC ANALYSIS OF A FLUID MODEL MODULATED BY AN M/M/1 QUEUE

被引：0
|
作者：
Knessl, Charles [1 ]
Dominici, Diego Ernesto [2 ]
机构：
[1] Univ Illinois, Dept Math Stat & Comp Sci, Chicago, IL 60680 USA
[2] SUNY Albany, Dept Math, New Paltz, NY 12561 USA
来源：
ADVANCES IN APPLIED PROBABILITY | 2008年 / 40卷 / 03期
关键词：
Fluid queue; asymptotics; M/M/1; queue; ray method;
D O I：
10.1239/aap/1222868189
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
We analyze asymptotically a differential-difference equation that arises in a Markov-modulated fluid model. We use singular perturbation methods to analyze the problem with appropriate scalings of the two state variables. In particular, the ray method and asymptotic matching are used.
引用
收藏
页码：856 / 881
页数：26
相关论文
共 50 条
  • [11] Stationary analysis of a fluid queue driven by an M/M/1 queue with working vacation
    Vijayashree, K. V.
    Anjuka, A.
    QUALITY TECHNOLOGY AND QUANTITATIVE MANAGEMENT, 2018, 15 (02): : 187 - 208
  • [12] Fluid queue driven by an M/M/1 disasters queue
    Ammar, Sherif I.
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2014, 91 (07) : 1497 - 1506
  • [13] ANALYSIS OF A FLUID MODEL DRIVEN BY AN M/M/C VACATION QUEUE
    Xu, Xiuli
    Liu, Xiaoyan
    Yue, Wuyi
    Mei, Ning
    PACIFIC JOURNAL OF OPTIMIZATION, 2013, 9 (04): : 651 - 661
  • [14] Tandem fluid model driven by an M/M/1 vacation queue
    Wang, Fuwei
    Mao, Bingwei
    Journal of Information and Computational Science, 2010, 7 (14): : 2959 - 2966
  • [15] M/M/1 Vacation Queue with Multiple Thresholds: A Fluid Analysis
    Yazici, Mehmet Akif
    Tuan Phung-Duc
    QUANTITATIVE EVALUATION OF SYSTEMS (QEST 2020), 2020, 12289 : 148 - 152
  • [16] Fluid Queue Driven by an M/M/1 Queue Subject to Catastrophes
    Vijayashree, K. V.
    Anjuka, A.
    COMPUTATIONAL INTELLIGENCE, CYBER SECURITY AND COMPUTATIONAL MODELS, 2014, 246 : 285 - 291
  • [17] Stationary solution to the fluid queue fed by an M/M/1 queue
    Barbot, N
    Sericola, B
    JOURNAL OF APPLIED PROBABILITY, 2002, 39 (02) : 359 - 369
  • [18] Fluid Model Driven by an M/M/1 Queue with Multiple Exponential Vacations
    Wang, Fuwei
    Mao, Bingwei
    Tian, Naishuo
    2ND IEEE INTERNATIONAL CONFERENCE ON ADVANCED COMPUTER CONTROL (ICACC 2010), VOL. 3, 2010, : 112 - 115
  • [19] Analysis of an M/M/1 driven fluid queue with multiple exponential vacations
    Ammar, Sherif I.
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 227 : 329 - 334
  • [20] Stationary analysis for the fluid model driven by the M/M/c working vacation queue
    Xu, Xiuli
    Geng, Jie
    Liu, Mingxin
    Guo, Hongxia
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 403 (02) : 423 - 433
12345