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
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
  • [21] 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
  • [22] A matrix approach for stationary analysis fluid model driven by an M/M/1/N queue with discouraged arrivals
    Mahdy S. EL-paoumy
    Taha Radwan
    Journal of the Egyptian Mathematical Society, 28 (1)
  • [23] Asymptotic analysis of the sojourn time of a batch in a M[X]/M/1 processor sharing queue
    Guillemin, Fabrice
    Simonian, Alain
    Nasri, Ridha
    Rodriguez, Veronica Quintuna
    STOCHASTIC MODELS, 2024, 40 (04) : 659 - 684
  • [24] Perturbation Analysis of M/M/1 Queue
    Abbas, Karim
    Aissani, Djamil
    RAPID MODELLING AND QUICK RESPONSE: INTERSECTION OF THEORY AND PRACTICE, 2010, : 3 - 15
  • [25] Fluid M/M/1 catastrophic queue in a random environment
    Ammar, Sherif, I
    RAIRO-OPERATIONS RESEARCH, 2021, 55 : S2677 - S2690
  • [26] TRANSIENT ANALYSIS OF THE M/M/1 QUEUE
    LEGUESDRON, P
    PELLAUMAIL, J
    RUBINO, G
    SERICOLA, B
    ADVANCES IN APPLIED PROBABILITY, 1993, 25 (03) : 702 - 713
  • [27] Fluid queues driven by an M/M/1/N queue
    Lenin, RB
    Parthasarathy, PR
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2000, 6 (05) : 439 - 460
  • [28] Fluid Queue Driven by an M/M/1 Queue Subject to Working Vacation and Impatience
    Vijayashree, K. V.
    Anjuka, A.
    COMPUTATIONAL INTELLIGENCE, CYBER SECURITY AND COMPUTATIONAL MODELS: MODELS AND TECHNIQUES FOR INTELLIGENT SYSTEMS AND AUTOMATION, 2018, 844 : 172 - 182
  • [29] Fluid model driven by an M/M/1 queue with multiple vacations and N-policy
    Mao B.-W.
    Wang F.-W.
    Tian N.-S.
    Journal of Applied Mathematics and Computing, 2012, 38 (1-2) : 119 - 131
  • [30] Fluid model fed by an M/PH/1 queue with multiple vacations
    Mao, Bingwei
    Wang, Fuwei
    Zhao, Hai
    ICIC Express Letters, 2015, 9 (10): : 2795 - 2800