Fluid model driven by an M/G/1 queue with multiple exponential vacations

被引：15
|
作者：
Mao, Bing-wei [1 ]
Wang, Fu-wei [2 ]
Tian, Nai-shuo [1 ]
机构：
[1] Yanshan Univ, Coll Sci, Qinhuangdao 066004, Hebei, Peoples R China
[2] Yanshan Univ, Coll Informat Sci & Engn, Qinhuangdao 066004, Hebei, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 218卷 / 08期
基金：
中国国家自然科学基金;
关键词：
Fluid queue; M/G/1; queue; Exponential vacation; Buffer content; Laplace transform; STOCHASTIC-THEORY;
D O I：
10.1016/j.amc.2011.08.071
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper studies a fluid model driven by an M/G/1 queue with multiple exponential vacations. By introducing various vacation strategies to the fluid model, we can provide greater flexibility for the design and control of input rate and output rate. The Laplace transform of the steady-state distribution of the buffer content is expressed through the minimal positive solution to a crucial equation. Then the performance measure-mean buffer content, which is independent of the vacation parameter, is obtained. Finally, with some numerical examples, the parameter effect on the mean buffer content is presented. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码：4041 / 4048
页数：8
相关论文
共 50 条
  • [1] Fluid Model Driven by an M/M/1 Queue with Multiple Exponential Vacations
    Wang, Fuwei
    Mao, Bingwei
    Tian, Naishuo
    [J]. 2ND IEEE INTERNATIONAL CONFERENCE ON ADVANCED COMPUTER CONTROL (ICACC 2010), VOL. 3, 2010, : 112 - 115
  • [2] Analysis of an M/M/1 driven fluid queue with multiple exponential vacations
    Ammar, Sherif I.
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2014, 227 : 329 - 334
  • [3] Fluid model driven by an M/M/1 queue with multiple vacations and N-policy
    Mao B.-W.
    Wang F.-W.
    Tian N.-S.
    [J]. Journal of Applied Mathematics and Computing, 2012, 38 (1-2) : 119 - 131
  • [4] ANALYSIS OF A FLUID QUEUE DRIVEN BY A QUEUE WITH MULTIPLE EXPONENTIAL VACATIONS AND IMPATIENT CUSTOMERS
    Sophia, S.
    Deepika, B. Muthu
    Lakshmi, S. R. Ananatha
    [J]. BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2023, 15 (02): : 1 - 13
  • [5] Fluid model fed by an M/PH/1 queue with multiple vacations
    Mao, Bingwei
    Wang, Fuwei
    Zhao, Hai
    [J]. ICIC Express Letters, 2015, 9 (10): : 2795 - 2800
  • [6] M/G/1 queue with multiple working vacations
    Wu, De-An
    Takagi, Hideaki
    [J]. PERFORMANCE EVALUATION, 2006, 63 (07) : 654 - 681
  • [7] Fluid model driven by an m/m/1/n queue with single exponential vacation
    Mao, Bing-Wei
    Wang, Fu-Wei
    Tian, Nai-Shuo
    [J]. International Journal of Information and Management Sciences, 2010, 21 (01): : 29 - 40
  • [8] Analysis of an M/G/1 queue with vacations and multiple phases of operation
    Jianjun Li
    Liwei Liu
    Tao Jiang
    [J]. Mathematical Methods of Operations Research, 2018, 87 : 51 - 72
  • [9] An M/G/1 queue with multiple types of feedback and gated vacations
    Boxma, OJ
    Yechiali, U
    [J]. JOURNAL OF APPLIED PROBABILITY, 1997, 34 (03) : 773 - 784
  • [10] ON THE M/G/1 QUEUE WITH MULTIPLE VACATIONS AND GATED SERVICE DISCIPLINE
    TAKINE, T
    HASEGAWA, T
    [J]. JOURNAL OF THE OPERATIONS RESEARCH SOCIETY OF JAPAN, 1992, 35 (03) : 217 - 235
12345