Analysis of an M/M/1 driven fluid queue with multiple exponential vacations

被引：12
|
作者：
Ammar, Sherif I. [1 ,2 ]
机构：
[1] Menoufia Univ, Fac Sci, Dept Math, Shibin Al Kawm, Egypt
[2] Taibah Univ, Coll Sci, Dept Math, Madinah Munawwarah, Saudi Arabia
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 227卷
关键词：
Fluid queue; Buffer content; M/M/1; queue; Exponential vacation; Generating functions; Modified Bessel functions; MODEL-DRIVEN;
D O I：
10.1016/j.amc.2013.10.084
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The main purpose of the current paper is to study a fluid queue model driven by an M/M/1 queue with multiple exponential vacations. We drive an explicit expression for the stationary distribution of the buffer content in terms of modified Bessel function of first kind by employing generating function methodology. Several concrete examples are considered to illustrate the variation of the proposed model with respect to vacations. (C) 2013 Elsevier Inc. All rights reserved.
引用
收藏
页码：329 / 334
页数：6
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] Fluid model driven by an M/G/1 queue with multiple exponential vacations
    Mao, Bing-wei
    Wang, Fu-wei
    Tian, Nai-shuo
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2011, 218 (08) : 4041 - 4048
  • [3] 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
  • [4] 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
  • [5] Transient Analysis of an M/M/1 Queue with Multiple Vacations
    Kalidass, Kaliappan
    Ramanath, Kasturi
    [J]. PAKISTAN JOURNAL OF STATISTICS AND OPERATION RESEARCH, 2014, 10 (01) : 121 - 130
  • [6] Busy period analysis for the GI/M/1 queue with exponential vacations
    Chae, Kyung C.
    Kim, Sung J.
    [J]. OPERATIONS RESEARCH LETTERS, 2007, 35 (01) : 114 - 118
  • [7] Simple analysis of a fluid queue driven by an M/M/1 queue
    Adan, I
    Resing, J
    [J]. QUEUEING SYSTEMS, 1996, 22 (1-2) : 171 - 174
  • [8] 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
  • [9] Analysis of a GI/M/1 queue with multiple working vacations
    Baba, Y
    [J]. OPERATIONS RESEARCH LETTERS, 2005, 33 (02) : 201 - 209
  • [10] Transient analysis of an M/M/1 queue with impatient behavior and multiple vacations
    Ammar, Sherif I.
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2015, 260 : 97 - 105
12345