WAITING TIME DISTRIBUTION IN THE M/M/M RETRIAL QUEUE

被引：3
|
作者：
Kim, Jeongsim [1 ]
Kim, Jerim [2 ]
机构：
[1] Chungbuk Natl Univ, Dept Math Educ, Cheongju 361763, South Korea
[2] Yongin Univ, Dept Business Adm, Yongin 449714, South Korea
来源：
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2013年 / 50卷 / 05期
基金：
新加坡国家研究基金会;
关键词：
M/M/m retrial queue; waiting time; Laplace-Stieltjes transform; first passage time;
D O I：
10.4134/BKMS.2013.50.5.1659
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we are concerned with the analysis of the waiting time distribution in the M/M/m retrial queue. We give expressions for the Laplace-Stieltjes transform (LST) of the waiting time distribution and then provide a numerical algorithm for calculating the LST of the waiting time distribution. Numerical inversion of the LSTs is used to calculate the waiting time distribution. Numerical results are presented to illustrate our results.
引用
收藏
页码：1659 / 1671
页数：13
相关论文
共 50 条
  • [1] Waiting time distribution in an M/PH/1 retrial queue
    Kim, Jeongsim
    Kim, Bara
    PERFORMANCE EVALUATION, 2013, 70 (04) : 286 - 299
  • [2] Waiting time distribution for the M/M/m queue
    Chan, WC
    Lin, YB
    IEE PROCEEDINGS-COMMUNICATIONS, 2003, 150 (03): : 159 - 162
  • [3] ON THE VIRTUAL WAITING TIME IN AN M/G/1 RETRIAL QUEUE
    FALIN, G
    FRICKER, C
    JOURNAL OF APPLIED PROBABILITY, 1991, 28 (02) : 446 - 460
  • [4] Tail asymptotics of the queue size distribution in the M/M/m retrial queue
    Kim, Jerim
    Kim, Jeongsim
    Kim, Bara
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2012, 236 (14) : 3445 - 3460
  • [5] Estimation of waiting time distribution in an M/M/1 Queue
    Chowdhury S.
    Mukherjee S.P.
    OPSEARCH, 2011, 48 (4) : 306 - 317
  • [6] Regularly varying tail of the waiting time distribution in M/G/1 retrial queue
    Jerim Kim
    Jeongsim Kim
    Bara Kim
    Queueing Systems, 2010, 65 : 365 - 383
  • [7] Regularly varying tail of the waiting time distribution in M/G/1 retrial queue
    Kim, Jerim
    Kim, Jeongsim
    Kim, Bara
    QUEUEING SYSTEMS, 2010, 65 (04) : 365 - 383
  • [8] Waiting Time Control Chart for M/G/1 Retrial Queue
    Lin, Yih-Bey
    Liu, Tzu-Hsin
    Tsai, Yu-Cheng
    Chang, Fu-Min
    COMPUTATION, 2024, 12 (09)
  • [9] Waiting-time probabilities in the M/G/1 retrial queue
    Nobel, RD
    Tijms, HC
    STATISTICA NEERLANDICA, 2006, 60 (01) : 73 - 78
  • [10] Waiting time analysis of the M/G/1 queue with finite retrial group
    Artalejo, Jesus R.
    Gomez-Corral, A.
    NAVAL RESEARCH LOGISTICS, 2007, 54 (05) : 524 - 529
12345