The MAP/G/1 G-queue with Unreliable Server and Multiple Vacations

被引：2
|
作者：
Peng, Yi [1 ]
机构：
[1] Changsha Normal Univ, Sch Math Sci, Changsha 410100, Hunan, Peoples R China
来源：
INFORMATICA-JOURNAL OF COMPUTING AND INFORMATICS | 2019年 / 43卷 / 04期
关键词：
G-queues; Markovian Arrival Process (MAP); reliability; censoring technique; RG-factorization; BREAKDOWNS;
D O I：
10.31449/inf.v43i4.3007
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
In this paper, we consider a MAP/G/1 G-queues with unreliable server and multiple vacations. The arrival of a negative customer not only removes the customer being in service, but also makes the server under repair. The server leaves for a vacation as soon as the system empties and is allowed to take repeated (multiple) vacations. By using the supplementary variables method and the censoring technique, we obtain the queue length distributions. We derive the mean of the busy period based on the renewal theory. Furthermore, we analyze some main reliability indexes and investigate some important special cases.
引用
收藏
页码：545 / 550
页数：6
相关论文
共 50 条
  • [1] Analysis of G-queue with unreliable server
    Rakhee
    Sharma G.
    Priya K.
    [J]. OPSEARCH, 2013, 50 (3) : 334 - 345
  • [2] An M/G/1 retrial G-queue with non-exhaustive random vacations and an unreliable server
    Wu, Jinbiao
    Yin, Xiaoling
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (05) : 2314 - 2329
  • [3] On a BMAP/G/1 G-queue with setup times and multiple vacations
    Yi Peng
    Xiang-qun Yang
    [J]. Acta Mathematicae Applicatae Sinica, English Series, 2011, 27 : 625 - 638
  • [4] On a BMAP/G/1 G-queue with setup times and multiple vacations
    Peng, Yi
    Yang, Xiang-qun
    [J]. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2011, 27 (04): : 625 - 638
  • [5] On a BMAP/G/1 G-queue with Setup Times and Multiple Vacations
    Yi PENG 1
    [J]. Acta Mathematicae Applicatae Sinica, 2011, 27 (04) : 625 - 638
  • [6] An MX/G/1 retrial queue with unreliable server and vacations
    Aissani, A
    [J]. ESM 2003: 17TH EUROPEAN SIMULATION MULTICONFERENCE: FOUNDATIONS FOR SUCCESSFUL MODELLING & SIMULATION, 2003, : 175 - 180
  • [7] An M/G/1 G-queue with server breakdown, working vacations and vacation interruption
    Zhang M.
    Liu Q.
    [J]. OPSEARCH, 2015, 52 (2) : 256 - 270
  • [8] An M/G/1 G-queue with server breakdown, working vacations and bernoulli vacation interruption
    Li, Jing
    Li, Tao
    [J]. IAENG International Journal of Applied Mathematics, 2020, 50 (02): : 1 - 8
  • [9] Discrete-time GeoX/G/1 queue with unreliable server and multiple adaptive delayed vacations
    Tang, Yinghui
    Yun, Xi
    Huang, Shujuan
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2008, 220 (1-2) : 439 - 455
  • [10] An M/G/1 Retrial G-queue with Multiple Working Vacation and a Waiting Server
    Murugan, S. Pazhani Bala
    Keerthana, R.
    [J]. COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS, 2022, 13 (03): : 893 - 909
12345