A vacation queueing model with service breakdowns

被引：32
|
作者：
Gray, WJ
Wang, PP
Scott, M
机构：
[1] Univ Alabama, Coll Arts & Sci, Dept Math, Tuscaloosa, AL 35487 USA
[2] Western Illinois Univ, Macomb, IL 61455 USA
来源：
APPLIED MATHEMATICAL MODELLING | 2000年 / 24卷 / 5-6期
关键词：
D O I：
10.1016/S0307-904X(99)00048-7
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper we analyze a multiple-vacation queueing model, where the service station is subject to breakdown while in operation. Service resumes immediately after a repair process, and a vacation starts at the end of each busy period. Arrivals follow a Poisson process with rates depending upon the system state, namely, vacation, service, or breakdown state. The repair times, times to breakdown following a repair or vacation, uninterrrupted service times, and length of each vacation follow exponential distributions. Some results are also obtained when vacation, service, and repair times follow phase-type distributons. (C) 2000 Elsevier Science Inc. All rights reserved.
引用
收藏
页码：391 / 400
页数：10
相关论文
共 50 条
  • [31] Point Spectra of the Operator Corresponding to the M/M/1 Queueing Model with Working Vacation and Vacation Interruption
    Ehmet KASIM
    Geni GUPUR
    Journal of Mathematical Research with Applications, 2019, 39 (01) : 75 - 88
  • [32] Towards a Balance Between Energy Savings and Quality of Service: a Finite-Buffer Queueing Model with a Controlled Machine Vacation
    Kempa, Wojciech M.
    2024 25TH INTERNATIONAL CARPATHIAN CONTROL CONFERENCE, ICCC 2024, 2024,
  • [33] Systematic analysis of an unreliable batch service retrial queueing system with two sort of vacation
    Niranjan S.P.
    Indhira K.
    Chandrasekaran V.M.
    International Journal of Applied Systemic Studies, 2023, 10 (03) : 243 - 264
  • [34] The optimal service policies in an M/G/1 queueing system with multiple vacation types
    Zhang, ZG
    Vickson, R
    Love, E
    INFOR, 2001, 39 (04) : 357 - 366
  • [35] Customer behavior and pricing analysis of vacation queueing system under elastic service mechanism
    Wang, Rui
    Xu, Xiuli
    Xitong Gongcheng Lilun yu Shijian/System Engineering Theory and Practice, 2024, 44 (08): : 2625 - 2644
  • [36] Further Research on the M/G/1 Retrial Queueing Model with Server Breakdowns
    Kasim, Ehmet
    Gupur, Geni
    JOURNAL OF APPLIED MATHEMATICS, 2012,
  • [37] Analysis of Bulk Arrival Queueing System with Batch Size Dependent Service and Working Vacation
    Niranjan, S. P.
    Indhira, K.
    Chandrasekaran, V. M.
    INTERNATIONAL CONFERENCE ON ELECTRICAL, ELECTRONICS, MATERIALS AND APPLIED SCIENCE, 2018, 1952
  • [38] The optimal service policies in an M/G/1 queueing system with multiple vacation types
    Zhang, Zhe George
    Vickson, Raymond
    Love, Ernie
    2001, University of Toronto Press (39)
  • [39] Approximate solution of a class of queueing networks with breakdowns
    Thomas, N
    Thornley, D
    Zatschler, H
    ESM 2003: 17TH EUROPEAN SIMULATION MULTICONFERENCE: FOUNDATIONS FOR SUCCESSFUL MODELLING & SIMULATION, 2003, : 251 - 256
  • [40] A single server queueing system with two phases of service subject to server breakdown and Bernoulli vacation
    Choudhury, Gautam
    Deka, Mitali
    APPLIED MATHEMATICAL MODELLING, 2012, 36 (12) : 6050 - 6060
12345