Analysis of a batch retrial queue with Bernoulli vacation and starting failures

被引：1
|
作者：
Ke J.-C. [1 ]
Chang F.-M. [2 ]
机构：
[1] Department of Applied Statistics, National Taichung Institute of Technology, Taichung 404, No. 129, Sec. 3, Sanmin Rd.
[2] Department of Finance, Chaoyang University of Technology
来源：
International Journal of Services Operations and Informatics | 2010年 / 5卷 / 02期
关键词：
Bernoulli schedule; Retrial queue; Starting failure; Stochastic decomposition;
D O I：
10.1504/IJSOI.2010.031112
中图分类号：
学科分类号：
摘要：
A batch arrival retrial queue with general retrial times is studied in this paper, where the server is subject to starting failures under Bernoulli vacation schedule. Any arriving batch finding the server busy, broken down or on vacation enters an orbit. Otherwise one customer from the arriving batch enters a service immediately while the rest joins the orbit. After completion of service, the server either goes for a vacation with probability p or may wait for serving the next customer with probability (1 - p). We construct the mathematical model and derive the steady-state distribution of the server state and the number of customers in the system/orbit. The effect of parameter distributions on the system performance measures is numerically presented. Such a model has potential applications in mail system and wireless network. Copyright © 2010 Inderscience Enterprises Ltd.
引用
收藏
页码：95 / 114
页数：19
相关论文
共 50 条
  • [21] The M/G/1 retrial queue with feedback and starting failures
    Kumar, BK
    Madheswari, SP
    Vijayakumar, A
    APPLIED MATHEMATICAL MODELLING, 2002, 26 (11) : 1057 - 1075
  • [22] Stochastic Analysis of an M/G/1 Retrial Queue Subject to Working Vacation and Starting Failure
    Gowsalya, M.
    Arivudainambi, D.
    RECENT DEVELOPMENTS IN MATHEMATICAL ANALYSIS AND COMPUTING, 2019, 2095
  • [23] A two phase batch arrival retrial queueing system with Bernoulli vacation schedule
    Choudhury, Gautam
    APPLIED MATHEMATICS AND COMPUTATION, 2007, 188 (02) : 1455 - 1466
  • [24] Analysis of an unreliable retrial G-queue with working vacations and vacation interruption under Bernoulli schedule
    Rajadurai, P.
    Chandrasekaran, V. M.
    Saravanarajan, M. C.
    AIN SHAMS ENGINEERING JOURNAL, 2018, 9 (04) : 567 - 580
  • [25] An Unreliable Server Retrial Queue with Two Phases of Service and General Retrial Times Under Bernoulli Vacation Schedule
    Choudhury, Gautam
    Tadj, Lotfi
    Deka, Mitali
    QUALITY TECHNOLOGY AND QUANTITATIVE MANAGEMENT, 2015, 12 (04): : 437 - 464
  • [26] The multi-server retrial system with Bernoulli feedback and starting failures
    Yang, Dong-Yuh
    Ke, Jau-Chuan
    Wu, Chia-Huang
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2015, 92 (05) : 954 - 969
  • [27] Mx/G/1 Retrial Queue with Multiple Vacations and Starting Failures
    B. Krishna Kumar
    S. Pavai Madheswari
    OPSEARCH, 2003, 40 (2) : 115 - 137
  • [28] Discrete-time Retrial Queue with Bernoulli Vacation, Preemptive Resume and Feedback Customers
    Chen, Peishu
    Zhou, Yongwu
    Li, Changwen
    JOURNAL OF INDUSTRIAL ENGINEERING AND MANAGEMENT-JIEM, 2015, 8 (04): : 1236 - 1250
  • [29] Metaheuristics and strategic behavior of markovian retrial queue under breakdown, vacation and bernoulli feedback
    Dhibar, Sibasish
    Jain, Madhu
    APPLIED INTELLIGENCE, 2025, 55 (04)
  • [30] MX/G/1 unreliable retrial queue with option of additional service and Bernoulli vacation
    Singh, Charan Jeet
    Jain, Madhu
    Kumar, Binay
    AIN SHAMS ENGINEERING JOURNAL, 2016, 7 (01) : 415 - 429
12345