An M/G/1 retrial queue with second multi-optional service, feedback and unreliable server

被引：0
|
作者：
Li J. [1 ]
Wang J. [1 ]
机构：
[1] Department of Mathematics, Beijing Jiaotong University, Beijing
来源：
Applied Mathematics-A Journal of Chinese Universities | 2006年 / 21卷 / 3期
基金：
中国国家自然科学基金;
关键词：
Feedback; Retrial queues; Server breakdown and repair; Starting failures; Two-phase service;
D O I：
10.1007/s11766-003-0002-9
中图分类号：
学科分类号：
摘要：
An M/G/1 retrial queue with two-phase service and feedback is studied in this paper, where the server is subject to starting failures and breakdowns during service. Primary customers get in the system according to a Poisson process, and they will receive service immediately if the server is available upon arrival. Otherwise, they will enter a retrial orbit and are queued in the orbit in accordance with a first-come-first-served (FCFS) discipline. Customers are allowed to balk and renege at particular times. All customers demand the first “essential” service, whereas only some of them demand the second “multi-optional” service. It is assumed that the retrial time, service time and repair time of the server are all arbitrarily distributed. The necessary and sufficient condition for the system stability is derived. Using a supplementary variable method, the steady-state solutions for some queueing and reliability measures of the system are obtained. © 2006, Springer Verlag. All rights reserved.
引用
收藏
页码：252 / 262
页数：10
相关论文
共 50 条
  • [11] 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
  • [12] On an unreliable-server retrial queue with customer feedback and impatience
    Chang, Fu-Min
    Liu, Tzu-Hsin
    Ke, Jau-Chuan
    APPLIED MATHEMATICAL MODELLING, 2018, 55 : 171 - 182
  • [13] Queueing and Reliability Analysis of Unreliable Multi-server Retrial queue with Bernoulli feedback
    Upadhyaya, Shweta
    Agarwal, Divya
    Agarwal, Radhika
    Ahmad, Izhar
    Ibrahim, Abdulkarim Hassan
    Al-Homidan, S.
    CARPATHIAN JOURNAL OF MATHEMATICS, 2023, 39 (03) : 745 - 758
  • [14] An M/G/1 retrial G-queue with non-exhaustive random vacations and an unreliable server
    Wu, Jinbiao
    Yin, Xiaoling
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (05) : 2314 - 2329
  • [15] LIGHT TAILED ASYMPTOTICS IN AN UNRELIABLE M/G/1 RETRIAL QUEUE
    Aissani, A.
    THEORY OF PROBABILITY AND MATHEMATICAL STATISTICS, 2011, 85 : 1 - 6
  • [16] A matrix geometric approach to the M/M/1 two-phase multi optional retrial queue with Bernoulli feedback, impatient customers and a server subject to breakdown and repair
    Lakshmi K.
    Ramanath K.
    OPSEARCH, 2014, 51 (1) : 36 - 49
  • [17] Performance analysis of a Geo([X]) /G(H) /1 retrial queue with an unreliable server
    Aboul-Hassan, Abdel-Karim
    Rabia, Sherif
    Al-Mujahid, Ahmed
    INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS, 2010, 17 (J10): : 18 - 36
  • [18] Stochastic Inequalities for Mx/G/1 Retrial Queues with Bernoulli Feedback and Second Optional Service
    Zhou, Zhenchuan
    Zhou, Zonghao
    2018 EIGHTH INTERNATIONAL CONFERENCE ON INSTRUMENTATION AND MEASUREMENT, COMPUTER, COMMUNICATION AND CONTROL (IMCCC 2018), 2018, : 585 - 589
  • [19] THE M/G/1 RETRIAL QUEUE WITH THE SERVER SUBJECT TO STARTING FAILURES
    YANG, T
    LI, H
    QUEUEING SYSTEMS, 1994, 16 (1-2) : 83 - 96
  • [20] Decomposition property of the M/G/1 retrial queue with feedback and general retrial times
    Djellab, Natalia
    Boussaha, Zina
    SOR'07: PROCEEDINGS OF THE 9TH INTERNATIONAL SYMPOSIUM ON OPERATIONAL RESEARCH IN SLOVENIA, 2007, : 91 - 94
12345