The M/G/1 retrial queue with feedback and starting failures

被引:76
|
作者
Kumar, BK [1 ]
Madheswari, SP [1 ]
Vijayakumar, A [1 ]
机构
[1] Anna Univ, Dept Math, Madras 600025, Tamil Nadu, India
关键词
retrial queues; feedback; starting failures; steady state; vacation; stochastic decomposition;
D O I
10.1016/S0307-904X(02)00061-6
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
This paper discusses a retrial queue with Bernoulli feedback, where the server is subjected to starting failure. The retrial time is assumed to follow an arbitrary distribution and the customers in the orbit access the server under FCFS discipline. The necessary and sufficient condition for the stability of the system is derived. Various performance measures are obtained. Some numerical results are illustrated. The general decomposition law is shown to hold good for this model also. Some of the existing results are deduced as special cases. (C) 2002 Elsevier Science Inc. All rights reserved.
引用
收藏
页码:1057 / 1075
页数:19
相关论文
共 50 条
  • [21] Analysis of a batch retrial queue with Bernoulli vacation and starting failures
    Ke, Jau-Chuan
    Chang, Fu-Min
    [J]. International Journal of Services Operations and Informatics, 2010, 5 (02) : 95 - 114
  • [22] The M/G/1 retrial queue with retrial rate control policy
    Choi, Bong Dae
    Rhee, Kyung Hyune
    Park, Kwang Kyu
    [J]. Probability in the Engineering and Informational Sciences, 1993, 7 (01) : 29 - 46
  • [23] Stochastic Analysis of an M/G/1 Retrial Queue Subject to Working Vacation and Starting Failure
    Gowsalya, M.
    Arivudainambi, D.
    [J]. RECENT DEVELOPMENTS IN MATHEMATICAL ANALYSIS AND COMPUTING, 2019, 2095
  • [24] M[x]/(G1, G2)/1 retrial queue under Bernoulli vacation schedules with general repeated attempts and starting failures
    Ke, Jau-Chuan
    Chang, Fu-Min
    [J]. APPLIED MATHEMATICAL MODELLING, 2009, 33 (07) : 3186 - 3196
  • [25] Tail asymptotics for the queue length in an M/G/1 retrial queue
    Shang, WX
    Liu, LM
    Li, QL
    [J]. QUEUEING SYSTEMS, 2006, 52 (03) : 193 - 198
  • [26] Tail asymptotics for the queue length in an M/G/1 retrial queue
    Weixin Shang
    Liming Liu
    Quan-Lin Li
    [J]. Queueing Systems, 2006, 52 : 193 - 198
  • [27] On the M/G/1 retrial queue subjected to breakdowns
    Djellab, NV
    [J]. RAIRO-OPERATIONS RESEARCH, 2002, 36 (04) : 299 - 310
  • [28] The queue length in an M/G/1 batch arrival retrial queue
    Yamamuro, Kouji
    [J]. QUEUEING SYSTEMS, 2012, 70 (02) : 187 - 205
  • [29] The queue length in an M/G/1 batch arrival retrial queue
    Kouji Yamamuro
    [J]. Queueing Systems, 2012, 70 : 187 - 205
  • [30] On the orbit characteristics of the M/G/1 retrial queue
    Artalejo, JR
    Falin, GI
    [J]. NAVAL RESEARCH LOGISTICS, 1996, 43 (08) : 1147 - 1161