PERFORMANCE ANALYSIS OF SINGLE SERVER NON-MARKOVIAN RETRIAL QUEUE WITH WORKING VACATION AND CONSTANT RETRIAL POLICY

被引：4
|
作者：
Jailaxmi, V. [1 ]
Arumuganathan, R. [1 ]
Kumar, M. Senthil [2 ]
机构：
[1] PSG Coll Technol, Dept Math, Coimbatore 641004, Tamil Nadu, India
[2] PSG Coll Technol, Dept Appl Math & Comp Sci, Coimbatore 641004, Tamil Nadu, India
来源：
RAIRO-OPERATIONS RESEARCH | 2014年 / 48卷 / 03期
关键词：
Retrial queue; working vacation; constant retrial policy; M/G/1; QUEUE; N-POLICY;
D O I：
10.1051/ro/2014013
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
This paper analyses an M/G/1 retrial queue with working vacation and constant retrial policy. As soon as the system becomes empty, the server begins a working vacation. The server works with different service rates rather than completely stopping service during a vacation. We construct the mathematical model and derive the steady-state queue distribution of number of customer in the retrial group. The effects of various performance measures are derived.
引用
收藏
页码：381 / 398
页数：18
相关论文
共 50 条
  • [21] A single server feedback retrial queue with collisions
    Kumar, B. Krishna
    Vijayalakshmi, G.
    Krishnamoorthy, A.
    Bashaa, S. Sadiq
    COMPUTERS & OPERATIONS RESEARCH, 2010, 37 (07) : 1247 - 1255
  • [22] A fuzzy based threshold policy for a single server retrial queue with vacations
    Khodadadi, Seyed Behrouz
    Jolai, Fariborz
    CENTRAL EUROPEAN JOURNAL OF OPERATIONS RESEARCH, 2012, 20 (02) : 281 - 297
  • [23] Unreliable Server M[X]/G/1 Retrial Feedback Queue with Balking, Working Vacation and Vacation Interruption
    Madhu Jain
    Anshul Kumar
    Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, 2023, 93 : 57 - 73
  • [24] Working vacation policy for a discrete-time GeoX/Geo/1 retrial queue
    Upadhyaya S.
    OPSEARCH, 2015, 52 (4) : 650 - 669
  • [25] A fuzzy based threshold policy for a single server retrial queue with vacations
    Seyed Behrouz Khodadadi
    Fariborz Jolai
    Central European Journal of Operations Research, 2012, 20 : 281 - 297
  • [26] Exploring non-Markovian dynamics: Stochastic analysis of a single-server retrial queue with recurrent clients and balking behavior under extended Bernoulli vacations
    Kalaiselvi, J.
    Saravanarajan, M. C.
    HELIYON, 2024, 10 (13)
  • [27] 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
  • [28] M/M/1 RETRIAL QUEUE WITH COLLISIONS AND WORKING VACATION INTERRUPTION UNDER N-POLICY
    Tao, Li
    Liu, Zaiming
    Wang, Zhizhong
    RAIRO-OPERATIONS RESEARCH, 2012, 46 (04) : 355 - 371
  • [29] Discrete-Time GeoX/G/1 Retrial Queue with General Retrial Times, Working Vacations and Vacation Interruption
    Gao, Shan
    Wang, Jinting
    QUALITY TECHNOLOGY AND QUANTITATIVE MANAGEMENT, 2013, 10 (04): : 495 - 512
  • [30] A single server retrial queue with general retrial times and two-phase service
    Jinting Wang
    Jianghua Li
    Journal of Systems Science and Complexity, 2009, 22 : 291 - 302
12345