Two phase of service in M/G/1 queueing system with retrial customers

被引：2
|
作者：
Keerthiga, Sekar [1 ]
Indhira, Kandaiyan [1 ]
机构：
[1] Vellore Inst Technol, Sch Adv Sci, Dept Math, Vellore 632014, Tamil Nadu, India
来源：
JOURNAL OF ANALYSIS | 2024年 / 32卷 / 04期
关键词：
Retrial queues; Impatient customers; Delayed repair; Two-phase service; Working vacation;
D O I：
10.1007/s41478-023-00635-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A single server retrial queueing system with two phases of service for retrial customers are investigated in this article. Here, consumers are allowed to balk at certain times. The steady-state probability generating function for the system and orbit is derived by using the supplementary variable technique. The system's performance indicators and some special cases are discussed. The effect of the system parameters is examined through some numerical instances. Finally, the cost parameters have been used to execute the system's cost analysis.
引用
收藏
页码：2157 / 2183
页数：27
相关论文
共 50 条
  • [1] An M/G/1 retrial queueing system with two-phase service and preemptive resume
    Kumar, BK
    Vijayakumar, A
    Arivudainambi, D
    ANNALS OF OPERATIONS RESEARCH, 2002, 113 (1-4) : 61 - 79
  • [2] An M/G/1 Retrial Queueing System with Two-Phase Service and Preemptive Resume
    B. Krishna Kumar
    A. Vijayakumar
    D. Arivudainambi
    Annals of Operations Research, 2002, 113 : 61 - 79
  • [3] An M/G/1 Bernoulli feedback retrial queueing system with negative customers
    Kumar, B. Krishna
    Madheswari, S. Pavai
    Lakshmi, S. R. Anantha
    OPERATIONAL RESEARCH, 2013, 13 (02) : 187 - 210
  • [4] An M/G/1 Bernoulli feedback retrial queueing system with negative customers
    B. Krishna Kumar
    S. Pavai Madheswari
    S. R. Anantha Lakshmi
    Operational Research, 2013, 13 : 187 - 210
  • [5] Analysis of the M1, M2/G/1 G-queueing system with retrial customers
    Wu, Jinbiao
    Lian, Zhaotong
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2013, 14 (01) : 365 - 382
  • [6] An M/G/1 retrial queueing system with two phases of service subject to the server breakdown and repair
    Choudhury, Gautam
    Deka, Kandarpa
    PERFORMANCE EVALUATION, 2008, 65 (10) : 714 - 724
  • [7] M/G/1/r retrial queueing systems with priority of primary customers
    Bocharov, PP
    Pavlova, OI
    Puzikova, DA
    MATHEMATICAL AND COMPUTER MODELLING, 1999, 30 (3-4) : 89 - 98
  • [8] M/M/1 Retrial Queueing System with Variable Service Rate
    M. S. Bratiichuk
    A. A. Chechelnitsky
    I. Ya. Usar
    Ukrainian Mathematical Journal, 2020, 72 : 403 - 415
  • [9] M/M/1 Retrial Queueing System with Variable Service Rate
    Bratiichuk, M. S.
    Chechelnitsky, A. A.
    Usar, I. Ya.
    UKRAINIAN MATHEMATICAL JOURNAL, 2020, 72 (03) : 403 - 415
  • [10] AN MX/G/1 UNRELIABLE RETRIAL QUEUE WITH TWO PHASE SERVICE AND PERSISTENCE BEHAVIOUR OF CUSTOMERS IN SERVICE
    Kumar, M. Senthil
    Arumuganathan, R.
    RAIRO-OPERATIONS RESEARCH, 2013, 47 (01) : 9 - 32
12345