Analysis of the MAP/M/1 Retrial Queueing Model with Markovian Flow of Breakdowns Repairable Server

被引:0
|
作者
Zhou, Zhenchuan [1 ]
Zhou, Zonghao [1 ]
机构
[1] Huangshan Univ, Sch Math & Stat, Huangshan 245041, Peoples R China
关键词
Retrial queue; Ergodicity; Reliability; Markovian flow; Breakdown; TIMES;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper considers an MAP/M/1 retrial queueing model with Markovian flow of breakdowns repairable servers. In the case of blocking, the blocked customers join the infinite waiting positions retrial group in accordance with an FCFS discipline. It assumes that the server is unreliable and repairable. The main queueing indexes are derived by a quasi-birth- and-death (QBD) process. Besides, we conduct some numerical examples to illustrate the effect of the parameters on several performance measures.
引用
收藏
页码:1082 / 1085
页数:4
相关论文
共 50 条
  • [21] Asymptotic Analysis of Retrial Queueing System M/M/1 with Impatient Customers, Collisions and Unreliable Server
    Danilyuk, Elena Yu
    Moiseeva, Svetlana P.
    Sztrik, Janos
    [J]. JOURNAL OF SIBERIAN FEDERAL UNIVERSITY-MATHEMATICS & PHYSICS, 2020, 13 (02): : 218 - 230
  • [22] The BMAP/PH/N retrial queue with Markovian flow of breakdowns
    Kim, Chesoong
    Klimenok, Valentina I.
    Orlovsky, Dmitry S.
    [J]. EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2008, 189 (03) : 1057 - 1072
  • [23] A queueing model with server breakdowns, repairs, vacations, and backup server
    Chakravarthy, Srinivas R.
    Shruti
    Kulshrestha, Rakhee
    [J]. OPERATIONS RESEARCH PERSPECTIVES, 2020, 7
  • [24] Maximum entropy analysis of the M[x]/M/1 queueing system with multiple vacations and server breakdowns
    Wang, Kuo-Hsiung
    Chan, Mei-Chuan
    Ke, Jau-Chuan
    [J]. COMPUTERS & INDUSTRIAL ENGINEERING, 2007, 52 (02) : 192 - 202
  • [25] Reliability Analysis of the Retrial Queue with Server Breakdowns and Repairs
    Jinting Wang
    Jinhua Cao
    Quanlin Li
    [J]. Queueing Systems, 2001, 38 : 363 - 380
  • [26] Reliability analysis of the retrial queue with server breakdowns and repairs
    Wang, JT
    Cao, JH
    Li, QL
    [J]. QUEUEING SYSTEMS, 2001, 38 (04) : 363 - 380
  • [27] SENSITIVITY ANALYSIS OF AN M/G/1 RETRIAL QUEUEING SYSTEM WITH DISASTER UNDER WORKING VACATIONS AND WORKING BREAKDOWNS
    Rajadurai, P.
    [J]. RAIRO-OPERATIONS RESEARCH, 2018, 52 (01) : 35 - 54
  • [28] Performance analysis of a multi server retrial queueing system with unreliable server, discouragement and vacation model
    Saravanan, V.
    Poongothai, V.
    Godhandaraman, P.
    [J]. MATHEMATICS AND COMPUTERS IN SIMULATION, 2023, 214 : 204 - 226
  • [29] ANALYSIS OF THE FINITE SOURCE RETRIAL QUEUES WITH SERVER BREAKDOWNS AND REPAIRS
    Wang, Jinting
    Zhao, Linfei
    Zhang, Feng
    [J]. JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, 2011, 7 (03) : 655 - 676
  • [30] Cost analysis of a finite M/M/R queueing system with balking, reneging, and server breakdowns
    Kuo-Hsiung Wang
    Ying-Chung Chang
    [J]. Mathematical Methods of Operations Research, 2002, 56 : 169 - 180