Limiting distributions in queueing networks with unreliable elements

被引：2
|
作者：
Tsitsiashvili, G. Sh. [1 ]
Osipova, M. A. [1 ]
机构：
[1] RAS, Far E Branch, Inst Appl Math, Vladivostok, Russia
来源：
PROBLEMS OF INFORMATION TRANSMISSION | 2008年 / 44卷 / 04期
关键词：
Recovery;
D O I：
10.1134/S0032946008040091
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
We consider multichannel systems and open queueing networks with unreliable elements: nodes, paths between nodes, and channels at nodes. Computation of limiting distributions in a product form for these models is based on choosing recovery schemes for unreliable elements (independent recovery, recovery at a single site, recovering network scheme), routing algorithms, and service disciplines. Thus, by introducing a certain control, we constructively relate queueing theory with reliability theory. Results of the paper can be transferred to closed networks almost without changes.
引用
收藏
页码：385 / 394
页数：10
相关论文
共 50 条
  • [1] Limiting distributions in queueing networks with unreliable elements
    G. Sh. Tsitsiashvili
    M. A. Osipova
    [J]. Problems of Information Transmission, 2008, 44 : 385 - 394
  • [2] Exponential limiting distributions in queueing systems with deadlines
    Drmota, M.
    Schmid, U.
    [J]. 1600, (53):
  • [3] AN ANALYSIS OF QUEUEING NETWORKS WITH UNRELIABLE SERVERS AND INFORMATION DELAY
    Tananko, I. E.
    Fokina, N. P.
    [J]. VESTNIK TOMSKOGO GOSUDARSTVENNOGO UNIVERSITETA-UPRAVLENIE VYCHISLITELNAJA TEHNIKA I INFORMATIKA-TOMSK STATE UNIVERSITY JOURNAL OF CONTROL AND COMPUTER SCIENCE, 2020, (52): : 90 - 97
  • [4] Workload distributions in ASIP queueing networks
    Onno Boxma
    Offer Kella
    Uri Yechiali
    [J]. Queueing Systems, 2021, 97 : 81 - 100
  • [5] Workload distributions in ASIP queueing networks
    Boxma, Onno
    Kella, Offer
    Yechiali, Uri
    [J]. QUEUEING SYSTEMS, 2021, 97 (1-2) : 81 - 100
  • [6] Analysis of Closed Unreliable Queueing Networks with Batch Movements of Customers
    Tananko, I. E.
    Fokina, N. P.
    [J]. IZVESTIYA SARATOVSKOGO UNIVERSITETA NOVAYA SERIYA-MATEMATIKA MEKHANIKA INFORMATIKA, 2013, 13 (02): : 19 - 19
  • [7] Approximation of discrete time tandem queueing networks with unreliable servers and blocking
    Shin, Yang Woo
    Moon, Dug Hee
    [J]. PERFORMANCE EVALUATION, 2018, 120 : 49 - 74
  • [8] Transient product form distributions in queueing networks
    Boucherie, Richard J.
    Taylor, P.G.
    [J]. Discrete Event Dynamic Systems: Theory and Applications, 1993, 3 (04):
  • [9] A quorum queueing system with an unreliable server
    Tadj, Lotfi
    Choudhury, Gautam
    [J]. APPLIED MATHEMATICS LETTERS, 2009, 22 (11) : 1710 - 1714
  • [10] Unreliable Queueing System with Cold Redundancy
    Klimenok, Valentina
    Vishnevsky, Vladimir
    [J]. COMPUTER NETWORKS, CN 2015, 2015, 522 : 336 - 346
12345