QUEUING SYSTEM WITH BULK SERVICE AS A MODEL OF SCTP PROTOCOL FUNCTIONING
DOI:
https://doi.org/10.33042/2522-1809-2024-3-184-23-28Keywords:
computer network, protocol, probabilistic model, queuing system, bulk serviceAbstract
The article presents the results of developing a model for the Stream Control Transmission Protocol functioning as a queuing system with bulk service. It constructs a graph of states and transitions for deriving linear and differential equation systems regarding the state probabilities. We obtain explicit solutions to analyse the basic SCTP functioning.
References
SCTP Overview – Regime of access: https://www.juniper.net/documentation/us/en/software/junos/gtp-sctp/topics/topic-map/security-gprs-sctp.html, free (date of the application: 11.05.2024).
Bailey, N. (1954). On Queueing Processes with Bulk Service // Journal of the Royal Statistical Society, Ser. B. – Vol. 16, No 1, 80 – 87.
Downton, F. (1955). Waiting Times in Bulk Service Queues // Journal of the Royal Statistical Society, Ser. B. – Vol. 17, No 2, 256–261.
Singh, G., Gupta, U.C., Chaudhry, M.L. (2013). Computational analysis of bulk service queue with Markovian arrival process: MAP/R(a, b)/1 queue. OPSEARCH 50, 582–603. https://doi.org/10.1007/s12597-013-0128-3
Ben-Hafaiedh, I., Slimane M. B. (2016). Model-based Design and Formal Analysis of Arbitration Protocols on Multiple-Bus Architecture. Proceedings of the 10th Workshop on Verification and Evaluation of Computer and Communication System Tunis, Tunisia, October 6-7, 177 – 192.
Achyutha Krishnamoorthy, Anu Nuthan Joshua, Vladimir Vishnevsky. (2021). Analysis of a k-Stage Bulk Service Queuing System with Accessible Batches for Service. – Mathematics, 9(5). https://doi.org/10.3390/math9050559
Yahya Mohamed, S, Karthikeyan, N. (2018), Analysis of bulk arrivals in queueing models. International research journal of multidisciplinary studies, V. 4, Iss. 4, 2 – 6.
Gianfranco Balbo, Maria Grazia Vigliotti. (2015). On the Analysis of a M/M/1 Queue with Bulk Services The Computer Journal, V. 58, Is. 1, 57 – 54. DOI: 10.1093/comjnl/bxt118
Shin-Pin Chen. (2005). Parametric nonlinear programming approach to fuzzy queues with bulk service. European Journal of Operational Research, V. 163, Is. 2, 434 – 444.
https://doi.org/10.1016/j.ejor.2003.10.041
Balasubramanian, M., Arumuganathan, R. (2011). Steady state analysis of a bulk arrival general bulk service queueing system with modified M-vacation policy and variant arrival rate. International Journal of Operational Research, Vol. 11, No. 4, 383 – 407. https://doi.org/10.1504/IJOR.2011.041799
PictureBowu Zhang, PictureWei Cheng, PictureLimin Sun, Mznah A. Al-Rodhaan. (2013). Queuing modeling for delay analysis in mission oriented sensor networks under the protocol interference model. MiSeNet ‘13: Proceedings of the 2nd ACM annual international workshop on Mission-oriented wireless sensor networking, 11 – 20. https://doi.org/10.1145/2509338.2509345
Litvinov, A.L. (2018). Theory of mass service systems. Tutorial. Kharkiv: KHNUM named after OM Beketov, 141 p.
Downloads
Published
How to Cite
Issue
Section
License
The authors who publish in this collection agree with the following terms:
• The authors reserve the right to authorship of their work and give the magazine the right to first publish this work under the terms of license CC BY-NC-ND 4.0 (with the Designation of Authorship - Non-Commercial - Without Derivatives 4.0 International), which allows others to freely distribute the published work with a mandatory reference to the authors of the original work and the first publication of the work in this magazine.
• Authors have the right to make independent extra-exclusive work agreements in the form in which they were published by this magazine (for example, posting work in an electronic repository of an institution or publishing as part of a monograph), provided that the link to the first publication of the work in this journal is maintained. .
• Journal policy allows and encourages the publication of manuscripts on the Internet (for example, in institutions' repositories or on personal websites), both before the publication of this manuscript and during its editorial work, as it contributes to the emergence of productive scientific discussion and positively affects the efficiency and dynamics of the citation of the published work (see The Effect of Open Access).