Skip to main content
Log in

Analysis of Nodal Multiflows in a Multiuser System with Equalizing Control Strategies

  • SYSTEMS ANALYSIS AND OPERATIONS RESEARCH
  • Published:
Journal of Computer and Systems Sciences International Aims and scope

Abstract

Within the framework of computational experiments on a mathematical model of a multiuser network communication system, the dynamics of changes in the indicators of the functioning of a telecommunications network are studied. The proposed algorithmic scheme makes it possible to sequentially form component-by-component nondecreasing vectors of permissible outgoing nodal multiflows. The model assumes that the transmission of interstitial flows of different types is carried out simultaneously from all nodes by all nodes along all routes with the minimum number of edges. During the calculations, resources are distributed in equal shares at each step until the network is fully loaded. The results obtained during the experiments make it possible to trace changes in the values of quotas distributed to the nodes for transmitting a certain type of flow. The found vectors of allowable outgoing nodal multiflows can be considered as guaranteed multicriterial estimates of the functioning of a multiuser system. Networks with different structural features and equal total capacity are analyzed. Special diagrams are provided.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1.
Fig. 2.
Fig. 3.
Fig. 4.
Fig. 5.
Fig. 6.
Fig. 7.
Fig. 8.
Fig. 9.
Fig. 10.

REFERENCES

  1. Yu. E. Malashenko and I. A. Nazarova, “Resource distribution and balancing flows in a multiuser network,” J. Comput. Syst. Sci. Int. 62 (5), 838–849 (2023).

    Google Scholar 

  2. Yu. E. Malashenko and I. A. Nazarova, “Estimate of the resource distribution in the multiuser network with equal internodal loads, Inf. Primen. 17 (1), 83–89 (2023).

    Google Scholar 

  3. Yu. E. Malashenko and I. A. Nazarova, “Multiuser network load analysis by splitting flows along the shortest routes,” Inf. Primen. 17 (3), 33–38 (2023).

    Google Scholar 

  4. Yu. B. Germeier, Introduction to the Theory of Operational Research (Nauka, Moscow, 1971) [in Russian].

    Google Scholar 

  5. K. Salimifard and S. Bigharaz, “The multicommodity network flow problem: State of the art classification, applications, and solution methods,” J. Oper. Res. Int. 22 (2), 1–47 (2020).

    Article  Google Scholar 

  6. W. Ogryczak, H. Luss, M. Pioro, et al., “Fair optimization and networks: A survey,” J. Appl. Math. 3, 1–25 (2014).

    MathSciNet  Google Scholar 

  7. H. Luss, Equitable Resource Allocation: Models, Algorithms, and Applications (John Wiley and Sons, Hoboken, 2012).

    Book  Google Scholar 

  8. A. Balakrishnan, G. Li, and P. Mirchandani, “Optimal network design with end-to-end service requirements,” Oper. Res. 65 (3), 729–750 (2017).

    Article  MathSciNet  Google Scholar 

  9. Moudera J., Elmaghrabi S. Operations Research. Models and applications. V. 2 (Mir , Moscow, 1981).

  10. Jensen P., Barnes D. Stream programming (Radio and communication, Moscow, 1984).

  11. Cormen T.H., Leiserson C.I., Rivest R.L. and others. Algorithms: construction and analysis ( Williams, Moscow, 2005).

Download references

Funding

This work was supported by ongoing institutional funding. No additional grants to carry out or direct this particular research were obtained.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to I. A. Nazarova.

Ethics declarations

CONFLICT OF INTEREST

The author of this work declares that he has no conflicts of interest.

CONSENT TO PARTICIPATE

Informed consent was obtained from all individual participants included in the study.

Additional information

Publisher’s Note.

Pleiades Publishing remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Malashenko, Y.E., Nazarova, I.A. Analysis of Nodal Multiflows in a Multiuser System with Equalizing Control Strategies. J. Comput. Syst. Sci. Int. 62, 1025–1036 (2023). https://doi.org/10.1134/S1064230723060084

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1064230723060084

Keywords:

Navigation