Skip to main content
Log in

Uniform resource networks I. Complete graphs

  • Control in Social Economic Systems
  • Published:
Automation and Remote Control Aims and scope Submit manuscript

Abstract

A bidirectional resource network is a directed graph in which any two vertices υ i , υ j are either not adjacent or are connected by a pair of edges (υ i , υ j ), (υ j , υ i ). Non-negative numbers (resources) are assigned to vertices. The rules of functioning for such networks are formulated and processes of resource distribution in bidirectional networks represented by complete graphs are considered. It is shown that limit states of such networks do not depend on initial resource distributions.

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.

Similar content being viewed by others

References

  1. Ford, L.R. and Fulkerson, D.R., Flows in Networks, Princeton: Princeton Univ. Press, 1962. Translated under the title Potoki v setyakh, Moscow: Mir, 1966.

    MATH  Google Scholar 

  2. Ahuja, R.K., Magnati, T.L., and Orlin, J.B., Network Flows: Theory, Algorithms and Applications, New Jersey: Prentice Hall, 1993.

    Google Scholar 

  3. Fleischer, L. and Skutella, M., Minimum Cost Flows Over Time without Intermediate Storage, Proc. 35th ACM/SIAM Symp. Discrete Algorithms (SODA), 2003, pp. 66–75.

  4. Erzin, A.I. and Takhonov, I.I., The Problem of Finding a Balanced Flow, Sib. Zh. Industr. Mat., 2006, vol. 9, no. 4 (28), pp. 50–63.

    MathSciNet  Google Scholar 

  5. Feller, W., An Introduction to Probability Theory and Its Applications, New York: Wiley, 1968, vol. 1.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Original Russian Text © O.P. Kuznetsov, 2009, published in Avtomatika i Telemekhanika, 2009, No. 11, pp. 136–147.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kuznetsov, O.P. Uniform resource networks I. Complete graphs. Autom Remote Control 70, 1889–1900 (2009). https://doi.org/10.1134/S0005117909110137

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0005117909110137

PACS number

Navigation