Mathematical model of network flow control

I. V. Zaitseva, O. A. Malafeyev, V. V. Zakharov, T. E. Smirnova, L. M. Novozhilova

Research output: Contribution to journalConference articlepeer-review


In this paper, we consider a network whose nodes are regions between which it is necessary to distribute electricity coming from its source. Any power plant is a complex economic system that always combines simple concepts-the need to supply the power plant with the main resource for the production of electricity and the need to sell the generated electricity. In this model, due to the need to sell electricity to two regions, the prices for the sale of electricity do not matter. Profit maximization is achieved by minimizing production costs. The optimal policy for generating electricity in the i-th time period is found.

Original languageEnglish
Article number012036
JournalIOP Conference Series: Materials Science and Engineering
Issue number1
StatePublished - 7 Jul 2020
Event1st International Conference on Innovative Informational and Engineering Technologies, IIET 2020 - Stavropol, Russian Federation
Duration: 28 May 202029 May 2020

Scopus subject areas

  • Materials Science(all)
  • Engineering(all)


  • control
  • flows
  • mathematical model
  • network
  • optimal policy
  • region
  • system


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