Abstract: This paper is devoted to the problem of analyzing the emergence of a nonzero productflow between suppliers and consumers of a certain product that are distant from each other inspace. The problem is formulated as a problem of equilibrium flow assignment in a network ofhomogeneous goods represented by a digraph that models an integrated market for a certainproduct with multiple suppliers and consumers with linear functions of demand, supply, andtransportation. In the problem under study, an explicit form of conditions for identifying activevariables is obtained, as well as an explicit form of the optimal values of the unknown variables.The explicit form of the conditions for the emergence of a nonzero product flow betweensuppliers–consumers will allow developing methodological decision support tools in the field ofanalyzing spatial market relations within the framework of some integrated market ofhomogeneous goods.

Original languageEnglish
Pages (from-to)805-827
Number of pages23
JournalAutomation and Remote Control
Volume83
Issue number5
DOIs
StatePublished - 1 May 2022

    Research areas

  • flow assignment, network of homogeneous goods, nonlinear optimization

    Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

ID: 97430257