Abstract

This paper deals with one of the canonical problems in networked systems - the resource allocation problem, that is based on user equilibrium principle. The user equilibrium principle was formulated in the middle of XX-th century by John Wardrop. Resource allocation problem has widespread applications. Urban road networks, financial networks, power grids and other systems could be modeled as network equilibrium problems with convex performance functions. The present paper is focused on the resource allocation problem with convex non-smooth piecewise linear nondecreasing performance function. The constructive tool to cope with such problem was developed.

Original languageEnglish
Title of host publication2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781509062607
DOIs
Publication statusPublished - 10 Jul 2017
Event2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017: dedicated to the Memory of V.F. Demyanov - Saint-Petersburg
Duration: 21 May 201726 May 2017
http://www.pdmi.ras.ru/EIMI/2017/CNSA/

Conference

Conference2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017
Abbreviated titleCNSA 2017
CountryRussian Federation
CitySaint-Petersburg
Period21/05/1726/05/17
Internet address

Scopus subject areas

  • Modelling and Simulation
  • Analysis
  • Applied Mathematics
  • Control and Optimization

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