Поиск оптимальной по стоимости строительства траектории дороги на рельефе местности

Translated title of the contribution: Searching for the cost-optimal road trajectory on the relief of the terrain

М. Э. Аббасов, А. С. Шарлай

Research output: Contribution to journalArticlepeer-review

Abstract

The article analyzes the problem of obtaining the cost-optimal trajectory for building a road. Using the apparatus of mathematical modelling, the authors derive the cost functional, the argument of which is the function that describes the path trajectory. The resulting functional after some additional transformations is written in a simpler form. For the problem of the calculus of variations obtained in this manner, an optimality condition is derived. This condition takes into account the specifics of the constructed functional. Unlike the classical Euler-Lagrange condition, it leads not to a differential, but to an integro-differential equation. An illustrative example of the numerical solution of the obtained equation using the methods of computational mathematics is provided.

Translated title of the contributionSearching for the cost-optimal road trajectory on the relief of the terrain
Original languageRussian
Pages (from-to)4-12
JournalВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. СЕРИЯ 10: ПРИКЛАДНАЯ МАТЕМАТИКА, ИНФОРМАТИКА, ПРОЦЕССЫ УПРАВЛЕНИЯ
Volume17
Issue number1
DOIs
StatePublished - 2021

Scopus subject areas

  • Computer Science(all)
  • Control and Optimization
  • Applied Mathematics

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