title: Method for finding the cost-optimal road trajectory on the surface of the terrain
metadata.name: dc.contributor.author
metadata.value: Abbasov, Majid E.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Sharlay, Artyom S.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2023-08-22T09:48:20Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2023-08-22T09:48:20Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2023-06
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Abbasov M. E., Sharlay A. S. Method for finding the cost-optimal road trajectory on the surface of the terrain. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2023, vol. 19, iss. 2, pp. 139–147.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu10.2023.201
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/43823
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The paper studies a method for finding the cost-optimal trajectory of a road connecting two points on a given terrain. Situations are considered when the cost of delivery of materials is a constant value, as well as a more general formulation of the problem, in which the cost of delivery depends on the coordinate of a point. In each case, an integral functional is constructed cost, the argument in which is a function that describes the trajectory of the path. The Ritz method is used to find an approximate solution. It is set analytically, in the form of a trigonometric polynomial, which increases the convenience of processing and further research of the results obtained in comparison with the numerical solution of the necessary conditions for the extremum of the investigated functional. The paper also discusses the problem of convergence. Illustrative examples are given.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: This research was supported by the Russian Science Foundation, project N 23-21-00027;
  https://rscf.ru/project/23-21-00027/
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Vestnik of St Petersburg University. Applied Mathematics. Computer Science. Control Processes;Volume 19; Issue 2
metadata.lang: -
metadata.name: dc.subject
metadata.value: calculus of variations
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: optimization
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Ritz method
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: trigonometric polynomial
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Method for finding the cost-optimal road trajectory on the surface of the terrain
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 01.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/43823/1/01.pdf
resources.format: Adobe PDF
resources.size: 527,33 kB