• Home
  • Articles & Issues
    • Current
    • All Issues
  • About
    • Aims and Scope
    • Editorial Board
    • Indexing
    • Sources of Financing
  • For Authors
    • Submission
    • Terms of Publication
    • Formatting Guidelines
    • Peer Review Process
    • Article Processing Charges
    • License Agreement
  • Ethics & Policies
    • Publication Ethics
    • Conflict of Interest
    • Open Access Policy
    • Archiving
    • Complaints Policy
    • Privacy Statement
    • Corrections and Retractions
    • Anti-plagiarism Policy
    • Generative AI Policy
  • Search
  • Contacts
en English
  • Українська Українська

The National Transport University Bulletin

  • Submit an article
  • Home
  • Articles & Issues
    • Current
    • All Issues
  • About
    • Aims and Scope
    • Editorial Board
    • Indexing
    • Sources of Financing
  • For Authors
    • Submission
    • Terms of Publication
    • Formatting Guidelines
    • Peer Review Process
    • Article Processing Charges
    • License Agreement
  • Ethics & Policies
    • Publication Ethics
    • Conflict of Interest
    • Open Access Policy
    • Archiving
    • Complaints Policy
    • Privacy Statement
    • Corrections and Retractions
    • Anti-plagiarism Policy
    • Generative AI Policy
  • Search
  • Contacts

Article

  • Read article
  • Download article

Received 05.03.2022

Revised 10.07.2022

Accepted 22.08.2022

Retrieved from Vol. 26, No. 3, 2022

Pages 359 -369

  • 113 Views

Suggested citation

Topolskov, Ye., Viter, M., & Fedin, S. (2022). Models and algorithm of transportation route taking into account distances and probabilities of unconstrained passing for road transport. The National Transport University Bulletin, 26(3), 359-369. https://doi.org/10.33744/2308-6645-2022-3-53-359-369

Models and algorithm of transportation route taking into account distances and probabilities of unconstrained passing for road transport

Yevgenii Topolskov Mykhailo Viter S. Fedin

Abstract

The object of research is the processes of organization and planning of routed transportation by road transport. The purpose of the work is to substantiate the models and algorithms of transport routing, taking into account probabilistic factors. The research used a complex method of modeling, analysis and synthesis. Today, in the context of rising fuel prices and complicated logistics chains, the use of navigation technologies and computer systems is extremely important, which, using efficient routing algorithms, save fuel and facilitate the timely delivery of goods and passengers by road transport. Therefore, an important part of the software of the GPS system for monitoring routed traffic is a specialized module designed for optimal routes planning and control of the schedule of vehicles passing through control zones. An important task for the successful implementation of all functions of the routing module is the development of effective algorithms for computing optimal routes for transportation, suitable for use in real road conditions in case of accidents and congestion. However, the existing methods and algorithms for constructing and selecting the optimal routes of traffic mainly involve finding the shortest (cheapest) way of road transport without formalized taking into account the occurrence of traffic jams and turning aside the planned schedule. The article provides a formalized description of traffic flow routing models that will ensure the construction and selection of optimal routes for the probability of unconstrained passing of vehicles, as well as taking into account the shortest path between the starting and ending points. A matrix method and algorithm for finding the maximum probability of unconstrained passage are also proposed, which should be implemented within the routing software module of the automated GPS system for monitoring traffic in order to reduce operating costs and ensure in time delivery of goods and passengers.

 

Keywords:

software module of routing; route network; probability of unconstrained passing; triangular operator; matrix of probability logarithms; matrix of sequence of nodes; algorithm of finding the maximum probability of unconstrained passing; GPS monitoring of transportation by road transport

References

  1. Hulianytskyi L.F. Do klasyfikatsii zadach marshrutyzatsii transportnykh zasobiv [Regarding the classification of vehicle routing tasks] / L.F. Hulianytskyi, A.A. Kotkova // Naukovyi visnyk Uzhhorodskoho universytetu. Seriia «Matematyka ta informatyka», 1(36), 73–84. https://doi.org/10.24144/2616-7700.2020.1(36).73-84
  2. Ohurtsov M.I. Rozrobka alhorytmiv rozviazannia zadachi marshrutyzatsii transportnykh zasobiv z chasovymy viknamy [Development of algorithms for solving the problem of vehicle routing with time windows] / M.I. Ohurtsov, O.M. Khodzinskyi // Kompiuterna matematyka. Zbirnyk naukovykh prats Instytutu kibernetyky im. V.M. Hlushkova NAN Ukrainy. – 2016, Vyp. 1. – S.134
  3. Perederii A.O. Alhorytmy ta systemy optymalnoi avtomatychnoi kiltsevoi marshrutyzatsii [Algorithms and systems of optimal automatic ring routing] / A.O. Perederii, O.F. Kir`ianov // Visnyk KrNU imeni Mykhaila Ostrohradskoho. Vypusk 3/2013 (80).
  4. Serdiuk A.A. Alhorytmy marshrutyzatsii avtotransportu u merezhnykh modeliakh [Vehicle routing algorithms in network models] / A.A. Serdiuk, Ye.O. Topolskov // Upravlinnia proektamy, systemnyi analiz i lohistyka: Naukovyi zhurnal. Vyp. 2.– K.: NTU, TAU. – 2005.
  5. Bieliaievskyi L.S. Analiz vplyvu umov ekspluatatsii system informatsiino-navihatsiinoho zabezpechennia na efektyvnist roboty dyspetcherskykh tsentriv upravlinnia avtotransportom [Analysis of the influence of operating conditions of information and navigation support systems on the efficiency of operation of dispatch centers for motor vehicle management] / L.S. Bieliaievskyi, A.A. Serdiuk, Ye.O. Topolskov // Visnyk Pivnichnoho naukovoho tsentru TAU. – 2006. Vyp. 9. – S. 15.
  6. Bieliaievskyi L.S. Obgruntuvannia metodyk i alhorytmiv prostorovo-chasovoi obrobky navihatsiinoi informatsii v avtomatyzovanykh suputnykovykh systemakh upravlinnia nazemnym transportom [Justification of the methods and algorithms of space-time processing of navigation information in automated satellite land transport management systems] / L.S. Bieliaievskyi, Ye.O. Topolskov // Visnyk Pivnichnoho naukovoho tsentru TAU. – 2004. – Vyp.7. – s.51-55.
  7. Ventcel' E.S. Teorija verojatnostej [Theory of probability] – M.: Nauka, 1964. – 576 s.
  8. Ventcel' E.S. Prikladnye zadachi teorii verojatnostej [Applied tasks of the theory of probability] / E.S. Ventcel', L.A. Ovcharov. – M.: Radio i svjaz', 1983. – 226 s.
Share
Facebook
Twitter
LinkedIn
Email
Telegram
Viber
WhatsApp

https://doi.org/10.33744/2308-6645-2022-3-53-359-369

Address
01010, Ukraine, Kyiv,
1, M. Omelianovycha-Pavlenka Str.


Email
ntu@ntu-bulletin.com

Main information
  • Aims and Scope
  • Indexing
  • Terms of Publication
  • Editorial Board
  • Publication Ethics
Additional information
  • Complaints Policy
  • Peer Review Process
  • Open Access Policy
  • Anti-plagiarism Policy
  • Generative AI Policy
  • Archiving