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Methods for Traffic Flow Assignment in Road Networks

  • Alexander KrylatovEmail author
  • Victor Zakharov
  • Tero Tuovinen
Chapter
Part of the Springer Tracts on Transportation and Traffic book series (STTT, volume 15)

Abstract

In this chapter is devoted to approaches for solving traffic flow assignment problems. The most popular gradient descent method for solving traffic assignment problems is discussed in the first section. New projection algorithms based on the obtained, explicitly fixed-point operators for the route-flow assignment problem and link-route assignment problem are presented in the third and fourth sections respectively. Obtained operators is proved to be contractive that leads to the linear convergence of provided algorithms. Moreover, under some fairly natural conditions the algorithms converge quadratically. The technique for representing a linear route-flow assignment problem in the form of a system of linear equations is presented in the fourth section. A simple example demonstrates the evident usability of the developed technique for its implementation and further extensions.

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Copyright information

© The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Institute of Transport ProblemsRussian Academy of SciencesSaint PetersburgRussia
  2. 2.Faculty of Applied Mathematics and Control ProcessesSaint Petersburg State UniversitySaint PetersburgRussia
  3. 3.Faculty of Information TechnologyUniversity of JyväskyläJyväskyläFinland

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