Path-integral control for optimal vehicle routing over nonlinear and dynamic traffic networks

Yasuaki Wasa, Takashi Tanaka

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We consider an optimal route selection problem for ride-hailing service providers in stochastic and nonlinear road traffic environments described by the Lighthill-Whitham-Richards model. We show that the considered class of optimal control problem has a structure to which Kappen's path-integral control formalism is applicable. The effectiveness of the control synthesis based on the forward-in-time Monte-Carlo sampling suggested by the path-integral control is investigated via numerical studies. The path-integral control framework is generalized to compute a team solution to a two-player route selection problem where two ride-hailing companies collaborate on a shared transportation infrastructure.

Original languageEnglish
Title of host publication2019 18th European Control Conference, ECC 2019
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages2189-2196
Number of pages8
ISBN (Electronic)9783907144008
DOIs
Publication statusPublished - 2019 Jun 1
Event18th European Control Conference, ECC 2019 - Naples, Italy
Duration: 2019 Jun 252019 Jun 28

Publication series

Name2019 18th European Control Conference, ECC 2019

Conference

Conference18th European Control Conference, ECC 2019
CountryItaly
CityNaples
Period19/6/2519/6/28

ASJC Scopus subject areas

  • Instrumentation
  • Control and Optimization

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  • Cite this

    Wasa, Y., & Tanaka, T. (2019). Path-integral control for optimal vehicle routing over nonlinear and dynamic traffic networks. In 2019 18th European Control Conference, ECC 2019 (pp. 2189-2196). [8796248] (2019 18th European Control Conference, ECC 2019). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.23919/ECC.2019.8796248