Title
Path-Integral Control For Optimal Vehicle Routing Over Nonlinear And Dynamic Traffic Networks
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.
Year
DOI
Venue
2019
10.23919/ECC.2019.8796248
2019 18TH EUROPEAN CONTROL CONFERENCE (ECC)
Field
DocType
Citations 
Vehicle routing problem,Mathematical optimization,Path integral formulation,Optimal control,Nonlinear system,Computer science,Road traffic,Service provider,Sampling (statistics),Formalism (philosophy)
Conference
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Yasuaki Wasa101.69
Takashi Tanaka23412.22