journal article·2025-09-17Open access

Just-in-Time Optimal Routing in the Presence of Non-Uniform and Time-Evolving Uncertainty

Chady Ghnatios, Francisco Chinesta

Applied Sciences· Volume 15· Issue 18

Abstract

Trajectory planning aims to compute an optimal path and velocity of an agent through the minimization of a cost function. This paper proposes a just-in-time routing method, incorporating the stochastic minimization of a cost function, which ingests the effect of the agent’s environment evolving in space and time. The environment is considered known at present, but the uncertainty increases when advancing in time. To compute the optimal routing in such an uncertain environment, Euler–Lagrange equations will be formulated in a stochastic setting, to obtain a probabilistic optimal planning. With the cost function approximated by using a surrogate modeling based on deep neural networks, a neural formulation of the stochastic Euler–Lagrange equations is proposed and employed.
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Research context

OpenAlex topics: Autonomous Vehicle Technology and Safety · Traffic control and management · Evacuation and Crowd Dynamics

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Mechanical Engineering Department, University of North Florida, 1 UNF Drive, Jacksonville, FL 32224, USA

PIMM Research Laboratory, UMR 8006 CNRS-ENSAM-CNAM, Arts et Metiers Institute of Technology, 151 Boulevard de l’Hôpital, 75013 Paris, France

CNRS@CREATE 1 Create Way, #08-01 CREATE Tower, Singapore 138602, Singapore

Funding

National Research Foundation, Prime Minister Office, Singapore

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