Direct multiple shooting for computationally efficient train trajectory optimization

Authors

Dimitris Kouzoupis
Ishan Pendharkar
Jonathan Frey
Moritz Diehl
Francesco Corman

Document Type

Journal Article

Publication Date

2023

Subject Area

mode - rail, planning - methods

Keywords

Energy efficient train control, Direct optimal control, Nonlinear optimization

Abstract

Energy efficient train control has been an active field of research for several decades, with Pontryagin’s maximum principle and dynamic programming being the two most common approaches for the computation of optimal trajectories. In this paper, we detail how direct multiple shooting can be used in the same context and highlight its two main advantages: the flexibility in the problem formulation and the availability of computationally efficient open-source software. Using the proposed framework, which is made publicly available, we are able to solve particularly challenging train trajectory optimization problems within only a few seconds.

Rights

Permission to publish the abstract has been given by Elsevier, copyright remains with them.

Comments

Transportation Research Part C Home Page:

http://www.sciencedirect.com/science/journal/0968090X

Recommended Citation

Kouzoupis, D., Pendharkar, I., Frey, J., Diehl, M., & Corman, F. (2023). Direct multiple shooting for computationally efficient train trajectory optimization. Transportation Research Part C: Emerging Technologies, 152, 104170.