Paper Info
Title
Optimal trajectory planning for trains using mixed integer linear programming
Abstract
The optimal trajectory planning for trains under constraints and fixed maximal arrival time is considered. The variable line resistance (including variable grade profile, tunnels, and curves) and arbitrary speed restrictions are included in this approach. The objective function is a trade-off between the energy consumption and the riding comfort. First, the nonlinear train model is approximated by a piece-wise affine model. Next, the optimal control problem is formulated as a mixed integer linear programming (MILP) problem, which can be solved efficiently by existing solvers. The good performance of this approach is demonstrated via a case study.
Year
DOI
Venue
2011
10.1109/ITSC.2011.6082884
ITSC
Keywords
Field
DocType
nonlinear train model,optimal control,objective function,variable line resistance,integer programming,linear programming,rail traffic control,planning,mixed integer linear programming,energy consumption,piecewise affine model,affine transforms,trains,optimal control problem,optimal trajectory planning,optimization,mixed integer programming
Affine transformation,Mathematical optimization,Optimal control,Nonlinear system,Control theory,Integer programming,Linear programming,Train,Optimal trajectory planning,Energy consumption,Mathematics
Conference
Volume
Issue
ISSN
null
null
2153-0009
ISBN
Citations 
PageRank 
978-1-4577-2198-4
3
0.57
References 
Authors
4
5
Name
Order
Citations
PageRank
Yihui Wang172.73
Hans Hellendoorn21673220.44
Bin Ning344838.24
Noortje Groot4162.36
Ton J. J. van den Boom510320.98