Title
Time-optimal velocity planning by a bound-tightening technique.
Abstract
Range reduction techniques often considerably enhance the performance of algorithmic approaches for the solution of nonconvex problems. In this paper we propose a range reduction technique for a class of optimization problems with some special structured constraints. The procedure explores and updates the values associated to the nodes of a suitably defined graph. Convergence of the procedure and some efficiency issues, in particular related to the order into which the nodes of the graph are explored. The proposed technique is applied to solve problems arising from a relevant practical application, namely velocity planning along a given trajectory. The computational experiments show the efficiency of the procedure and its ability of returning solutions within times much lower than those of nonlinear solvers and compatible with real-time applications.
Year
DOI
Venue
2018
https://doi.org/10.1007/s10589-017-9978-6
Comp. Opt. and Appl.
Keywords
Field
DocType
Range reduction,Velocity planning,Minimum-time problems,Local search
Convergence (routing),Graph,Mathematical optimization,Nonlinear system,Local search (optimization),Optimization problem,Trajectory,Mathematics
Journal
Volume
Issue
ISSN
70
1
0926-6003
Citations 
PageRank 
References 
1
0.39
18
Authors
3
Name
Order
Citations
PageRank
Federico Cabassi110.39
Luca Consolini227631.16
Marco Locatelli392680.28