Title
Graph-based algorithms for the efficient solution of optimization problems involving monotone functions.
Abstract
In this paper, we address a class of specially structured problems that include speed planning, for mobile robots and robotic manipulators, and dynamic programming. We develop two new numerical procedures, that apply to the general case and to the linear subcase. With numerical experiments, in the linear case we show that the proposed algorithms outperform generic commercial solvers.
Year
DOI
Venue
2019
10.1007/s10589-019-00070-4
Comp. Opt. and Appl.
Keywords
Field
DocType
Computational methods, Acceleration of convergence, Dynamic programming, Linear programming, Complete lattices, 90C35, 90-08, 90-04, 65B99, 90C39, 06B23
Graph,Dynamic programming,Mathematical optimization,Algorithm,Linear programming,Robot manipulator,Optimization problem,Monotone polygon,Mobile robot,Mathematics
Journal
Volume
Issue
ISSN
73
1
1573-2894
Citations 
PageRank 
References 
2
0.38
6
Authors
3
Name
Order
Citations
PageRank
Luca Consolini127631.16
Mattia Laurini232.77
Marco Locatelli392680.28