7 citations · 7 across the 1 of their papers we have counts for
4 papers · 1 filter
An Optimal Control Theory for the Traveling Salesman Problem and Its Variants
I. M. Ross, R. J. Proulx, M. Karpenko
We show that the traveling salesman problem (TSP) and its many variants may be modeled as functional optimization problems over a graph. In this formulation, all vertices and arcs…
Enhancements to the DIDO Optimal Control Toolbox
I. M. Ross
In 2020, DIDO turned 20! The software package emerged in 2001 as a basic, user-friendly MATLAB teaching-tool to illustrate the various nuances of Pontryagin's Princ…
A Direct Shooting Method is Equivalent to an Indirect Method
I. M. Ross
We show that a direct shooting method is mathematically equivalent to an indirect method in the sense of certain first-order conditions. Specific mathematical formulas pertaining t…
Scaling and Balancing for High-Performance Computation of Optimal Controls
I. M. Ross, Q. Gong, M. Karpenko +1
It is well-known that proper scaling can increase the efficiency of computational problems. In this paper we define and show that a balancing technique can substantially improve th…