7 citations · 7 across the 2 of their papers we have counts for
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math.OC2020★ 7 cited
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…
math.OC2018
A Pseudospectral Approach to High Index DAE Optimal Control Problems
Harleigh C. Marsh, Mark Karpenko, Qi Gong
Historically, solving optimal control problems with high index differential algebraic equations (DAEs) has been considered extremely hard. Computational experience with Runge-Kutta…
math.OC2018
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…