Multiple-phase train trajectory optimization with signalling and operational constraints

Survey of Numerical Methods for Trajectory Optimization

John T. Betts · Journal of Guidance Control and Dynamics · 1998 · 2.6K citations

Natural Sciences, Aerospace Engineering, Mechanical Engineering +14

SNOPT: An SQP Algorithm for Large-Scale Constrained Optimization

Philip E. Gill, Walter Murray, Michael A. Saunders · SIAM Journal on Optimization · 2002 · 1.6K citations

Natural Sciences, Aerospace Engineering, Computer Science +15

The pseudospectral Legendre method for discretizing optimal control problems

Gamal N. Elnagar, Mohammad Kazemi, Mohsen Razzaghi · IEEE Transactions on Automatic Control · 1995 · 714 citations

Natural Sciences, Computational Engineering, Computational Mechanics +15

Algorithm 902

Anil V. Rao, David A. Benson, Christopher L. Darby et al. · ACM Transactions on Mathematical Software · 2010 · 657 citations · Full text

Natural Sciences, Computer Science, Algorithms +12

On an optimal control problem of train operation

Eugene Khmelnitsky · IEEE Transactions on Automatic Control · 2000 · 572 citations

Natural Sciences, Mathematics, Optimization +15