Comparison of direct optimization algorithms for dynamic network flow control

DOI10.1002/OCA.4660090206zbMath0653.49021OpenAlexW2089433850MaRDI QIDQ3799246

Robert Mayr, Markos Papageorgiou

Publication date: 1988

Published in: Optimal Control Applications and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/oca.4660090206

zbMATH Keywords

Scalingconjugate gradient and variable metric methodsDirect optimization algorithmsdynamic non-linear optimal control problemsmulti-reservoir control

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Numerical methods based on nonlinear programming (49M37) Deterministic network models in operations research (90B10) Application models in control theory (93C95) Control/observation systems governed by ordinary differential equations (93C15) Methods of reduced gradient type (90C52) Mathematical programming (90C99)

Cites Work

• The conjugate gradient method for optimal control problems with bounded control variables
• The Status of Nonlinear Programming Software
• Conjugate Gradient Algorithms: Quadratic Termination without Linear Searches
• Partial conjugate gradient methods for a class of optimal control problems
• Quasi-Newton Methods, Motivation and Theory
• A nonlinear programming approach to a very large hydroelectric system optimization
• A Rapidly Convergent Descent Method for Minimization
• Function minimization by conjugate gradients

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