Optimization Toolbox is an optimization software package developed by MathWorks. It is an add-on product to MATLAB, and provides a library of solvers that can be used from the MATLAB environment. The toolbox was first released for MATLAB in 1990.
Optimization algorithms
Optimization Toolbox has algorithms for:
Linear programming
Mixed-integer linear programming
Quadratic programming
Nonlinear programming
Linear least squares
Nonlinear least squares
Nonlinear equation solving
Multi-objective optimization
Applications
Engineering Optimization
Optimization Toolbox solvers are used for engineering applications in MATLAB, such as optimal control and optimal mechanical designs.[2][3]
Parameter Estimation
Optimization can help with fitting a model to data, where the goal is to identify the model parameters that minimize the difference between simulated and experimental data. Common parameter estimation problems that are solved with Optimization Toolbox include estimating material parameters and estimating coefficients of ordinary differential equations.[4][5]
Computational Finance
Portfolio optimization, cashflow matching, and other computational finance problems are solved with Optimization Toolbox.[6]
Utilities and Energy
Optimization Toolbox solvers are used for security constrained optimal power flow and power systems analysis.[7]
See also
Mathematical optimization
References
MathWorks - Optimization Toolbox - Requirements
Dragain, Andreas (2009). "Comparative Study of Numerical Methods for Optimal Control of a Biomechanical System" (PDF). Chalmers University of Technology. Retrieved 2013-07-01.
Rao, Singiresu (2009). Engineering Optimization: Theory and Practice. Hoboken, New Jersey: John Wiley & Sons. p. 36. ISBN 978-0-470-18352-6.
Banks, H.T.; et al. (2013). "Material parameter estimation and hypothesis testing on a 1D viscoelastic stenosis model: Methodology". Journal of Inverse and Ill-Posed Problems. 21 (1): 25–57. doi:10.1515/jip-2012-0081.
Collins Licata, A.; et al. (2001). "A Physiologically Based Pharmacokinetic Model for Methyl tert-Butyl Ether in Humans: Implementing Sensitivity and Variability Analyses". Toxicological Sciences. 62 (2): 191–204. doi:10.1093/toxsci/62.2.191. PMID 11452131.
Pachamanova, D. (2010). Simulation and Optimization in Finance + Web Site. Hoboken, New Jersey: John Wiley & Sons. ISBN 978-0-470-37189-3.
Cartina, G.; et al. (2007). "Power System Analysis using MATLAB Toolboxes". 6th International Conference on Electromechanical and Power Systems: 305–308.
Further reading
Venkataraman, P. (2009). "Optimization Toolbox from Matlab". Applied Optimization with MATLAB Programming (2nd ed.). Hoboken: John Wiley & Sons. pp. 469–488. ISBN 978-0-470-08488-5.
Undergraduate Texts in Mathematics
Graduate Studies in Mathematics
Hellenica World - Scientific Library
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