More information about the theory behind MathOptimizer
Professional and its applications can be found in the following
publications.
Kampas, Frank J. and János D. Pintér and Ignacio Castillo. "General Ellipse
Packings in an Optimized Circle Using Embedded Lagrange Multipliers." Wolfram
information Center (2019). [online version]
Pintér, J. D. Global Optimization in Action. Kluwer
Academic Publishers, Dordrecht, 1996.
Pintér, J. D. Computational Global Optimization in Nonlinear
Systems: An Interactive Tutorial. Lionheart Publishing, Inc., Atlanta,
2001.
Pintér, J. D. "Global Optimization: Software, Test Problems,
and Applications." In Handbook of Global
Optimization, Vol. 2, P. M. Pardalos and H. E. Romeijn,
eds., pp. 515-569. Kluwer Academic Publishers, Dordrecht, 2002.
Pintér, J. D. "Globally Optimized Calibration of Nonlinear
Models: Techniques, Software, and Applications." Optimization Methods
and Software 18 (2003) 3, 335–355.
Pintér, J. D. "The Potentials of Mathematica in Operations Research and
Related Applications." Wolfram Information Center (2003). [online version]
Pintér, J. D. and F. J. Kampas. "MathOptimizer
Professional: Introduction and Illustrative
Examples." Wolfram Information Center (2003). [online version]
Pintér, J. D. and C. J. Purcell. "Optimization of Finite
Element Models with MathOptimizer and ModelMaker." Presentation
at Mathematica Developer Conference (2003). [online
version]
Pintér, J. D., A. Bagirov, and J. Zhang. "An Illustrated
Collection of Global Optimization Test Problems." Research report.
CIAO-ITMS, University of Ballarat (2004).
Kampas, F. J. and J. D. Pintér, "Generalized Circle Packings:
Model Formulations and Numerical Results." In New
Ideas in Symbolic Computation: Proceedings of the 6th International
Mathematica Symposium, P. Mitic, C. J. Jacob, and J. Carne,
eds. Positive Corporation, Hampshire, 2004.
Pintér, J. D. "Global Optimization." MathWorld (2004).
[online version]
Pintér, J. D. and F. J. Kampas. "O.R. Model Development and
Optimization with Mathematica." In: The Next Wave in
Computing, Optimization, and Decision Technologies. B. Golden,
S. Raghavan, and E. Wasil, eds., pp. 285-302. Springer Science +
Business Media, New York, 2005.
Pintér, J. D. and F. J. Kampas. "Nonlinear Optimization
in Mathematica with MathOptimizer Professional."
Mathematica in Education and Research 10 (2005) 2, pp. 1–18.
Pintér, J. D. "Nonlinear Optimization in Modeling Environments:
Software Implementations for Compilers, Spreadsheets, Modeling
Languages, and Integrated Computing Systems." In Continuous
Optimization: Current Trends and Applications, V. Jeyakumar and
A. M. Rubinov, eds., pp. 147-173. Springer Science + Business Media,
New York, 2005.
Kampas, F. J. and J. D. Pintér. "Configuration Analysis
and Design by Using Optimization Tools in Mathematica." The
Mathematica Journal 10 (2006) 1, 128–154
Pintér, J. D. and F. J. Kampas. "MathOptimizer
Professional: Key Features and Illustrative Applications."
In: Global Optimization: From Theory to Implementation, L. Liberti
and N. Macaulan, eds., pp. 263–279. Springer Science + Business Media,
2006.
Pintér, J. D., ed. Global Optimization: Selected Case Studies. Springer Science + Business Media, New York, 2006.
Lasdon, L.S. and J. D. Pintér "Computational Global Optimization." In: TutORials in Operations Research, Published by the Institute for Operations
Research and the Management Sciences (INFORMS), Hanover, MD, 2007.
Castillo, I., F. J. Kampas and J. D. Pintér "Solving Circle Packing Problems by Global Optimization: Numerical Results and Industrial Applications". European Journal of Operational Research 191 (2008) 786–802.
Pintér, J. D., "Model Development and Optimization in Interactive Computing Environments." Central European Journal of Operations Research 16
(2008) 165–178.
Pintér, J. D. "Global Optimization in Practice: State-of-the-Art and Perspectives." In: Gao, D. Y. and Sherali, H. D., eds., Advances in Applied Mathematics and Global Optimization, pp. 377–404. Springer Science + Business Media, New York, 2009.
Pintér, J. D. "Software Development for Global Optimization." In: Pardalos, P.M. and T. F. Coleman, eds. Global Optimization: Methods and Applications, pp. 183–204. Fields Institute Communications Volume 55. Published by the American Mathematical
Society, Providence, RI, 2009.
Pintér, J. D. "Calibrating Artificial Neural Networks by Global Optimization." Expert Systems with Applications 39 (2012) 25–32.
Pintér, J. D. and F. J. Kampas "Benchmarking Nonlinear Optimization Software in Technical Computing Environments: Global Optimization in Mathematica with MathOptimizer Professional." TOP (An official journal of the Spanish Society of Statistics and Operations
Research) 21 (2013), 133–162.
Kampas, F.J. and J. D. Pintér "Globally Optimized Packings of Non-uniform Size Circles and Spheres: A Scalable Model Development and Algorithmic Solution
Approach." In: Fasano, G. and Pintér, J.D., eds., Optimized Packings with Applications. Springer Science + Business Media, New York, 2015.
Pintér, J. D. Optimization with Mathematica for Engineers and Scientists. Springer Science + Business Media, New York, 2015.
