Method and system for optimization of general problems

Data processing: generic control systems or specific application – Generic control system – apparatus or process – Optimization or adaptive control

Reexamination Certificate

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Reexamination Certificate

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07072723

ABSTRACT:
Embodiments of the disclosed inventinn include optimization methods and systems that receive a mathematical description of a system, in symbolic form, that includes decision variables of various types, including real-number-valued, integer-valued, and Bloolean-valued decision variables, and that may also include a variety of constraints on the values of the decision variables, including inequality and equality constraints. The objective function and constraints are incorporated into a global objective function. The global objective function is transformed into a system of differential equations in terms of continuous variables and parameters, so that polynomial-time methods for solving differential equations can be applied to calculate near-optimal solutions for the global objective function.

REFERENCES:
patent: 2003/0130970 (2003-07-01), Walster et al.
patent: 2003/0220772 (2003-11-01), Chlang et al.
patent: 2004/0101083 (2004-05-01), Russell et al.
patent: 2004/0122317 (2004-06-01), Heim
patent: 2004/0257026 (2004-12-01), Rogers et al.
patent: 2004/0267395 (2004-12-01), Discenzo et al.

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