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"Written in a conversational tone, this classroom-tested text introduces the fundamentals of linear programming and game theory, showing readers how to apply serious mathematics to practical real-life questions by modelling linear optimization problems and strategic games. The treatment of linear programming includes two distinct graphical methods. The game theory chapters include a novel proof of the minimax theorem for 2x2 zero-sum games. In addition to zero-sum games, the text presents variable-sum games, ordinal games, and n-player games as the natural result of relaxing or modifying the assumptions of zero-sum games. All concepts and techniques are derived from motivating examples, building in complexity, which encourages students to think creatively and leads them to understand how the mathematics is applied. With no prerequisite besides high school algebra, the text will be useful to motivated high school students and undergraduates studying business, economics, mathematics, and
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Publication is available from the National Renewable Energy Laboratory Publications database, https://www.nrel.gov/research/publications.html https://purl.fdlp.gov/GPO/gpo109819 https://purl.fdlp.gov/GPO/gpo109819
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"Model predictive control (MPC), the dominant advanced control approach in industry over the past twenty-five years, is presented comprehensively in this unique book. With a simple, unified approach, and with attention to real-time implementation, it covers predictive control theory including the stability, feasibility, and robustness of MPC controllers. The theory of explicit MPC, where the nonlinear optimal feedback controller can be calculated efficiently, is presented in the context of linear systems with linear constraints, switched linear systems, and, more generally, linear hybrid systems. This book describes the techniques required to design predictive control laws, including algorithms for polyhedral manipulations, mathematical, and multi-parametric programming. Through many examples, the authors show how to validate the theoretical properties and to implement predictive control policies. Examples of the most important algorithms are featured in an accompanying free online; to
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Table of contents http://catdir.loc.gov/catdir/enhancements/fy0708/2001054242-t.html Publisher description http://catdir.loc.gov/catdir/enhancements/fy0708/2001054242-d.html
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Contributor biographical information http://www.loc.gov/catdir/bios/wiley043/99088732.html Publisher description http://www.loc.gov/catdir/description/wiley035/99088732.html Table of Contents http://www.loc.gov/catdir/toc/onix06/99088732.html
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Publisher description http://catdir.loc.gov/catdir/enhancements/fy0814/89011257-d.html Table of contents only http://catdir.loc.gov/catdir/enhancements/fy0814/89011257-t.html Inhaltsverzeichnis http://www.gbv.de/dms/hbz/toc/ht003340096.pdf Inhaltstext http://www.zentralblatt-math.org/zmath/en/search/?an=0709.90075
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