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This textbook for students and practitioners presents a practical approach to decomposition techniques in optimization. It provides an appropriate blend of theoretical background and practical applications in engineering and science, which makes the book interesting for practitioners, as well as engineering, operations research and applied economics graduate and postgraduate students. "Decomposition Techniques in Mathematical Programming" is based on clarifying, illustrative and computational examples and applications from electrical, mechanical, energy and civil engineering as well as applied mathematics and economics. It addresses decomposition in linear programming, mixed-integer linear programming, nonlinear programming, and mixed-integer nonlinear programming, and provides rigorous decomposition algorithms as well as heuristic ones. Practical applications are developed up to working algorithms that can be readily used. The theoretical background of the book is deep enough to be of interest to applied mathematicians. It includes end of chapter exercises and the solutions to the even numbered exercises are included as an appendix.
Decomposition (Mathematics) --- Programming (Mathematics) --- Engineering mathematics. --- Engineering --- Engineering analysis --- Mathematical analysis --- Mathematics --- Mathematical programming --- Goal programming --- Algorithms --- Functional equations --- Mathematical optimization --- Operations research --- Probabilities --- Operations research. --- Mathematics. --- Mathematical and Computational Engineering. --- Operations Research, Management Science. --- Operations Research/Decision Theory. --- Applications of Mathematics. --- Math --- Science --- Operational analysis --- Operational research --- Industrial engineering --- Management science --- Research --- System theory --- Applied mathematics. --- Management science. --- Decision making. --- Deciding --- Decision (Psychology) --- Decision analysis --- Decision processes --- Making decisions --- Management --- Management decisions --- Choice (Psychology) --- Problem solving --- Quantitative business analysis --- Statistical decision --- Decision making
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Decision Making Under Uncertainty in Electricity Markets provides models and procedures to be used by electricity market agents to make informed decisions under uncertainty. These procedures rely on well established stochastic programming models, which make them efficient and robust. Particularly, these techniques allow electricity producers to derive offering strategies for the pool and contracting decisions in the futures market. Retailers use these techniques to derive selling prices to clients and energy procurement strategies through the pool, the futures market and bilateral contracting. Using the proposed models, consumers can derive the best energy procurement strategies using the available trading floors. The market operator can use the techniques proposed in this book to clear simultaneously energy and reserve markets promoting efficiency and equity. The techniques described in this book are of interest for professionals working on energy markets, and for graduate students in power engineering, applied mathematics, applied economics, and operations research.
Electric utilities -- Management. --- Electric utilities. --- Electric Utilities --- Energy industries --- Decision making --- Business & Economics --- Management --- Management Theory --- Industries --- Mathematical models --- Finance --- Risk management --- Electric utilities --- Decision making. --- Electric companies --- Electric light and power industry --- Electric power industry --- Deciding --- Decision (Psychology) --- Decision analysis --- Decision processes --- Making decisions --- Management decisions --- Business. --- Operations research. --- Management science. --- Power electronics. --- Macroeconomics. --- Business and Management. --- Operation Research/Decision Theory. --- Power Electronics, Electrical Machines and Networks. --- Macroeconomics/Monetary Economics//Financial Economics. --- Operations Research, Management Science. --- Choice (Psychology) --- Problem solving --- Electric industries --- Public utilities --- Production of electric energy or. --- Operations Research/Decision Theory. --- Economics --- Operational analysis --- Operational research --- Industrial engineering --- Management science --- Research --- System theory --- Quantitative business analysis --- Operations research --- Statistical decision --- Electronics, Power --- Electric power --- Electronics --- Production of electric energy or power
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