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This book provides a postgraduate audience the keys they need to understand and further develop a set of tools for the efficient computation of lower bounds and valid inequalities in integer programs and combinatorial optimization problems. After discussing the classical approaches described in the literature, the book addresses how to extend these tools to other non-standard formulations that may be applied to a broad set of applications. Examples are provided to illustrate the underlying concepts and to pave the way for future contributions.

Business. --- Operations research. --- Decision making. --- Management science. --- Mathematical optimization. --- Business and Management. --- Operation Research/Decision Theory. --- Operations Research, Management Science. --- Discrete Optimization. --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Quantitative business analysis --- Deciding --- Decision (Psychology) --- Decision analysis --- Decision processes --- Making decisions --- Management --- Management decisions --- Operational analysis --- Operational research --- Trade --- Decision making --- Operations Research/Decision Theory. --- Industrial engineering --- Management science --- Research --- System theory --- Combinatorial optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Problem solving --- Statistical decision --- Choice (Psychology)