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Decomposition Techniques in Mathematical Programming - Engineering and Science Applications (Hardcover, 2006 ed.)
Loot Price: R6,624
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Decomposition Techniques in Mathematical Programming - Engineering and Science Applications (Hardcover, 2006 ed.)
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Optimization plainly dominates the design, planning, operation, and
c- trol of engineering systems. This is a book on optimization that
considers particular cases of optimization problems, those with a
decomposable str- ture that can be advantageously exploited. Those
decomposable optimization problems are ubiquitous in engineering
and science applications. The book considers problems with both
complicating constraints and complicating va- ables, and analyzes
linear and nonlinear problems, with and without in- ger variables.
The decomposition techniques analyzed include Dantzig-Wolfe,
Benders, Lagrangian relaxation, Augmented Lagrangian decomposition,
and others. Heuristic techniques are also considered. Additionally,
a comprehensive sensitivity analysis for characterizing the
solution of optimization problems is carried out. This material is
particularly novel and of high practical interest. This book is
built based on many clarifying, illustrative, and compu- tional
examples, which facilitate the learning procedure. For the sake of
cl- ity, theoretical concepts and computational algorithms are
assembled based on these examples. The results are simplicity,
clarity, and easy-learning. We feel that this book is needed by the
engineering community that has to tackle complex optimization
problems, particularly by practitioners and
researchersinEngineering, OperationsResearch,
andAppliedEconomics.The descriptions of most decomposition
techniques are available only in complex and specialized
mathematical journals, di?cult to understand by engineers. A book
describing a wide range of decomposition techniques, emphasizing
problem-solving, and appropriately blending theory and application,
was not previously availabl
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