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020 _a9781498710169
082 _a519.5
_bSieL
100 _aSierksma, Gerard
245 _aLinear and Integer Optimization :
_bTheory and Practice /
_cGerard Sierksma, Yori Zwols
250 _a3rd ed.
260 _bCRC Press :
_aBoca Raton ,
_c©2015.
300 _axxix,656p.
440 _aAdvances in Applied Mathematics :
520 _aPresenting a strong and clear relationship between theory and practice, Linear and Integer Optimization: Theory and Practice is divided into two main parts. The first covers the theory of linear and integer optimization, including both basic and advanced topics. Dantzig’s simplex algorithm, duality, sensitivity analysis, integer optimization models, and network models are introduced. More advanced topics also are presented including interior point algorithms, the branch-and-bound algorithm, cutting planes, complexity, standard combinatorial optimization models, the assignment problem, minimum cost flow, and the maximum flow/minimum cut theorem.The second part applies theory through real-world case studies. The authors discuss advanced techniques such as column generation, multiobjective optimization, dynamic optimization, machine learning (support vector machines), combinatorial optimization, approximation algorithms, and game theory.Besides the fresh new layout and completely redesigned figures, this new edition incorporates modern examples and applications of linear optimization. The book now includes computer code in the form of models in the GNU Mathematical Programming Language (GMPL). The models and corresponding data files are available for download and can be readily solved using the provided online solver.This new edition also contains appendices covering mathematical proofs, linear algebra, graph theory, convexity, and nonlinear optimization. All chapters contain extensive examples and exercises. This textbook is ideal for courses for advanced undergraduate and graduate students in various fields including mathematics, computer science, industrial engineering, operations research, and management science.
650 _aLinear Optimization
650 _aStatistical Mathematics
700 _aZwols, Yori
942 _cBK
999 _c7416
_d7416