000 02664cam a2200277 a 4500
999 _c28468
_d28468
001 63243
020 _a978-1461476290
040 _aDLC
082 0 0 _a519.6
100 1 _aVanderbei, Robert J.
_958931
245 1 0 _aLinear programming :
_bfoundations and extensions
_cRobert J. Vanderbei
250 _a4th ed.
260 _aNew York :
_bSpringer,
_cc2014.
300 _axxii, 414 p. :
_bill. ;
_c25 cm.
490 0 _aInternational series in operations research and management science ;
_v196
504 _aIncludes bibliographical references (p. 449-456) and index.
505 0 _aIntroduction -- The Simplex Method -- Degeneracy -- Efficiency of the Simplex Method -- Duality Theory -- The Simplex Method in Matrix Notation -- Sensitivity and Parametric Analyses -- Implementation Issues -- Problems in General Form -- Convex Analysis -- Game Theory -- Regression -- Financial Applications -- Network-Type Problems -- Applications -- Structural Optimization -- The Central Path -- A Path-Following Method -- The KKT System -- Implementation Issues -- The Affine-Scaling Method -- The Homogeneous Self-Dual Method -- Integer Programming -- Quadratic Programming -- Convex Programming.
520 _aThis Fourth Edition introduces the latest theory and applications in optimization. It emphasizes constrained optimization, beginning with a substantial treatment of linear programming and then proceeding to convex analysis, network flows, integer programming, quadratic programming, and convex optimization. Readers will discover a host of practical business applications as well as non-business applications. Topics are clearly developed with many numerical examples worked out in detail. Specific examples and concrete algorithms precede more abstract topics. With its focus on solving practical problems, the book features free C programs to implement the major algorithms covered, including the two-phase simplex method, primal-dual simplex method, path-following interior-point method, and homogeneous self-dual methods. In addition, the author provides online JAVA applets that illustrate various pivot rules and variants of the simplex method, both for linear programming and for network flows. These C programs and JAVA tools can be found on the book's website. The website also includes new online instructional tools and exercises.
526 0 _aECTE469
650 0 _aLinear programming
_958932
650 0 _aMathematical optimization
_914409
650 7 _aGame Theory
_95985
650 7 _aConvex Analysis
_958933
856 _uhttps://uowd.box.com/s/qb1me0s3046evk008bsvl8f0v0cngh64
_zLocation Map
942 _cREGULAR
_2ddc