04306nam 22007335 450 991029854740332120250930134625.01-4614-7630-510.1007/978-1-4614-7630-6(CKB)3710000000078538(EBL)1398244(SSID)ssj0000962898(PQKBManifestationID)11511702(PQKBTitleCode)TC0000962898(PQKBWorkID)10976250(PQKB)11715340(DE-He213)978-1-4614-7630-6(MiAaPQ)EBC6311693(MiAaPQ)EBC1398244(Au-PeEL)EBL1398244(CaPaEBR)ebr10966125(OCoLC)853676059(PPN)172419573(EXLCZ)99371000000007853820130715d2014 u| 0engur|n|---|||||txtccrLinear Programming Foundations and Extensions /by Robert J Vanderbei4th ed. 2014.New York, NY :Springer US :Imprint: Springer,2014.1 online resource (421 p.)International Series in Operations Research & Management Science,0884-8289 ;196Description based upon print version of record.1-4899-7376-1 1-4614-7629-1 Introduction -- 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.This 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.International Series in Operations Research & Management Science,0884-8289 ;196Operations researchDecision makingManagement scienceMathematical optimizationOperations Research/Decision Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/521000Operations Research, Management Sciencehttps://scigraph.springernature.com/ontologies/product-market-codes/M26024Optimizationhttps://scigraph.springernature.com/ontologies/product-market-codes/M26008Operations research.Decision making.Management science.Mathematical optimization.Operations Research/Decision Theory.Operations Research, Management Science.Optimization.519.6Vanderbei Robert Jauthttp://id.loc.gov/vocabulary/relators/aut116989MiAaPQMiAaPQMiAaPQBOOK9910298547403321Linear programming415765UNINA