LEADER 04306nam 22007335 450 001 9910298547403321 005 20250930134625.0 010 $a1-4614-7630-5 024 7 $a10.1007/978-1-4614-7630-6 035 $a(CKB)3710000000078538 035 $a(EBL)1398244 035 $a(SSID)ssj0000962898 035 $a(PQKBManifestationID)11511702 035 $a(PQKBTitleCode)TC0000962898 035 $a(PQKBWorkID)10976250 035 $a(PQKB)11715340 035 $a(DE-He213)978-1-4614-7630-6 035 $a(MiAaPQ)EBC6311693 035 $a(MiAaPQ)EBC1398244 035 $a(Au-PeEL)EBL1398244 035 $a(CaPaEBR)ebr10966125 035 $a(OCoLC)853676059 035 $a(PPN)172419573 035 $a(EXLCZ)993710000000078538 100 $a20130715d2014 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aLinear Programming $eFoundations and Extensions /$fby Robert J Vanderbei 205 $a4th ed. 2014. 210 1$aNew York, NY :$cSpringer US :$cImprint: Springer,$d2014. 215 $a1 online resource (421 p.) 225 1 $aInternational Series in Operations Research & Management Science,$x0884-8289 ;$v196 300 $aDescription based upon print version of record. 311 08$a1-4899-7376-1 311 08$a1-4614-7629-1 327 $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. 330 $aThis Fourth Edition introduces the latest theory and applications in optimization. It emphasizes constrained optimization, beginning with a substantial treatment of linear programming and then proceeding to convex analysis, network flows, integer programming, quadratic programming, and convex optimization. Readers will discover a host of practical business applications as well as non-business applications. Topics are clearly developed with many numerical examples worked out in detail. Specific examples and concrete algorithms precede more abstract topics. With its focus on solving practical problems, the book features free C programs to implement the major algorithms covered, including the two-phase simplex method, primal-dual simplex method, path-following interior-point method, and homogeneous self-dual methods. In addition, the author provides online JAVA applets that illustrate various pivot rules and variants of the simplex method, both for linear programming and for network flows. These C programs and JAVA tools can be found on the book's website. The website also includes new online instructional tools and exercises. 410 0$aInternational Series in Operations Research & Management Science,$x0884-8289 ;$v196 606 $aOperations research 606 $aDecision making 606 $aManagement science 606 $aMathematical optimization 606 $aOperations Research/Decision Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/521000 606 $aOperations Research, Management Science$3https://scigraph.springernature.com/ontologies/product-market-codes/M26024 606 $aOptimization$3https://scigraph.springernature.com/ontologies/product-market-codes/M26008 615 0$aOperations research. 615 0$aDecision making. 615 0$aManagement science. 615 0$aMathematical optimization. 615 14$aOperations Research/Decision Theory. 615 24$aOperations Research, Management Science. 615 24$aOptimization. 676 $a519.6 700 $aVanderbei$b Robert J$4aut$4http://id.loc.gov/vocabulary/relators/aut$0116989 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910298547403321 996 $aLinear programming$9415765 997 $aUNINA