LEADER 03240nam  22005534a 450 
001 9910816166103321
005 20200520144314.0
010   $a0-306-48045-X
024 7 $a10.1007/b101970
035   $a(CKB)1000000000024314
035   $a(DE-He213)978-0-306-48045-4
035   $a(MiAaPQ)EBC3035915
035   $a(MiAaPQ)EBC197664
035   $a(Au-PeEL)EBL197664
035   $a(OCoLC)614599810
035   $a(PPN)237933985
035   $a(EXLCZ)991000000000024314
100   $a20020424d2002      uy         0
101 0 $aeng
135   $aurnn#008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aFoundations of bilevel programming /$fby Stephan Dempe
205   $a1st ed.
210   $aDordrecht ;$aBoston $cKluwer Academic$dc2002
215   $a1 online resource (VIII, 309 p.)
225 1 $aNonconvex optimization and its applications ;$vv. 61
311   $a1-4020-0631-4 
320   $aIncludes bibliographical references (p. 283-302) and index.
327   $aApplications -- Linear Bilevel Problems -- Parametric Optimization -- Optimality Conditions -- Solution Algorithms -- Nonunique Lower Level Solution -- Discrete Bilevel Problems.
330   $aBilevel programming problems are hierarchical optimization problems where the constraints of one problem (the so-called upper level problem) are defined in part by a second parametric optimization problem (the lower level problem). If the lower level problem has a unique optimal solution for all parameter values, this problem is equivalent to a one-level optimization problem having an implicitly defined objective function. Special emphasize in the book is on problems having non-unique lower level optimal solutions, the optimistic (or weak) and the pessimistic (or strong) approaches are discussed. The book starts with the required results in parametric nonlinear optimization. This is followed by the main theoretical results including necessary and sufficient optimality conditions and solution algorithms for bilevel problems. Stationarity conditions can be applied to the lower level problem to transform the optimistic bilevel programming problem into a one-level problem. Properties of the resulting problem are highlighted and its relation to the bilevel problem is investigated. Stability properties, numerical complexity, and problems having additional integrality conditions on the variables are also discussed. Audience: Applied mathematicians and economists working in optimization, operations research, and economic modelling. Students interested in optimization will also find this book useful.
410  0$aNonconvex optimization and its applications ;$vv. 61.
606   $aProgramming (Mathematics)
606   $aMathematical optimization
615  0$aProgramming (Mathematics)
615  0$aMathematical optimization.
676   $a519.7
686   $a90C30$2msc
686   $a34-01$2msc
700   $aDempe$b Stephan$0846416
712 02$aSpringerLink (Online service)
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910816166103321
996   $aFoundations of Bilevel Programming$94042105
997   $aUNINA