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100   $a20121227d1998      u|             0
101 0 $aeng
135   $aurnn#008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aNonlinear Multiobjective Optimization$b[electronic resource] /$fby Kaisa Miettinen
205   $a1st ed. 1998.
210  1$aNew York, NY :$cSpringer US :$cImprint: Springer,$d1998.
215   $a1 online resource (XXI, 298 p.)
225 1 $aInternational Series in Operations Research & Management Science,$x0884-8289 ;$v12
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a0-7923-8278-1 
311   $a1-4613-7544-4 
320   $aIncludes bibliographical references and index.
327   $aI Terminology And Theory -- 2. Concepts -- 3. Theoretical Background -- II Methods -- 2. No-Preference Methods -- 3. A Posteriori Methods -- 4. A Priori Methods -- 5. Interactive Methods -- III Related Issues -- 1. Comparing Methods -- 2. Software -- 3. Graphical Illustration -- 4. Future Directions -- 5. Epilogue -- References.
330   $aProblems with multiple objectives and criteria are generally known as multiple criteria optimization or multiple criteria decision-making (MCDM) problems. So far, these types of problems have typically been modelled and solved by means of linear programming. However, many real-life phenomena are of a nonlinear nature, which is why we need tools for nonlinear programming capable of handling several conflicting or incommensurable objectives. In this case, methods of traditional single objective optimization and linear programming are not enough; we need new ways of thinking, new concepts, and new methods - nonlinear multiobjective optimization. Nonlinear Multiobjective Optimization provides an extensive, up-to-date, self-contained and consistent survey, review of the literature and of the state of the art on nonlinear (deterministic) multiobjective optimization, its methods, its theory and its background. The amount of literature on multiobjective optimization is immense. The treatment in this book is based on approximately 1500 publications in English printed mainly after the year 1980. Problems related to real-life applications often contain irregularities and nonsmoothnesses. The treatment of nondifferentiable multiobjective optimization in the literature is rather rare. For this reason, this book contains material about the possibilities, background, theory and methods of nondifferentiable multiobjective optimization as well. This book is intended for both researchers and students in the areas of (applied) mathematics, engineering, economics, operations research and management science; it is meant for both professionals and practitioners in many different fields of application. The intention has been to provide a consistent summary that may help in selecting an appropriate method for the problem to be solved. It is hoped the extensive bibliography will be of value to researchers.
410  0$aInternational Series in Operations Research & Management Science,$x0884-8289 ;$v12
606   $aOperations research
606   $aDecision making
606   $aMathematical optimization
606   $aCalculus of variations
606   $aOperations Research/Decision Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/521000
606   $aOptimization$3https://scigraph.springernature.com/ontologies/product-market-codes/M26008
606   $aCalculus of Variations and Optimal Control; Optimization$3https://scigraph.springernature.com/ontologies/product-market-codes/M26016
615  0$aOperations research.
615  0$aDecision making.
615  0$aMathematical optimization.
615  0$aCalculus of variations.
615 14$aOperations Research/Decision Theory.
615 24$aOptimization.
615 24$aCalculus of Variations and Optimal Control; Optimization.
676   $a658.40301
700   $aMiettinen$b Kaisa$4aut$4http://id.loc.gov/vocabulary/relators/aut$0594977
906   $aBOOK
912   $a9910480467203321
996   $aNonlinear multiobjective optimization$9993836
997   $aUNINA