Holdings: Variable Ordering Structures in Vector Optimization

Variable Ordering Structures in Vector Optimization:

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Bibliographic Details
Main Author:	Eichfelder, Gabriele 1977- (Author)
Format:	Electronic eBook
Language:	English
Published:	Berlin, Heidelberg Springer Berlin Heidelberg 2014
Series:	Vector Optimization
Subjects:	Mathematik Mathematics Mathematical optimization Operations research Mehrkriterielle Optimierung
Online Access:	BFB01 BTU01 FHA01 FHM01 FHN01 FHR01 FKE01 FLA01 FNU01 FRO01 HWR01 TUM01 UBA01 UBG01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract
Physical Description:	1 Online-Ressource (XIII, 190 p. 41 illus)
ISBN:	9783642542831
DOI:	10.1007/978-3-642-54283-1

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adam_text	VARIABLE ORDERING STRUCTURES IN VECTOR OPTIMIZATION / EICHFELDER, GABRIELE : 2014 TABLE OF CONTENTS / INHALTSVERZEICHNIS 1 VARIABLE ORDERING STRUCTURES 2 OPTIMALITY CONCEPTS AND THEIR CHARACTERIZATION 3 PROPERTIES OF CONE-VALUED MAPS 4 LINEAR SCALARIZATIONS 5 NONLINEAR SCALARIZATIONS 6 SCALARIZATION FOR VARIABLE ORDERINGS GIVEN BY BISHOP-PHELPS CONES 7 OPTIMALITY CONDITIONS 8 DUALITY RESULTS 9 NUMERICAL METHODS 10 OUTLOOK AND FURTHER APPLICATION AREAS DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. VARIABLE ORDERING STRUCTURES IN VECTOR OPTIMIZATION / EICHFELDER, GABRIELE : 2014 ABSTRACT / INHALTSTEXT THIS BOOK PROVIDES AN INTRODUCTION TO VECTOR OPTIMIZATION WITH VARIABLE ORDERING STRUCTURES, I.E., TO OPTIMIZATION PROBLEMS WITH A VECTOR-VALUED OBJECTIVE FUNCTION WHERE THE ELEMENTS IN THE OBJECTIVE SPACE ARE COMPARED BASED ON A VARIABLE ORDERING STRUCTURE: INSTEAD OF A PARTIAL ORDERING DEFINED BY A CONVEX CONE, WE SEE A WHOLE FAMILY OF CONVEX CONES, ONE ATTACHED TO EACH ELEMENT OF THE OBJECTIVE SPACE.THE BOOK STARTS BY PRESENTING SEVERAL APPLICATIONS THAT HAVE RECENTLY SPARKED NEW INTEREST IN THESE OPTIMIZATION PROBLEMS, AND GOES ON TO DISCUSS FUNDAMENTALS AND IMPORTANT RESULTS ON A WIDE RANGE OF TOPICS. THE THEORY DEVELOPED INCLUDES VARIOUS OPTIMALITY NOTIONS, LINEAR AND NONLINEAR SCALARIZATION FUNCTIONALS, OPTIMALITY CONDITIONS OF FERMAT AND LAGRANGE TYPE, EXISTENCE AND DUALITY RESULTS. THE BOOK CLOSES WITH A COLLECTION OF NUMERICAL APPROACHES FOR SOLVING THESE PROBLEMS IN PRACTICE DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
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spelling	Eichfelder, Gabriele 1977- Verfasser (DE-588)132055252 aut Variable Ordering Structures in Vector Optimization Gabriele Eichfelder Berlin, Heidelberg Springer Berlin Heidelberg 2014 1 Online-Ressource (XIII, 190 p. 41 illus) txt rdacontent c rdamedia cr rdacarrier Vector Optimization Mathematik Mathematics Mathematical optimization Operations research Mehrkriterielle Optimierung (DE-588)4610682-0 gnd rswk-swf Mehrkriterielle Optimierung (DE-588)4610682-0 s DE-604 Erscheint auch als Druckausgabe 978-3-642-54282-4 https://doi.org/10.1007/978-3-642-54283-1 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027284204&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027284204&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract
spellingShingle	Eichfelder, Gabriele 1977- Variable Ordering Structures in Vector Optimization Mathematik Mathematics Mathematical optimization Operations research Mehrkriterielle Optimierung (DE-588)4610682-0 gnd
subject_GND	(DE-588)4610682-0
title	Variable Ordering Structures in Vector Optimization
title_auth	Variable Ordering Structures in Vector Optimization
title_exact_search	Variable Ordering Structures in Vector Optimization
title_full	Variable Ordering Structures in Vector Optimization Gabriele Eichfelder
title_fullStr	Variable Ordering Structures in Vector Optimization Gabriele Eichfelder
title_full_unstemmed	Variable Ordering Structures in Vector Optimization Gabriele Eichfelder
title_short	Variable Ordering Structures in Vector Optimization
title_sort	variable ordering structures in vector optimization
topic	Mathematik Mathematics Mathematical optimization Operations research Mehrkriterielle Optimierung (DE-588)4610682-0 gnd
topic_facet	Mathematik Mathematics Mathematical optimization Operations research Mehrkriterielle Optimierung
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