Continuous multiobjective programming

Margaret M. Wiecek; Matthias Ehrgott; Alexander Engau

doi:10.1007/978-1-4939-3094-4_18

Continuous multiobjective programming

Margaret M. Wiecek, Matthias Ehrgott, Alexander Engau

Rowe School of Business

Management

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

31 Citas (Scopus)

Resumen

We present our view of the state of the art in continuous multiobjective programming. After an introduction we formulate the multiobjective program (MOP) and define the most important solution concepts in Sect. 18.2. In Sect. 18.3 we summarize properties of efficient and nondominated sets. Optimality conditions are reviewed in Sect. 18.4. The main part of the chapter consists of Sects. 18.5 and 18.6 that deal with solution techniques for MOPs and approximation of efficient and nondominated sets. In Sect. 18.7 we discuss specially-structured problems including linear, nonlinear, parametric, and bilevel MOPs. In Sect. 18.8 we present our perspective on future research directions.

Idioma original	English
Páginas (desde-hasta)	739-815
Número de páginas	77
Publicación	International Series in Operations Research and Management Science
Volumen	233
DOI	https://doi.org/10.1007/978-1-4939-3094-4_18
Estado	Published - 2016

Nota bibliográfica

Publisher Copyright:
© Springer Science+Business Media New York 2016.

ASJC Scopus Subject Areas

Software
Computer Science Applications
Strategy and Management
Management Science and Operations Research
Applied Mathematics

Acceder al documento

10.1007/978-1-4939-3094-4_18

Otros archivos y enlaces

Citar esto

@article{62da04e45c3942928ffa7309edbbabcc,

title = "Continuous multiobjective programming",

abstract = "We present our view of the state of the art in continuous multiobjective programming. After an introduction we formulate the multiobjective program (MOP) and define the most important solution concepts in Sect. 18.2. In Sect. 18.3 we summarize properties of efficient and nondominated sets. Optimality conditions are reviewed in Sect. 18.4. The main part of the chapter consists of Sects. 18.5 and 18.6 that deal with solution techniques for MOPs and approximation of efficient and nondominated sets. In Sect. 18.7 we discuss specially-structured problems including linear, nonlinear, parametric, and bilevel MOPs. In Sect. 18.8 we present our perspective on future research directions.",

author = "Wiecek, {Margaret M.} and Matthias Ehrgott and Alexander Engau",

note = "Publisher Copyright: {\textcopyright} Springer Science+Business Media New York 2016.",

year = "2016",

doi = "10.1007/978-1-4939-3094-4_18",

language = "English",

volume = "233",

pages = "739--815",

journal = "International Series in Operations Research and Management Science",

issn = "0884-8289",

publisher = "Springer Science + Business Media",

}

TY - JOUR

T1 - Continuous multiobjective programming

AU - Wiecek, Margaret M.

AU - Ehrgott, Matthias

AU - Engau, Alexander

PY - 2016

Y1 - 2016

N2 - We present our view of the state of the art in continuous multiobjective programming. After an introduction we formulate the multiobjective program (MOP) and define the most important solution concepts in Sect. 18.2. In Sect. 18.3 we summarize properties of efficient and nondominated sets. Optimality conditions are reviewed in Sect. 18.4. The main part of the chapter consists of Sects. 18.5 and 18.6 that deal with solution techniques for MOPs and approximation of efficient and nondominated sets. In Sect. 18.7 we discuss specially-structured problems including linear, nonlinear, parametric, and bilevel MOPs. In Sect. 18.8 we present our perspective on future research directions.

AB - We present our view of the state of the art in continuous multiobjective programming. After an introduction we formulate the multiobjective program (MOP) and define the most important solution concepts in Sect. 18.2. In Sect. 18.3 we summarize properties of efficient and nondominated sets. Optimality conditions are reviewed in Sect. 18.4. The main part of the chapter consists of Sects. 18.5 and 18.6 that deal with solution techniques for MOPs and approximation of efficient and nondominated sets. In Sect. 18.7 we discuss specially-structured problems including linear, nonlinear, parametric, and bilevel MOPs. In Sect. 18.8 we present our perspective on future research directions.

UR - http://www.scopus.com/inward/record.url?scp=84959338242&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84959338242&partnerID=8YFLogxK

U2 - 10.1007/978-1-4939-3094-4_18

DO - 10.1007/978-1-4939-3094-4_18

M3 - Article

AN - SCOPUS:84959338242

SN - 0884-8289

VL - 233

SP - 739

EP - 815

JO - International Series in Operations Research and Management Science

JF - International Series in Operations Research and Management Science

ER -

Continuous multiobjective programming

Resumen

Nota bibliográfica

ASJC Scopus Subject Areas

Acceder al documento

Otros archivos y enlaces

Huella

Citar esto