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Continuous multiobjective programming. / Wiecek, Margaret M.
; Ehrgott, Matthias; Engau, Alexander.
Multiple criteria decision analysis : state of the art surveys. ed. / Salvatore Greco; Matthias Ehrgott; Jose Rui Figueira. 2nd. ed. New York: Springer, 2016. p. 739-815 (International Series in Operations Research & Management Science; Vol. 233).
Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSN › Chapter
Harvard
Wiecek, MM
, Ehrgott, M & Engau, A 2016,
Continuous multiobjective programming. in S Greco, M Ehrgott & JR Figueira (eds),
Multiple criteria decision analysis : state of the art surveys. 2nd edn, International Series in Operations Research & Management Science, vol. 233, Springer, New York, pp. 739-815.
https://doi.org/10.1007/978-1-4939-3094-4_18
APA
Vancouver
Wiecek MM
, Ehrgott M, Engau A.
Continuous multiobjective programming. In Greco S, Ehrgott M, Figueira JR, editors, Multiple criteria decision analysis : state of the art surveys. 2nd ed. New York: Springer. 2016. p. 739-815. (International Series in Operations Research & Management Science). doi: 10.1007/978-1-4939-3094-4_18
Author
Bibtex
@inbook{6613768464874ee29dcdbc363e93f169,
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",
year = "2016",
month = may,
day = "15",
doi = "10.1007/978-1-4939-3094-4_18",
language = "English",
isbn = "9781493930937",
series = "International Series in Operations Research & Management Science",
publisher = "Springer",
pages = "739--815",
editor = "Salvatore Greco and Matthias Ehrgott and Figueira, {Jose Rui}",
booktitle = "Multiple criteria decision analysis",
edition = "2nd",
}
RIS
TY - CHAP
T1 - Continuous multiobjective programming
AU - Wiecek, Margaret M.
AU - Ehrgott, Matthias
AU - Engau, Alexander
PY - 2016/5/15
Y1 - 2016/5/15
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.
U2 - 10.1007/978-1-4939-3094-4_18
DO - 10.1007/978-1-4939-3094-4_18
M3 - Chapter
SN - 9781493930937
T3 - International Series in Operations Research & Management Science
SP - 739
EP - 815
BT - Multiple criteria decision analysis
A2 - Greco, Salvatore
A2 - Ehrgott, Matthias
A2 - Figueira, Jose Rui
PB - Springer
CY - New York
ER -