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Continuous multiobjective programming

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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/ISSNChapter

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

Wiecek, M. M., Ehrgott, M., & Engau, A. (2016). Continuous multiobjective programming. In S. Greco, M. Ehrgott, & J. R. Figueira (Eds.), Multiple criteria decision analysis : state of the art surveys (2nd ed., pp. 739-815). (International Series in Operations Research & Management Science; Vol. 233). Springer. https://doi.org/10.1007/978-1-4939-3094-4_18

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

Wiecek, Margaret M. ; Ehrgott, Matthias ; Engau, Alexander. / Continuous multiobjective programming. Multiple criteria decision analysis : state of the art surveys. editor / Salvatore Greco ; Matthias Ehrgott ; Jose Rui Figueira. 2nd. ed. New York : Springer, 2016. pp. 739-815 (International Series in Operations Research & Management Science).

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 -