Characterization of solutions of multiobjective optimization problem

Enrico Miglierina

doi:10.1007/BF02843924

Characterization of solutions of multiobjective optimization problem

Enrico Miglierina

Research output: Contribution to journal › Article › peer-review

14 Citations (Scopus)

Abstract

A characterization of weakly efficient, efficient and properly efficient solutions of multiobjective optimization problems is given in terms of a scalar optimization problem by using a special "distance" function. The concept of the well-posedness for this special scalar problem is then linked with the properly efficient solutions of the multiobjective problem.

Original language	English
Pages (from-to)	153-164
Number of pages	12
Journal	Rendiconti del Circolo Matematico di Palermo
Volume	51
DOIs	https://doi.org/10.1007/BF02843924
Publication status	Published - 2001

Keywords

multiobjective optimization
scalarization
well-posedness

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10.1007/BF02843924

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title = "Characterization of solutions of multiobjective optimization problem",

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author = "Enrico Miglierina",

year = "2001",

doi = "10.1007/BF02843924",

language = "English",

volume = "51",

pages = "153--164",

journal = "Rendiconti del Circolo Matematico di Palermo",

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T1 - Characterization of solutions of multiobjective optimization problem

AU - Miglierina, Enrico

PY - 2001

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N2 - A characterization of weakly efficient, efficient and properly efficient solutions of multiobjective optimization problems is given in terms of a scalar optimization problem by using a special "distance" function. The concept of the well-posedness for this special scalar problem is then linked with the properly efficient solutions of the multiobjective problem.

AB - A characterization of weakly efficient, efficient and properly efficient solutions of multiobjective optimization problems is given in terms of a scalar optimization problem by using a special "distance" function. The concept of the well-posedness for this special scalar problem is then linked with the properly efficient solutions of the multiobjective problem.

KW - multiobjective optimization

KW - scalarization

KW - well-posedness

KW - multiobjective optimization

KW - scalarization

KW - well-posedness

UR - http://hdl.handle.net/10807/1715

UR - http://www.springerlink.com/content/3123p33021622056/?mud=mp

U2 - 10.1007/BF02843924

DO - 10.1007/BF02843924

M3 - Article

SN - 0009-725X

VL - 51

SP - 153

EP - 164

JO - Rendiconti del Circolo Matematico di Palermo

JF - Rendiconti del Circolo Matematico di Palermo

ER -

Characterization of solutions of multiobjective optimization problem

Abstract

Keywords

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