Cone characterizations of approximate solutions in real vector optimization

A. Engau; M. M. Wiecek

doi:10.1007/s10957-007-9235-8

Cone characterizations of approximate solutions in real vector optimization

A. Engau, M. M. Wiecek

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

24 Citations (Scopus)

Abstract

Approximate nondominated solutions of real vector optimization problems are characterized using the concept of translated cones. Relationships between these solutions and Pareto nondominated points are examined, and the problem of optimizing over the set of approximate solutions is addressed.

Original language	English
Pages (from-to)	499-513
Number of pages	15
Journal	Journal of Optimization Theory and Applications
Volume	134
Issue number	3
DOIs	https://doi.org/10.1007/s10957-007-9235-8
Publication status	Published - Sept 2007
Externally published	Yes

Bibliographical note

Funding Information:
This research was supported by the National Science Foundation, Grant DMS-0425768, and by the Automotive Research Center, a US Army TACOM Center of Excellence for Modeling and Simulation of Ground Vehicles at the University of Michigan

ASJC Scopus Subject Areas

Control and Optimization
Management Science and Operations Research
Applied Mathematics

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10.1007/s10957-007-9235-8

Cite this

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Cone characterizations of approximate solutions in real vector optimization

Abstract

Bibliographical note

ASJC Scopus Subject Areas

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