Efficient solution concepts and their relations in stochastic multiobjective programming

Citation
R. Caballero et al., Efficient solution concepts and their relations in stochastic multiobjective programming, J OPTIM TH, 110(1), 2001, pp. 53-74
Citations number
15
Categorie Soggetti
Engineering Mathematics
Journal title
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
ISSN journal
00223239 → ACNP
Volume
110
Issue
1
Year of publication
2001
Pages
53 - 74
Database
ISI
SICI code
0022-3239(200107)110:1<53:ESCATR>2.0.ZU;2-J
Abstract
In this work, different concepts of efficient solutions to problems of stoc hastic multiple-objective programming are analyzed. We center our interest on problems in which some of the objective functions depend on random param eters. The existence of different concepts of efficiency for one single sto chastic problem, such as expected-value efficiency, minimum-risk efficiency , etc., raises the question of their quality. Starting from this idea, we e stablish some relationships between the different concepts. Our study enabl es us to determine what type of efficient solutions are obtained by each of these concepts.