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Stochastic approach versus multiobjective approach for obtaining efficient solutions in stochastic multiobjective programming problems

Authors: Rafael Caballero; Emilio Cerdá; Mª del Mar Muñoz; Lourdes Rey;

Stochastic approach versus multiobjective approach for obtaining efficient solutions in stochastic multiobjective programming problems

Abstract

In this work, we deal with obtaining efficient solutions for stochastic multiobjective programming problems. In general, these solutions are obtained in two stages: in one of them, the stochastic problem is transformed into its equivalent deterministic problem, and in the other one, some of the existing generating techniques in multiobjective programming are applied to obtain efficient solutions, which involves transforming the multiobjective problem into a problem with only one objective function. Our aim is to determine whether the order in which these two transformations are carried out influences, in any way, the efficient solution obtained. Our results show that depending on the type of stochastic criterion followed and the statistical characteristics of the initial problem, the order can have an influence on the final set of efficient solutions obtained for a given problem.

Keywords

Stochastic approach, Multiobjective Approach, Management decision making, including multiple objectives, Stochastic Approach, Stochastic programming, Stochastic multiobjective programming, Stochastic Multiobjective Programming, Efficiency, 5302 Econometría, Econometría (Economía), Multiobjective approach, Econometría, Multi-objective and goal programming, Stochastic Multiobjective Programming, Efficiency, Stochastic Approach, Multiobjective Approach.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
50
Top 10%
Top 10%
Average
Green
bronze