Pointwise efficiency in multiobjective stochastic linear programming

Pointwise efficiency in multiobjective stochastic linear programming

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Article ID: iaor19951504
Country: United Kingdom
Volume: 45
Issue: 11
Start Page Number: 1324
End Page Number: 1334
Publication Date: Nov 1994
Journal: Journal of the Operational Research Society
Authors: , ,
Keywords: programming: probabilistic
Abstract:

In most of the approaches to the Multiobjective Stochastic Linear Programming problem that have been proposed in the literature, the notion of quality of a solution is not adequately defined. This paper reconsiders this problem from a decision point of view, in contexts where either the decision maker’s preference structure cannot be described by a utility function, or where this structure is expressed by an unknown non-decreasing utility function and the probability distribution of the random parameters is unknown. The paper defines a fundamental set of ‘pointwise admissible’ solutions, as well as several subsets of particular interest. It discusses the relevance of these various pointwise efficient sets, their interrelations, and their practical identification.

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