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Necessary and sufficient conditions for local and global nondominated solutions in decision problems with multi-objectives (1979)

Tamura, K. ; Miura, S.

Springer

Journal of optimization theory and applications 28 (1979), S. 501-523

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ISSN: 1573-2878

Keywords: Decision problems with multi-objectives ; nondominated solutions ; domination cones ; polar cones ; edge vectors

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract In this paper, the decision problem with multi-objectives is considered, and the nondominated solutions associated with a polyhedral domination cone are discussed. The necessary and sufficient conditions for the solutions are given in the decision space rather than the objective space. The similarity of the solution conditions obtained in this article to the Kuhn-Tucker condition of a convex programming problem is examined. As an application of the solution condition, an algorithm to locate the set of all nondominated solutions is shown for the linear multi-objective decision problem.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF00932220

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