Using lexicographic parametric programming for searching a non-dominated set in multiple-objective linear programming

Using lexicographic parametric programming for searching a non-dominated set in multiple-objective linear programming

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Article ID: iaor19972538
Country: United Kingdom
Volume: 5
Issue: 4
Start Page Number: 291
End Page Number: 300
Publication Date: Dec 1996
Journal: Journal of Multi-Criteria Decision Analysis
Authors:
Abstract:

This paper proposes an approach which makes it possible to search non-dominated and only non-dominated solutions in multiple-objective linear programming. The approach is based on the use of a reference direction and lexicographic parametric programming. The requisite theory is developed in the paper. The use of the approach is illustrated with a numerical example.

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