On Efficient Solutions to Multiple Objective Mathematical Programs
Copyright policy )On Efficient Solutions to Multiple Objective Mathematical Programs
This note develops properties of quasi-efficient solutions and explores interrelationships to the classical concept of efficiency. In particular, a point is a quasi-efficient solution to a multiple objective mathematical program if and only if it is an optimal solution to a scalar maximum problem for some set of nonnegative weights on the objectives. This result is then used to characterize the set of quasi-efficient solutions as the union of efficient solutions to a multiple objective problem over all nonempty subsets of the objectives.
- University of Pittsburgh United States
- Purdue University West Lafayette United States
- Université Catholique de Louvain Belgium
scalarization, efficient solutions, mathematical programming, multiple objectives, convex multiobjective programming, Sensitivity, stability, parametric optimization, weak efficient) solutions, quasi-efficient solutions
scalarization, efficient solutions, mathematical programming, multiple objectives, convex multiobjective programming, Sensitivity, stability, parametric optimization, weak efficient) solutions, quasi-efficient solutions
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