Necessary and Sufficient Conditions for a Pareto-Optimum in Convex Programming.
TEXAS UNIV AT AUSTIN CENTER FOR CYBERNETIC STUDIES
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Necessary and sufficient conditions for Pareto optimality are derived for problems involving convex criteria and convex constraints. For a wide class of convex functions, the characterization of Pareto optimality is given in terms of systems of linear programs, which, under suitable regularization conditions, reduce to a single linear program. The consideration of a system of linear programs and their duals leads naturally to a system of partial prices associated with a Pareto optimum. Author
- Economics and Cost Analysis
- Theoretical Mathematics
- Operations Research
- Manufacturing and Industrial Engineering and Control of Production Systems