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Formulation of a multi-objective problem

MULTI-OBJECTIVE PROBLEMS. Formulation of a multi-objective problem. Pareto optimum set consists of the designs which cannot be improved with respect to all criteria at the same time. A general multi-objective optimization problem. MULTI-OBJECTIVE PROBLEMS. A multi-objective problem.

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Formulation of a multi-objective problem

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  1. MULTI-OBJECTIVE PROBLEMS Formulation of a multi-objective problem Pareto optimum set consists of the designs which cannot be improved with respect to all criteria at the same time A general multi-objective optimization problem

  2. MULTI-OBJECTIVE PROBLEMS A multi-objective problem Pareto optimum solutions correspond to the AB part of the contour

  3. MULTI-OBJECTIVE PROBLEMS Formulation of a multi-objective problem Basic approaches to the formulation of a combined criterion 1. Select the most important criterion and treat it as a single criterion. Impose constraints on the values of all remaining criteria. 2. Linear combination of all criteria. It is important to normalise the criteria using the best values of corresponding individual criteria. 3. The minimax criterion where Fk* is the desirable value of the criterion Fk .

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