Conic Duality for Multi-Objective Robust Optimization Problem

نویسندگان

چکیده

Duality theory is important in finding solutions to optimization problems. For example, linear programming problems, the primal and dual problem pairs are closely related, i.e., if optimal solution of one known, then for other can be obtained easily. In order an solved through dual, first step formulate its analyze characteristics. this paper, we construct model uncertain multi-objective as well weak strong duality criteria via conic duality. The form using utility function method. addition, uncertainty handled robust with ellipsoidal polyhedral sets. counterpart formulation two sets belongs class; therefore, built results analysis show that meets duality, while identified based on strict feasibility, boundedness, solvability

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ژورنال

عنوان ژورنال: Mathematics

سال: 2022

ISSN: ['2227-7390']

DOI: https://doi.org/10.3390/math10213940