Abstract
The possibility of obtaining a compromise solution to a constrained optimization problem is investigated. The problem is to make the solution to reflect a compromise between the conflicting requirements of extremalization of some objective function and constraint satisfaction. To solve the problem, multicriteria optimization with the use of a nonlinear compromise scheme is applied. An illustrative example is given.
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A. N. Voronin, Yu. K. Ziatdinov, and A. I. Kozlov, Vector Optimization of Dynamic Systems [in Russian], Tekhnika, Kyiv (1999).
A. N. Voronin, “A nonlinear compromise scheme in multicriteria evaluation and optimization problems,” Cybernetics and Systems Analysis, 45, No. 4, 597–604 (2009).
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Translated from Kibernetika i Sistemnyi Analiz, No. 1, January–February, 2013, pp. 91–95.
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Voronin, A.N. A compromise method in constrained optimization problems. Cybern Syst Anal 49, 77–80 (2013). https://doi.org/10.1007/s10559-013-9487-2
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DOI: https://doi.org/10.1007/s10559-013-9487-2