A Multiobjective Optimization Approach via Systematical Modification of the Desirability Function Shapes


ALTINÖZ Ö. T., OZANSOY A., Ciuprina G.

8th International Symposium on Advanced Topics in Electrical Engineering (ATEE), Bucharest, Romanya, 23 - 25 Mayıs 2013 identifier identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Doi Numarası: 10.1109/atee.2013.6563481
  • Basıldığı Şehir: Bucharest
  • Basıldığı Ülke: Romanya
  • Anahtar Kelimeler: multiobjective optimization, desirability function, benchmark functions
  • TED Üniversitesi Adresli: Evet

Özet

In this study, a method for solution of the multi-objective optimization problems via the desirability function aided particle swarm optimization has been proposed. The desirability function has been applied for normalization of each objective and then aggregation to a single objective. The geometric mean of the desirability values regarding each objective has been calculated as a part of the method. On the other hand, using a single-objective optimization algorithm yields a single solution rather than a complete solution set. Hence, the idea of changing the shapes of the desirability functions is implemented in order to achieve a complete solution set; in fact, this constitutes the main theme of this study. Therefore, the multi-objective problem has been degraded to a single-objective one, and it has been solved numerous times for each alternative desirability function shape. As a result, a set of biased solutions has been obtained in a very practical manner.