Multi-objective Distinct Candidates Optimization: Locating a few highly different solutions in a circuit component sizing problem

  • Authors:
  • Rasmus K. Ursem;Peter Dueholm Justesen

  • Affiliations:
  • -;-

  • Venue:
  • Applied Soft Computing
  • Year:
  • 2012

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Abstract

Abstract: Traditional multi-objective optimization algorithms typically return several hundred non-dominated solutions. From a practical point of view, a small set of 5-10 distinct candidates is often preferred because post-processing many solutions may be too costly, too time-consuming, or it may be too difficult to compare design differences. In this paper, we introduce Multi-objective Distinct Candidates Optimization (MODCO) as an approach to find a user-defined low number of clearly different solutions wrt. performance and design. To demonstrate the potential of the MODCO approach, we suggest the General Cluster-Forming Differential Evolution (GCFDE) algorithm and test it on five well-known mechanical engineering problems and a new five-objective constrained problem from electrical engineering - the circuit component sizing problem of the Alpha Pro pump. The experiments showed that GCFDE significantly outperformed all competing MOEAs on the many-objective circuit problem and had slightly better performance on the mechanical problems. Furthermore, our algorithm was able to return result sets in accordance with the user's settings for result set cardinality as well as performance and design distinctiveness.