DOA: a unary quality indicator for assessing the
performance of many-objective optimization algorithm (MOOA).
Technical papers:
- E. Dilettoso, S.A. Rizzo, and N. Salerno.(2017) A
Weakly Pareto Compliant Quality Indicator. Mathemathical
and Computational Applications
22 (1), 25. Open access: doi 10.3390/mca22010025,
PDF.
Abstract
In
multi‐ and many‐objective optimization problems, the optimization
target is to obtain a set of non‐dominated solutions close to the
Pareto‐optimal front, well‐distributed, maximally extended and fully
filled. Comparing solution sets is crucial in evaluating the
performance of different optimization algorithms. The use of
performance indicators is common in comparing those sets and,
subsequently, optimization algorithms. Therefore, an effective
performance indicator must encompass these features as a whole and,
above all, it must be Pareto dominance compliant. Unfortunately, some
of the known indicators often fail to properly reflect the quality of a
solution set or cost a lot to compute. This paper demonstrates that the
Degree of Approximation (DOA) quality indicator is a weakly Pareto
compliant unary indicator that gives a good estimation of the match
between the approximated front and the Pareto‐optimal front.
Keywords: multi‐objective
optimization; many‐objective
optimization; distance indicator;
algorithms performance; Pareto optimality; quality indicator
- E. Dilettoso, S.A. Rizzo, and N. Salerno.(2012) A
new indicator to assess the quality of a Pareto approximation set
applied to improve the optimization of a magnetic shield. Scientific Computing in
Electrical Engineering (SCEE 2012),
September 11-14, Zurich (CH). PDF.
Abstract
Evaluating
the
performances of an optimization algorithm is more complex in the case
of multi-objective optimization problems than singleobjective ones. In
the former case, the optimization aims to obtain a set of non-dominated
solutions close to the Pareto-optimal front, well-distributed,
maximally extended and full filled. This paper presents a new quality
indicator encompassing the aforementioned goals. The quality indicator
is then used to select a suitable algorithm for the multi-objective
optimizationof a magnetic shield in an induction heating
system.
Downloads:
Other open source software:
- PSALHE-EA:
an algorithm to solve multimodal optimization problems.
- PSRS:
an open source tool for reliability evaluation of distribution systems.
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