1999 MultiobjectiveEvolutionaryAlgorithms

• (Zitzler & Thiele) ⇒ Eckart Zitzler, Lothar Thiele. (1999). “Multiobjective Evolutionary Algorithms: A Comparative Case Study and the Strength Pareto Approach.” In: IEEE Transactions on Evolutionary Computation, 3(4). doi:10.1109/4235.797969.

Subject Headings: Multiobjective Evolutionary Algorithm, Evolutionary Algorithm.

Cited By

~2249 http://scholar.google.com/scholar?cites=2605310662110898198

Quotes

Abstract

• Evolutionary algorithms (EAs) are often well-suited for optimization problems involving several, often conflicting objectives. Since 1985, various evolutionary approaches to multiobjective optimization have been developed that are capable of searching for multiple solutions concurrently in a single run. However, the few comparative studies of different methods presented up to now remain mostly qualitative and are often restricted to a few approaches. In this paper, four multiobjective EAs are compared quantitatively where an extended 0/1 knapsack problem is taken as a basis. Furthermore, we introduce a new evolutionary approach to multicriteria optimization, the strength Pareto EA (SPEA), that combines several features of previous multiobjective EAs in a unique manner. It is characterized by (a) storing nondominated solutions externally in a second, continuously updated population, (b) evaluating an individual's fitness dependent on the number of external nondominated points that dominate it, (c) preserving population diversity using the Pareto dominance relationship, and (d) incorporating a clustering procedure in order to reduce the nondominated set without destroying its characteristics. The proof-of-principle results obtained on two artificial problems as well as a larger problem, the synthesis of a digital hardware-software multiprocessor system, suggest that SPEA can be very effective in sampling from along the entire Pareto-optimal front and distributing the generated solutions over the tradeoff surface. Moreover, SPEA clearly outperforms the other four multiobjective EAs on the 0/1 knapsack problem

References

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	Author	volume	Date Value	title	type	journal	titleUrl	doi	note	year
1999 MultiobjectiveEvolutionaryAlgorithms	Eckart Zitzler Lothar Thiele			Multiobjective Evolutionary Algorithms: A Comparative Case Study and the Strength Pareto Approach		IEEE Transactions on Evolutionary Computation	http://www.das.ufsc.br/~gb/pg-ic/multiGA/Multiobjective evolutionary algorithms - Strength Pareto.pdf	10.1109/4235.797969		1999