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A correction was published on 2 April 2014, see Algorithms 2014, 7(2), 188.

Algorithms 2014, 7(1), 166-185; doi:10.3390/a7010166
Article

Pareto Optimization or Cascaded Weighted Sum: A Comparison of Concepts

1,*  and 2
Received: 22 January 2014; in revised form: 3 March 2014 / Accepted: 14 March 2014 / Published: 21 March 2014
Download PDF [507 KB, uploaded 21 March 2014]
Abstract: Looking at articles or conference papers published since the turn of the century, Pareto optimization is the dominating assessment method for multi-objective nonlinear optimization problems. However, is it always the method of choice for real-world applications, where either more than four objectives have to be considered, or the same type of task is repeated again and again with only minor modifications, in an automated optimization or planning process? This paper presents a classification of application scenarios and compares the Pareto approach with an extended version of the weighted sum, called cascaded weighted sum, for the different scenarios. Its range of application within the field of multi-objective optimization is discussed as well as its strengths and weaknesses.
Keywords: multi-criteria optimization; Pareto optimization; weighted sum; cascaded weighted sum; global optimization; population based optimization; evolutionary algorithm multi-criteria optimization; Pareto optimization; weighted sum; cascaded weighted sum; global optimization; population based optimization; evolutionary algorithm
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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MDPI and ACS Style

Jakob, W.; Blume, C. Pareto Optimization or Cascaded Weighted Sum: A Comparison of Concepts. Algorithms 2014, 7, 166-185.

AMA Style

Jakob W, Blume C. Pareto Optimization or Cascaded Weighted Sum: A Comparison of Concepts. Algorithms. 2014; 7(1):166-185.

Chicago/Turabian Style

Jakob, Wilfried; Blume, Christian. 2014. "Pareto Optimization or Cascaded Weighted Sum: A Comparison of Concepts." Algorithms 7, no. 1: 166-185.


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