Adaptive weighted-sum method for bi-objective optimization: Pareto front generation

By Il Yong Kim, O. D. Weck. 2005

742 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Control and Systems Engineering, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/980b95a55a4b210e0edcf0b738ddee1b49fcb2d6

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

In Control and Systems Engineering

In Statistics and Probability

Citations in the corpus

A review of multi-objective optimization: Methods and its applications (2018, neutral): “In the weighted-sum method (Cohon, 1983; Das & Dennis, 1997; Kim & de Weck, 2005; Messac, Sukam, & Melachrinoudis, 2000a; Messac, Sundararaj, Tappeta, & Renaud, 2000b; Odu & Charles-Owaba, 2013; Triantaphyllou, Shu, Sanchez, & Ray, 1998), all problems are combined into one problem using a weighted…”
Localized Weighted Sum Method for Many-Objective Optimization (2018, methodology): “For example, Jin et al. [67], [68] proposed that by using an archive and periodically altered weights, the WS method-based search is able to obtain solutions on nonconvex PF. Kim and de Weck [69], [70] proposed to first use the WS method to quickly obtain an approximation of the PF, then construct a”
Comparison of different multi-objective calibration criteria using a conceptual rainfall-runoff model of flood events. (2007, methodology): “More recently, new methods developed to generate the Pareto optimal solutions in non-convex regions (i.e. Kim and Weck, 2005) give promising results in the case of two-objective functions, but further theoretical work is still needed to overcome the limitations for multi-objective functions.”
Newton's Method for Multiobjective Optimization (2009, background): “Applications for this type of problem can be found in engineering [14, 28] (especially truss optimization [8, 29, 40], design [27, 20, 38], space exploration [34, 41]), statistics [5], management science [15, 2, 22, 35, 42, 1], environmental analysis [31, 16, 17], cancer treatment planning [25], etc”
Adaptive weighted sum method for multiobjective optimization: a new method for Pareto front generation (2006, methodology): “The figure illustrates the two typical drawbacks of the weighted sum method, which were already discussed in a number of studies by Messac and Mattson (2002), Das and Dennis (1997), and Koski (1985): 1.”