Metrics for Quality Assessment of a Multiobjective Design Optimization Solution Set

By Jin Wu, S. Azarm. 2001

301 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Computational Theory and Mathematics, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/1f457b5ce3c426b4f9c99c6416d371eaf284d643

How researchers see this paper

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

In Civil and Structural Engineering

In Computational Theory and Mathematics

In Statistics and Probability

Citations in the corpus

A faster algorithm for calculating hypervolume (2006, methodology): “Possibly the best known algorithm for calculating hypervolume is the LebMeasure algorithm, due to Fleischer [14].”
The Measure of Pareto Optima (2003, background): “This diversity of solutions has been cited in a number of articles as an indicator of good performance of multi-objective optimization algorithms [2, 4, 8].”
Consistencies and Contradictions of Performance Metrics in Multiobjective Optimization (2014, background): “In addition to those presented, other notable diversity metrics have also been introduced in the MOO context [51], [58], [59].”
An Improved Dimension-Sweep Algorithm for the Hypervolume Indicator (2006, methodology): “The inclusion-exclusion algorithm [5] is a natural, bruteforce approach based on the inclusion-exclusion principle [6] which exploits the known structure of the polytope directly.”
Performance metrics in multi-objective optimization (2015, background): “8 Coverage [21] 9 Coverage of the front [22] 10 D metric [23] D 11 D quantifier [24] 12 D1R [25] 13 Distance-based indicator [26] D(p) 14 Diversity metric [15] DM 15 Dominance-based quality [27] DQp 16 Entropy metric [28] 17 Epsilon family [2] 18 Generational distance [12] GD 19 Hypervolume [13] HV ”
A Fast Way of Calculating Exact Hypervolumes (2012, methodology): “One metric used widely for comparing sets of 1089-778X/$26.00 c© 2011 IEEE solutions is their hypervolume [1]–[3].”
Performance indicators in multiobjective optimization (2018, background): “5 3 3 3 3 3 3 3 Number of distinct choices [26] 3.”