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Two comprehensive performance metrics for overcoming the deficiencies of IGD and HV

Published: 08 July 2021 Publication History

Abstract

To overcome some deficiencies of inverted generational distance (IGD) and hypervolume (HV), two comprehensive metrics are proposed in this paper, the hypercube distance (HCD), a metric based on hypercubes, and the angle-based distance (AD) for calculating the cosine values of the angles between solutions, both proposed metrics don't need Pareto Front information and have low computational complexity.

References

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Hisao Ishibuchi, Hiroyuki Masuda, Yuki Tanigaki and Yusuke Nojima. 2015. Modified distance calculation in generational distance and inverted generational distance. In International conference on evolutionary multi-criterion optimization. Guimarães, Portugal, 110--125.
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Zhenan He and Gary G. Yen. 2015. Visualization and performance metric in many-objective optimization. IEEE Transactions on Evolutionary Computation 20, 3 (2015), 386--402.
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Kalyanmoy Deb, Amrit Pratap, Sameer Agarwal and T. Meyarivan. 2002. A fast and elitist multiobjective genetic algorithm: NSGA-II. IEEE transactions on evolutionary computation 6, 2 (2002), 182--197.
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Qingfu Zhang, & Hui Li. 2007. MOEA/D: A multiobjective evolutionary algorithm based on decomposition. IEEE Transactions on Evolutionary Computation 11, 6 (2007), 712--731.
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Ran Cheng, Yaochu Jin, Markus Olhofer, Bernhard Sendhoff. (2016). A reference vector guided evolutionary algorithm for many-objective optimization. IEEE Transactions on Evolutionary Computation 20, 5 (2016), 773--791.
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Cited By

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  • (2023)Multi-objective cooperative computation offloading for MEC in UAVs hybrid networks via integrated optimization frameworkComputer Communications10.1016/j.comcom.2023.01.006202:C(124-134)Online publication date: 15-Mar-2023

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  1. Two comprehensive performance metrics for overcoming the deficiencies of IGD and HV

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    cover image ACM Conferences
    GECCO '21: Proceedings of the Genetic and Evolutionary Computation Conference Companion
    July 2021
    2047 pages
    ISBN:9781450383516
    DOI:10.1145/3449726
    Permission to make digital or hard copies of part or all of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for third-party components of this work must be honored. For all other uses, contact the Owner/Author.

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    Published: 08 July 2021

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    Author Tags

    1. multi-objective optimization
    2. performance measures

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    Overall Acceptance Rate 1,669 of 4,410 submissions, 38%

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    • (2023)Multi-objective cooperative computation offloading for MEC in UAVs hybrid networks via integrated optimization frameworkComputer Communications10.1016/j.comcom.2023.01.006202:C(124-134)Online publication date: 15-Mar-2023

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