On k-subset sum using enumerative encoding

    研究成果: Conference contribution

    7 引用 (Scopus)

    抄録

    Being a significant construct in a wide range of combinatorial problems, the k-subset sum problem (k-SSP) computes k-element subsets, out of an n-element set, satisfying a user-defined aggregation value. In this paper, we formulate the k-subset sum problem as a search (optimization) problem over the space of integers associated with combination elements. And by using rigorous computational experiments using the search space over more than 1014 integer numbers, we show that our approach is effective and efficient: it is feasible to find any combination with a user-defined sum within 104 function evaluations by using a gradient-free optimization algorithm. Our scheme opens the door to further advance the understanding of combinatorial problems by improved/tailored gradient-free optimization algorithms based on enumerative encoding. Also, our approach realizes the practical building block for combinatorial problems in planning and operations research using k-SSP concepts.

    元の言語English
    ホスト出版物のタイトル2016 IEEE International Symposium on Signal Processing and Information Technology, ISSPIT 2016
    出版者Institute of Electrical and Electronics Engineers Inc.
    ページ81-86
    ページ数6
    ISBN(電子版)9781509058440
    DOI
    出版物ステータスPublished - 2017 3 23
    イベント2016 IEEE International Symposium on Signal Processing and Information Technology, ISSPIT 2016 - Limassol, Cyprus
    継続期間: 2016 12 122016 12 14

    Other

    Other2016 IEEE International Symposium on Signal Processing and Information Technology, ISSPIT 2016
    Cyprus
    Limassol
    期間16/12/1216/12/14

    Fingerprint

    Operations research
    Function evaluation
    Set theory
    Agglomeration
    Planning
    Experiments

    ASJC Scopus subject areas

    • Computer Networks and Communications
    • Computer Science Applications
    • Signal Processing

    これを引用

    Parque Tenorio, V., & Miyashita, T. (2017). On k-subset sum using enumerative encoding. : 2016 IEEE International Symposium on Signal Processing and Information Technology, ISSPIT 2016 (pp. 81-86). [7886013] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ISSPIT.2016.7886013

    On k-subset sum using enumerative encoding. / Parque Tenorio, Victor; Miyashita, Tomoyuki.

    2016 IEEE International Symposium on Signal Processing and Information Technology, ISSPIT 2016. Institute of Electrical and Electronics Engineers Inc., 2017. p. 81-86 7886013.

    研究成果: Conference contribution

    Parque Tenorio, V & Miyashita, T 2017, On k-subset sum using enumerative encoding. : 2016 IEEE International Symposium on Signal Processing and Information Technology, ISSPIT 2016., 7886013, Institute of Electrical and Electronics Engineers Inc., pp. 81-86, 2016 IEEE International Symposium on Signal Processing and Information Technology, ISSPIT 2016, Limassol, Cyprus, 16/12/12. https://doi.org/10.1109/ISSPIT.2016.7886013
    Parque Tenorio V, Miyashita T. On k-subset sum using enumerative encoding. : 2016 IEEE International Symposium on Signal Processing and Information Technology, ISSPIT 2016. Institute of Electrical and Electronics Engineers Inc. 2017. p. 81-86. 7886013 https://doi.org/10.1109/ISSPIT.2016.7886013
    Parque Tenorio, Victor ; Miyashita, Tomoyuki. / On k-subset sum using enumerative encoding. 2016 IEEE International Symposium on Signal Processing and Information Technology, ISSPIT 2016. Institute of Electrical and Electronics Engineers Inc., 2017. pp. 81-86
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