Mapping constrained slot-placement problems to ising models and its evaluations by an ising machine

Sho Kanamaru, Kazushi Kawamura, Shu Tanaka, Yoshinori Tomita, Hidetoshi Matsuoka, Kaoru Kawamura, Nozomu Togawai

研究成果: Conference contribution

1 被引用数 (Scopus)

抄録

Ising machines have attracted attention, which is expected to obtain better solutions of various combinatorial optimization problems at high speed by mapping the problems to natural phenomena. A slot-placement problem is one of the combinatorial optimization problems, regarded as a quadratic assignment problem, which relates to the optimal logic-block placement in a digital circuit as well as optimal delivery planning. Here, we propose a mapping to the Ising model for solving a slot-placement problem with additional constraints, called a constrained slot-placement problem, where several item pairs must be placed within a given distance. Since the behavior of Ising machines is stochastic, the obtained solution does not always satisfy the slot-placement constraint, which is different from the conventional methods such as the conventional simulated annealing. To resolve the problem, we propose an interpretation method in which a feasible solution is generated by post-processing procedures. Using an Ising machine computer, feasible solutions could be obtained up to 50 times faster than the conventional simulated annealing without degrading accuracy for constrained slot-placement problems with 6 x 6 slots and 27 items at the maximum.

本文言語English
ホスト出版物のタイトルProceedings - 2019 IEEE 9th International Conference on Consumer Electronics, ICCE-Berlin 2019
編集者Gordan Velikic, Christian Gross
出版社IEEE Computer Society
ページ221-226
ページ数6
ISBN(電子版)9781728127453
DOI
出版ステータスPublished - 2019 9
外部発表はい
イベント9th IEEE International Conference on Consumer Electronics, ICCE-Berlin 2019 - Berlin, Germany
継続期間: 2019 9 82019 9 11

出版物シリーズ

名前IEEE International Conference on Consumer Electronics - Berlin, ICCE-Berlin
2019-September
ISSN(印刷版)2166-6814
ISSN(電子版)2166-6822

Conference

Conference9th IEEE International Conference on Consumer Electronics, ICCE-Berlin 2019
国/地域Germany
CityBerlin
Period19/9/819/9/11

ASJC Scopus subject areas

  • 電子工学および電気工学
  • 産業および生産工学
  • メディア記述

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