Efficient Ising Model Mapping to Solving Slot Placement Problem

Sho Kanamaru, Daisuke Oku, Masashi Tawada, Shu Tanaka, Masato Hayashi, Masanao Yamaoka, Masao Yanagisawa, Nozomu Togawa

研究成果: Conference contribution

9 被引用数 (Scopus)

抄録

Ising model-based computation has attracted attention as it can 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 which plays an important role in the optimal logic-block placement as well as optimal delivery decisions but it is known as an NP-hard problem. Solving it efficiently is one of the largest challenges. In this paper, we propose an efficient Ising model mapping to solve the slot placement problem and an interpretation method for the obtained Ising solutions to satisfy the slot-placement constraints. First, we propose slot-placement constraint terms that minimize the energy function or Hamiltonian of the Ising model when satisfying the slot-placement constraints. Secondly, we propose an objective function term in the energy function that minimizes the total weighted wiring length between items to be placed to the slots. In Ising model-based computations, the final spin states cannot necessarily satisfy the slot-placement constraints, which gives one of the largest differences from the conventional computations. Hence we newly propose an interpretation method for the obtained Ising solutions to satisfy the slot-placement constraints. On a fully-connected annealing machine, we could obtain feasible solutions with almost the same accuracy as the simulated annealing for slot placement problem with two orders of magnitude faster.

本文言語English
ホスト出版物のタイトル2019 IEEE International Conference on Consumer Electronics, ICCE 2019
出版社Institute of Electrical and Electronics Engineers Inc.
ISBN(電子版)9781538679104
DOI
出版ステータスPublished - 2019 3 6
イベント2019 IEEE International Conference on Consumer Electronics, ICCE 2019 - Las Vegas, United States
継続期間: 2019 1 112019 1 13

出版物シリーズ

名前2019 IEEE International Conference on Consumer Electronics, ICCE 2019

Conference

Conference2019 IEEE International Conference on Consumer Electronics, ICCE 2019
国/地域United States
CityLas Vegas
Period19/1/1119/1/13

ASJC Scopus subject areas

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

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