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

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Citations (Scopus)

Abstract

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.

Original languageEnglish
Title of host publicationProceedings - 2019 IEEE 9th International Conference on Consumer Electronics, ICCE-Berlin 2019
EditorsGordan Velikic, Christian Gross
PublisherIEEE Computer Society
Pages221-226
Number of pages6
ISBN (Electronic)9781728127453
DOIs
Publication statusPublished - 2019 Sep
Externally publishedYes
Event9th IEEE International Conference on Consumer Electronics, ICCE-Berlin 2019 - Berlin, Germany
Duration: 2019 Sep 82019 Sep 11

Publication series

NameIEEE International Conference on Consumer Electronics - Berlin, ICCE-Berlin
Volume2019-September
ISSN (Print)2166-6814
ISSN (Electronic)2166-6822

Conference

Conference9th IEEE International Conference on Consumer Electronics, ICCE-Berlin 2019
Country/TerritoryGermany
CityBerlin
Period19/9/819/9/11

Keywords

  • Ising machine
  • Ising model
  • Quadratic assignment problem
  • Quadratic unconstrained binary optimization
  • Slot-placement problem

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Industrial and Manufacturing Engineering
  • Media Technology

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