NDLI: Designing Algorithms with Multi-sphere Scheme

Content Provider	IEEE Xplore Digital Library
Author	Imamichi, T. Nagamochi, H.
Copyright Year	2008
Description	Author affiliation: Kyoto Univ., Kyoto (Imamichi, T.; Nagamochi, H.)
Abstract	In this paper, we deal with a packing problem that asks to place a given set of objects such as non-convex poly- topes or objects with curved surfaces in a container in $R^{2}$ or $R^{3}$ so that the resulting layout of the objects has no penetration of the objects and no protrusion of the objects from the container. Imamichi and Nagamochi proposed a new algorithm scheme, called multi-sphere scheme, which first approximates each object by a set of spheres and finds a layout with no overlap as a local optimal solution of an unconstraint nonlinear program for the sets of shperes. We focus on the case that all objects are rigid, and describe how to design algorithms with the scheme when motions of objects are specified. We handle three variations of motions of objects: "translation," "translation with a fixed direction," and "translation and rotation by an arbitrary angle." We then develop an iterated local search algorithm combining a local search algorithm based on a nonlinear program and perturbation that swaps two objects for the case where "translation and rotation by an arbitrary angle" is allowed. Computational experiments disclose our algorithm can find a layout with nearly no penetration and protrusion quickly.
Starting Page	125
Ending Page	130
File Size	293940
Page Count	6
File Format	PDF
ISBN	9780769531281
DOI	10.1109/ICKS.2008.22
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2008-01-17
Publisher Place	Japan
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Algorithm design and analysis Proteins Object detection Containers Data structures Mathematics Robustness Physics education Informatics Surface treatment
Content Type	Text
Resource Type	Article

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