1976
DOI: 10.1016/0010-4485(76)90006-3
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Nesting two-dimensional shapes in rectangular modules

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Cited by 170 publications
(59 citation statements)
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“…In practical solutions of this type, it will only prove satisfactory if the objects themselves are close to rectangular so that the wasted area is small. The authors of [3] proposed another approach through nesting more than one object together when objects are different from rectangular shape. Another alternative method using rectangle packing is to nest all the objects into identical polygons which can be used to cover the container area.…”
Section: Related Workmentioning
confidence: 99%
“…In practical solutions of this type, it will only prove satisfactory if the objects themselves are close to rectangular so that the wasted area is small. The authors of [3] proposed another approach through nesting more than one object together when objects are different from rectangular shape. Another alternative method using rectangle packing is to nest all the objects into identical polygons which can be used to cover the container area.…”
Section: Related Workmentioning
confidence: 99%
“…The work of Adamowicz and Albano (1976), who investigated the layout of steel sheets in ship building, bears some resemblance to the problems examined in this paper however the use of material off cuts is not specifically investigated. In contrast, Sibley-Punnet and Bossomaier (2001) investigate the reuse off cuts from corrugated iron roofs using the high cost of delivering the roofing material to justify the computational effort required.…”
Section: Background and Related Workmentioning
confidence: 99%
“…Several approaches to ensure that, in the resulting layout, items do not overlap and fully fit inside the container have been proposed in the literature. Adamowicz and Albano [2] chose to nest items into simpler shapes in which the interference can be more easily calculated. Babu and Babu [3] approximated the container and the items by grid squares * Corresponding author.…”
Section: Introductionmentioning
confidence: 99%