Optimal algorithm for rectangle placement

Patrick Healy; Marcus Creavin; Ago Kuusik

doi:10.1016/S0167-6377(98)00048-0

Optimal algorithm for rectangle placement

Patrick Healy, Marcus Creavin, Ago Kuusik

Department of Computer Science & Information Systems

University of Limerick

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper we consider the problem of placing efficiently a rectangle in a two-dimensional layout that may not have the bottom-left placement property. This problem arises when we apply any one of a number of iterative improvement algorithms to the cutting stock problem or its variants. Chazelle has given an O(n)-time placement algorithm when the layout has the bottom-left property; this result is extended to a more general situation.

Original language	English
Pages (from-to)	73-80
Number of pages	8
Journal	Operations Research Letters
Volume	24
Issue number	1
DOIs	https://doi.org/10.1016/S0167-6377(98)00048-0
Publication status	Published - Feb 1999

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title = "Optimal algorithm for rectangle placement",

abstract = "In this paper we consider the problem of placing efficiently a rectangle in a two-dimensional layout that may not have the bottom-left placement property. This problem arises when we apply any one of a number of iterative improvement algorithms to the cutting stock problem or its variants. Chazelle has given an O(n)-time placement algorithm when the layout has the bottom-left property; this result is extended to a more general situation.",

author = "Patrick Healy and Marcus Creavin and Ago Kuusik",

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AB - In this paper we consider the problem of placing efficiently a rectangle in a two-dimensional layout that may not have the bottom-left placement property. This problem arises when we apply any one of a number of iterative improvement algorithms to the cutting stock problem or its variants. Chazelle has given an O(n)-time placement algorithm when the layout has the bottom-left property; this result is extended to a more general situation.

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Optimal algorithm for rectangle placement

Abstract

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