Solving the Two-Dimensional Packing Problem With m-M Calculus
Aleksandar Savić, Tijana Šukilović, Vladimir Filipović (2011)
The Yugoslav Journal of Operations Research
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Aleksandar Savić, Tijana Šukilović, Vladimir Filipović (2011)
The Yugoslav Journal of Operations Research
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Graham, R.L., Lubachevsky, B.D. (1995)
The Electronic Journal of Combinatorics [electronic only]
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Graham, R.L., Lubachevski, B.D. (1996)
The Electronic Journal of Combinatorics [electronic only]
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Gensane, Thierry (2009)
The Electronic Journal of Combinatorics [electronic only]
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Hifi, Mhand, M'hallah, Rym (2009)
Advances in Operations Research
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Boll, W.David, Donovan, Jerry, Graham, Ronald L., Lubachevsky, Boris D. (2000)
The Electronic Journal of Combinatorics [electronic only]
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Mukhacheva, È.A., Mukhacheva, A.S. (2004)
Journal of Mathematical Sciences (New York)
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Janusz Januszewski (2002)
Colloquium Mathematicae
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The aim of the paper is to find a rectangle with the least area into which each sequence of rectangles of sides not greater than 1 with total area 1 can be packed.
Bowen, Lewis, Holton, Charles, Radin, Charles, Sadun, Lorenzo (2005)
Mathematical Physics Electronic Journal [electronic only]
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Kemnitz, Arnfried, Soltan, Valeriu (1999)
Beiträge zur Algebra und Geometrie
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I. Sahul Hamid, S. Saravanakumar (2015)
Discussiones Mathematicae Graph Theory
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In a graph G = (V,E), a non-empty set S ⊆ V is said to be an open packing set if no two vertices of S have a common neighbour in G. An open packing set which is not a proper subset of any open packing set is called a maximal open packing set. The minimum and maximum cardinalities of a maximal open packing set are respectively called the lower open packing number and the open packing number and are denoted by ρoL and ρo. In this paper, we present some bounds on these parameters. ...
Kuperberg, Greg (2000)
Geometry & Topology
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Khaoula Hamdi-Dhaoui, Nacima Labadie, Alice Yalaoui (2012)
RAIRO - Operations Research
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The two-dimensional bin packing problem is a well-known problem for which several exact and approximation methods were proposed. In real life applications, such as in Hazardous Material transportation, transported items may be partially incompatible, and have to be separated by a safety distance. This complication has not yet been considered in the literature. This paper introduces this extension called the two-dimensional bin packing problem with partial conflicts (2BPPC) which is a...
Khaoula Hamdi-Dhaoui, Nacima Labadie, Alice Yalaoui (2012)
RAIRO - Operations Research
Similarity:
The two-dimensional bin packing problem is a well-known problem for which several exact and approximation methods were proposed. In real life applications, such as in Hazardous Material transportation, transported items may be partially incompatible, and have to be separated by a safety distance. This complication has not yet been considered in the literature. This paper introduces this extension called the two-dimensional bin packing problem with partial conflicts (2BPPC) which is a...