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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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...
Boll, W.David, Donovan, Jerry, Graham, Ronald L., Lubachevsky, Boris D. (2000)
The Electronic Journal of Combinatorics [electronic only]
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Gensane, Th. (2004)
The Electronic Journal of Combinatorics [electronic only]
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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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Mukhacheva, È.A., Mukhacheva, A.S. (2004)
Journal of Mathematical Sciences (New York)
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Bekrar, Abdelghani, Kacem, Imed (2009)
Advances in Operations Research
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Kuperberg, Greg, Kuperberg, Krystyna, Kuperberg, Włodzimierz (2004)
Beiträge zur Algebra und Geometrie
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Djordje Dugošija (2000)
The Yugoslav Journal of Operations Research
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Fodor, Ferenc (2000)
Beiträge zur Algebra und Geometrie
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Eduardo C. Xavier, Flàvio Keidi Miyazawa (2009)
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
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In this paper we present a dual approximation scheme for the class constrained shelf bin packing problem. In this problem, we are given bins of capacity , and items of different classes, each item with class and size . The problem is to pack the items into bins, such that two items of different classes packed in a same bin must be in different shelves. Items in a same shelf are packed consecutively. Moreover, items in consecutive shelves must be separated by shelf divisors...