scholarly journals Improved approximation for two dimensional Strip Packing with polynomial bounded width

2019 ◽  
Vol 789 ◽  
pp. 34-49
Author(s):  
Klaus Jansen ◽  
Malin Rau
Keyword(s):  
Two Dimensional ◽  
Strip Packing ◽  
Bounded Width

scholarly journals A SAT-based Method for Solving the Two-dimensional Strip Packing Problem

2010 ◽  
Vol 102 (3-4) ◽  
pp. 467-487 ◽  
Author(s):  
Takehide Soh ◽  
Katsumi Inoue ◽  
Naoyuki Tamura ◽  
Mutsunori Banbara ◽  
Hidetomo Nabeshima
Keyword(s):  
Packing Problem ◽  
Two Dimensional ◽  
Strip Packing

A Reinforced Tabu Search Approach for 2D Strip Packing

2012 ◽  
pp. 171-188
Author(s):  
Giglia Gómez-Villouta ◽  
Jean-Philippe Hamiez ◽  
Jin-Kao Hao
Keyword(s):  
Tabu Search ◽  
Search Algorithm ◽  
Fitness Function ◽  
Packing Problem ◽  
Two Dimensional ◽  
Strip Packing ◽  
Benchmark Instances ◽  
Finite Set ◽  
Infinite Height ◽  
Search Approach

This paper discusses a particular “packing” problem, namely the two dimensional strip packing problem, where a finite set of objects have to be located in a strip of fixed width and infinite height. The variant studied considers regular items, rectangular to be precise, that must be packed without overlap, not allowing rotations. The objective is to minimize the height of the resulting packing. In this regard, the authors present a local search algorithm based on the well-known tabu search metaheuristic. Two important components of the presented tabu search strategy are reinforced in attempting to include problem knowledge. The fitness function incorporates a measure related to the empty spaces, while the diversification relies on a set of historically “frozen” objects. The resulting reinforced tabu search approach is evaluated on a set of well-known hard benchmark instances and compared with state-of-the-art algorithms.

Improved metaheuristics for the two-dimensional strip packing problem

2020 ◽  
Vol 92 ◽  
pp. 106268 ◽  
Author(s):  
Rosephine G. Rakotonirainy ◽  
Jan H. van Vuuren
Keyword(s):  
Packing Problem ◽  
Two Dimensional ◽  
Strip Packing

Exact algorithms for the two-dimensional strip packing problem with and without rotations

2009 ◽  
Vol 198 (1) ◽  
pp. 73-83 ◽  
Author(s):  
Mitsutoshi Kenmochi ◽  
Takashi Imamichi ◽  
Koji Nonobe ◽  
Mutsunori Yagiura ◽  
Hiroshi Nagamochi
Keyword(s):  
Packing Problem ◽  
Exact Algorithms ◽  
Two Dimensional ◽  
Strip Packing

Heuristics for two-dimensional strip packing problem with 90° rotations

2013 ◽  
Vol 40 (14) ◽  
pp. 5542-5550 ◽  
Author(s):  
Kun He ◽  
Yan Jin ◽  
Wenqi Huang
Keyword(s):  
Packing Problem ◽  
Two Dimensional ◽  
Strip Packing
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