Approximation and online algorithms for multidimensional bin packing: A survey

HI Christensen, A Khan, S Pokutta, P Tetali - Computer Science Review, 2017 - Elsevier
The bin packing problem is a well-studied problem in combinatorial optimization. In the
classical bin packing problem, we are given a list of real numbers in (0, 1] and the goal is to …

Improved approximation algorithm for two-dimensional bin packing

N Bansal, A Khan - Proceedings of the twenty-fifth annual ACM-SIAM …, 2014 - SIAM
We study the two-dimensional bin packing problem with and without rotations. Here we are
given a set of two-dimensional rectangular items I and the goal is to pack these into a …

Almost optimal inapproximability of multidimensional packing problems

S Sandeep - 2021 IEEE 62nd Annual Symposium on …, 2022 - ieeexplore.ieee.org
Multidimensional packing problems generalize the classical packing problems such as Bin
Packing, Multiprocessor Scheduling by allowing the jobs to be d-dimensional vectors. While …

[LIBRO][B] Solving non-standard packing problems by global optimization and heuristics

G Fasano - 2014 - Springer
This book originates from a long-lasting research effort aimed at tackling difficult non-
standard packing issues arising in space engineering and logistics. In this framework the …

Improved absolute approximation ratios for two-dimensional packing problems

R Harren, R van Stee - International Workshop on Approximation …, 2009 - Springer
We consider the two-dimensional bin packing and strip packing problem, where a list of
rectangles has to be packed into a minimal number of rectangular bins or a strip of minimal …

[PDF][PDF] Multidimensional bin packing and other related problems: A survey

HI Christensen, A Khan, S Pokutta, P Tetali - 2016 - tetali.math.gatech.edu
The bin packing problem is a well-studied problem in combinatorial optimization. In the
classical bin packing problem, we are given a list of real numbers in (0, 1] and the goal is to …

New approximability results for two-dimensional bin packing

K Jansen, L Prädel - Algorithmica, 2016 - Springer
We study the two-dimensional bin packing problem: Given a list of nn rectangles the
objective is to find a feasible, ie axis-parallel and non-overlap**, packing of all rectangles …

Polynomial-time approximation schemes for circle and other packing problems

FK Miyazawa, LLC Pedrosa, RCS Schouery… - Algorithmica, 2016 - Springer
We consider the problem of packing a set of circles into a minimum number of unit square
bins. To obtain rational solutions, we use augmented bins of height 1+ γ 1+ γ, for some …

Approximation algorithms for 3D orthogonal knapsack

F Diedrich, R Harren, K Jansen, R Thöle… - Journal of Computer …, 2008 - Springer
We study non-overlap** axis-parallel packings of 3D boxes with profits into a dedicated
bigger box where rotation is either forbidden or permitted, and we wish to maximize the total …

[PDF][PDF] Approximation algorithms for multidimensional bin packing

A Khan - 2015 - Citeseer
The bin packing problem has been the corner stone of approximation algorithms and has
been extensively studied starting from the early seventies. In the classical bin packing …