Approximation and online algorithms for multidimensional bin packing: A survey
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 …
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
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 …
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 …
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 …
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 …
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
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 …
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
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 …
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
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 …
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 …
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 …
been extensively studied starting from the early seventies. In the classical bin packing …