A survey on heuristics for the two-dimensional rectangular strip packing problem

JF Oliveira, A Neuenfeldt, E Silva… - Pesquisa …, 2016 - SciELO Brasil
Two-dimensional rectangular strip packing problems belong to the broader class of Cutting
and Packing (C&P) problems, in which small items are required to be cut from or packed on …

Logic based Benders' decomposition for orthogonal stock cutting problems

M Delorme, M Iori, S Martello - Computers & Operations Research, 2017 - Elsevier
We consider the problem of packing a set of rectangular items into a strip of fixed width,
without overlap**, using minimum height. Items must be packed with their edges parallel …

Data mining based framework to assess solution quality for the rectangular 2D strip-packing problem

AN Júnior, E Silva, AM Gomes, C Soares… - Expert Systems with …, 2019 - Elsevier
In this paper, we explore the use of reference values (predictors) for the optimal objective
function value of hard combinatorial optimization problems, instead of bounds, obtained by …

A framework to select heuristics for the rectangular two-dimensional strip packing problem

AN Júnior, J Siluk, M Francescatto, G Stieler… - Expert Systems with …, 2023 - Elsevier
Defining the algorithm capable of best fit the characteristics observed for a problem is a
complex task in the context of combinatorial optimization problems. As a decision-making …

A block-based heuristic search algorithm for the two-dimensional guillotine strip packing problem

H Zhang, S Yao, S Zhang, J Leng, L Wei… - Engineering Applications of …, 2024 - Elsevier
Introduction: This paper addresses the two-dimensional strip-packing (2DSP) problem of
placing a set of rectangular pieces onto a fixed-width rectangular sheet to minimize the total …

A Q-learning-based algorithm for the 2D-rectangular packing problem

X Zhao, Y Rao, R Meng, J Fang - Soft Computing, 2023 - Springer
This paper presents a Q-learning-based algorithm for sequence and orientation optimization
toward the 2D rectangular strip packing problem. The width-filled skyline is used to …

Two-dimensional residual-space-maximized packing

Y Wang, L Chen - Expert Systems with Applications, 2015 - Elsevier
Many approaches exist for solving two dimensional rectangle-packing problems. Some rely
on multiple heuristic policies to detect suitable packing positions. Others resort to searching …

Design of efficient packing system using genetic algorithm based on hyper heuristic approach

J Thomas, NS Chaudhari - Advances in Engineering Software, 2014 - Elsevier
In practice the maximum usage of container space arises in many applications which is one
of the crucial economical requirements that have a wide impact on good transportation. A …

A new metaheuristic genetic-based placement algorithm for 2D strip packing

J Thomas, NS Chaudhari - Journal of Industrial Engineering International, 2014 - Springer
Given a container of fixed width, infinite height and a set of rectangular block, the 2D-strip
packing problem consists of orthogonally placing all the rectangles such that the height is …

An iterative bidirectional heuristic placement algorithm for solving the two-dimensional knapsack packing problem

K Shiangjen, J Chaijaruwanich… - Engineering …, 2018 - Taylor & Francis
This article presents an efficient heuristic placement algorithm, namely, a bidirectional
heuristic placement, for solving the two-dimensional rectangular knapsack packing problem …