Irregular packing problems: A review of mathematical models

AAS Leao, FMB Toledo, JF Oliveira… - European Journal of …, 2020 - Elsevier
Irregular packing problems (also known as nesting problems) belong to the more general
class of cutting and packing problems and consist of allocating a set of irregular and regular …

Two-dimensional irregular packing problems: A review

B Guo, Y Zhang, J Hu, J Li, F Wu, Q Peng… - Frontiers in Mechanical …, 2022 - frontiersin.org
Two-dimensional (2D) irregular packing problems are widespread in manufacturing
industries such as shipbuilding, metalworking, automotive production, aerospace, clothing …

Iterated dynamic thresholding search for packing equal circles into a circular container

X Lai, JK Hao, D Yue, Z Lü, ZH Fu - European Journal of Operational …, 2022 - Elsevier
Packing equal circles in a circle is a classic global optimization problem that has a rich
research history and a number of relevant applications. The problem is computationally …

Operational Research: methods and applications

F Petropoulos, G Laporte, E Aktas… - Journal of the …, 2024 - Taylor & Francis
Abstract Throughout its history, Operational Research has evolved to include methods,
models and algorithms that have been applied to a wide range of contexts. This …

Robust mixed-integer linear programming models for the irregular strip packing problem

LH Cherri, LR Mundim, M Andretta, FMB Toledo… - European Journal of …, 2016 - Elsevier
Two-dimensional irregular strip packing problems are cutting and packing problems where
small pieces have to be cut from a larger object, involving a non-trivial handling of geometry …

Voxel-based solution approaches to the three-dimensional irregular packing problem

C Lamas-Fernandez, JA Bennell… - Operations …, 2023 - pubsonline.informs.org
Research on the three-dimensional (3D) packing problem has largely focused on packing
boxes for the transportation of goods. As a result, there has been little focus on packing …

[HTML][HTML] Mixed-integer programming models for irregular strip packing based on vertical slices and feasibility cuts

JJ Lastra-Díaz, MT Ortuño - European Journal of Operational Research, 2024 - Elsevier
The irregular strip-packing problem, also known as nesting or marker making, is defined as
the automatic computation of a non-overlapping placement of a set of non-convex polygons …

Load factor optimization for the auto carrier loading problem

C Jäck, J Gönsch… - Transportation …, 2023 - pubsonline.informs.org
The distribution of passenger vehicles is a complex task and a high cost factor for
automotive original equipment manufacturers (OEMs). On the way from the production plant …

A biased random key genetic algorithm for open dimension nesting problems using no-fit raster

LR Mundim, M Andretta, TA de Queiroz - Expert Systems with Applications, 2017 - Elsevier
We consider two NP-hard open dimension nesting problems for which a set of items has to
be packed without overlapping into a two-dimensional bin in order to minimize one or both …

A branch‐and‐cut algorithm for the irregular strip packing problem with uncertain demands

LR Souza Queiroz, M Andretta - International Transactions in …, 2022 - Wiley Online Library
This work presents a tailored branch‐and‐cut algorithm for the two‐dimensional irregular
strip packing problem with uncertain demand for the items to be cut. A two‐stage stochastic …