Authors:
Gia Thuan Lam
1
;
Viet Anh Ho
2
and
Doina Logofatu
2
Affiliations:
1
Vietnamese-German University, Vietnam
;
2
Frankfurt University of Applied Sciences, Germany
Keyword(s):
2D Bin Packing, Order of Placement, Placement Algorithm, Optimization Techniques, First-Fit, Area Decreasing Order.
Related
Ontology
Subjects/Areas/Topics:
Application Domains
;
Artificial Intelligence
;
Case Studies
;
Construction Engineering and Project Management
;
Education and Training
;
Formal Methods
;
Health Engineering and Technology Applications
;
Industrial Processes
;
Informatics in Control, Automation and Robotics
;
Intelligent Control Systems and Optimization
;
Materials
;
Neural Rehabilitation
;
Neurotechnology, Electronics and Informatics
;
Optimization Issues
;
Planning and Scheduling
;
Simulation and Modeling
;
Simulation Tools and Platforms
;
Symbolic Systems
Abstract:
The problem of packing a given sequence of items of 2-dimensional (2D) geometric shapes into a minimum
number of rectangle bins of given dimensions is called the 2D bin packing problem. This problem has
various applications across many industries such as steel-, paper- and wood- industries where objects of
certain shapes are needed to be cut from large rectangle panels with the most efficient use of materials. This
problem, however, belongs to the class of NP-Hard problems, implying that no perfect solution exists. Many
proposed solutions involve the use of advanced metaheuristic search techniques such as Local Search,
Simulated Annealing or Genetic Algorithm, but most of them are still greedy-based, which means some
greedy technique such as First-Fit is still used as their core placement algorithm and optimization techniques
are employed only to search for a good ordering or orientation (rotation angles) of the objects so that the
placement procedure can yield the best poss
ible results. Practice has shown that greedy placement algorithm
on the simple area decreasing order can produce excellent results comparable to those on orderings
generated from advanced optimization techniques. This paper discusses the relevance of the order of
placement in the 2D bin packing problem.
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