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(Reference retrieved automatically from SciELO through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

A BIASED RANDOM-KEY GENETIC ALGORITHM FOR THE 2D STRIP PACKING PROBLEM WITH ORDER AND STABILITY CONSTRAINTS

Full text
Author(s):
Santosh Kumar Mandal [1] ; Thiago Alves de Queiroz [2] ; Flávio Keidi Miyazawa [3]
Total Authors: 3
Affiliation:
[1] University of Campinas. Institute of Computing - Brasil
[2] Federal University of Catalão. Institute of Mathematics and Technology - Brasil
[3] University of Campinas. Institute of Computing - Brasil
Total Affiliations: 3
Document type: Journal article
Source: Pesquisa Operacional; v. 44, 2024-10-28.
Abstract

ABSTRACT This paper deals with the two-dimensional strip packing problem (2D-SPP) with the order/or multi-drop and vertical stability constraints. The existing exact algorithm that solves this problem is not able to provide optimal solutions on large instances in a reasonable amount of time. Hence, with a view to quickly obtain a physically stable packing of minimum height while satisfying the order constraint, the Biased Random-Key Genetic Algorithm (BRKGA) is combined with Bottom-Left-Fill (BLF) and Open Space (OS) heuristics. Both versions of the algorithm (BRKGA+BLF and BRKGA+OS) retrieved optimal solutions on many benchmark instances, consuming lesser computational time than the exact algorithm. A comparative study was also performed between the BRKGA, Simulated Annealing (SA) and Particle Swarm Optimization (PSO) algorithms on newly generated large instances. Moreover, the effectiveness of the BRKGA has also been checked on the classical 2D-SPP and two-dimensional orthogonal packing problem (2D-OPP) datasets. (AU)

FAPESP's process: 22/06707-8 - Algorithms for packing problems
Grantee:Santosh Kumar Mandal
Support Opportunities: Scholarships in Brazil - Post-Doctoral
FAPESP's process: 15/11937-9 - Investigation of hard problems from the algorithmic and structural stand points
Grantee:Flávio Keidi Miyazawa
Support Opportunities: Research Projects - Thematic Grants
FAPESP's process: 22/05803-3 - Cutting, packing, lot-sizing, scheduling, routing and location problems and their integration in industrial and logistics settings
Grantee:Reinaldo Morabito Neto
Support Opportunities: Research Projects - Thematic Grants