An Improved Adaptive Genetic Algorithm for Two-Dimensional Rectangular Packing Problem

Autor: Hong-Bao Sang, Xiang Xiong, Yu-Rou Li, Yi-Bo Li
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Computer science
Heuristic (computer science)
Population
Crossover
0211 other engineering and technologies
02 engineering and technology
lcsh:Technology
lcsh:Chemistry
Genetic algorithm
0202 electrical engineering
electronic engineering
information engineering

sort
General Materials Science
education
lcsh:QH301-705.5
Instrumentation
Fluid Flow and Transfer Processes
education.field_of_study
021103 operations research
lcsh:T
Process Chemistry and Technology
General Engineering
Sorting
filling rate
rectangular packing problem
lcsh:QC1-999
Computer Science Applications
hybrid adaptive genetic algorithm
Packing problems
lcsh:Biology (General)
lcsh:QD1-999
lcsh:TA1-2040
Benchmark (computing)
heuristic
020201 artificial intelligence & image processing
lcsh:Engineering (General). Civil engineering (General)
Algorithm
optimization
lcsh:Physics
Zdroj: Applied Sciences
Volume 11
Issue 1
Applied Sciences, Vol 11, Iss 413, p 413 (2021)
ISSN: 2076-3417
DOI: 10.3390/app11010413
Popis: This paper proposes the hybrid adaptive genetic algorithm (HAGA) as an improved method for solving the NP-hard two-dimensional rectangular packing problem to maximize the filling rate of a rectangular sheet. The packing sequence and rotation state are encoded in a two-stage approach, and the initial population is constructed from random generation by a combination of sorting rules. After using the sort-based method as an improved selection operator for the hybrid adaptive genetic algorithm, the crossover probability and mutation probability are adjusted adaptively according to the joint action of individual fitness from the local perspective and the global perspective of population evolution. The approach not only can obtain differential performance for individuals but also deals with the impact of dynamic changes on population evolution to quickly find a further improved solution. The heuristic placement algorithm decodes the rectangular packing sequence and addresses the two-dimensional rectangular packing problem through continuous iterative optimization. The computational results of a wide range of benchmark instances from zero-waste to non-zero-waste problems show that the HAGA outperforms those of two adaptive genetic algorithms from the related literature. Compared with some recent algorithms, this algorithm, which can be increased by up to 1.6604% for the average filling rate, has great significance for improving the quality of work in fields such as packing and cutting.
Databáze: OpenAIRE