Title
Bound constraints handling in Differential Evolution: An experimental study
Abstract
Bound constraints are lower and upper limits for coordinate values of feasible solutions. This paper is devoted to the issue of handling bound constraints in Differential Evolution (DE). We overview the majority of popular Bound Constraint Handling Methods (BCHMs), which can be classified as penalty function methods, repair methods and specialized mutation methods. We discuss and empirically verify how BCHMs influence the pattern of individuals generated by DE. We take 7 different DE algorithms and 17 different BCHMs, and perform experimental analysis of their combinations to characterize their efficiency in exploitation and exploration. As a basis for the experiments, we take a 10-dimensional quadratic function with various locations of the minimum and CEC′2017 benchmark set, which defines 30 optimization problems in 10, 30, 50 and 100 dimensions. We observe that DE algorithms differ significantly in the degree to which their efficiency depends on the choice of particular BCHMs. We identify which BCHMs usually lead to efficient optimization for the majority of DE algorithms. Similarly, we identify BCHMs which should definitely be avoided.
Year
DOI
Venue
2019
10.1016/j.swevo.2018.10.004
Swarm and Evolutionary Computation
Keywords
Field
DocType
Differential evolution,Bound constraints handling
Mathematical optimization,Computer science,Differential evolution,Quadratic function,Optimization problem,Penalty method
Journal
Volume
ISSN
Citations 
50
2210-6502
2
PageRank 
References 
Authors
0.38
22
3
Name
Order
Citations
PageRank
Rafal Biedrzycki172.82
Jaroslaw Arabas222934.71
Dariusz Jagodziński320.38