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This document is the API specification for the MOEA Framework. The MOEA Framework is a free and open source Java
library for developing and experimenting with multiobjective evolutionary algorithms (MOEAs) and other general-purpose
optimization algorithms and metaheuristics. It supports genetic algorithms, differential evolution, particle swarm
optimization, genetic programming, grammatical evolution, and more. Problems can be defined using real or
integer-valued decision variables, permutations, binary arrays (bit strings), expression trees (programs), grammars,
and any combination thereof. This makes the MOEA Framework one of the most comprehensive evolutionary algorithm
libraries available.
The following table lists the algorithms provided by the MOEA Framework natively:
List of algorithms
Algorithm
Type
Real
Binary
Permutation
Subset
Grammar
Program
Constraints
AGE-MOEA-II
Genetic Algorithm
Yes
Yes
Yes
Yes
Yes
Yes
Yes
AMOSA
Simulated Annealing
Yes
Yes
Yes
Yes
Yes
Yes
Yes
CMA-ES
Evolutionary Strategy
Yes
No
No
No
No
No
Yes
DBEA
Decomposition
Yes
Yes
Yes
Yes
Yes
Yes
Yes
DE
Single Objective
Yes
No
No
No
No
No
Yes
eMOEA
ε-Dominance
Yes
Yes
Yes
Yes
Yes
Yes
Yes
eNSGAII
ε-Dominance
Yes
Yes
Yes
Yes
Yes
Yes
Yes
ES
Single Objective
Yes
No
No
No
No
No
Yes
GA
Single Objective
Yes
Yes
Yes
Yes
Yes
Yes
Yes
GDE3
Differential Evolution
Yes
No
No
No
No
No
Yes
IBEA
Indicator-Based
Yes
Yes
Yes
Yes
Yes
Yes
No
MOEAD
Decomposition
Yes
Yes
Yes
Yes
Yes
Yes
Yes
MSOPS
Differential Evolution
Yes
No
No
No
No
No
Yes
NSGAII
Genetic Algorithm
Yes
Yes
Yes
Yes
Yes
Yes
Yes
NSGAIII
Reference Points
Yes
Yes
Yes
Yes
Yes
Yes
Yes
OMOPSO
Particle Swarm
Yes
No
No
No
No
No
Yes
PAES
Evolutionary Strategy
Yes
Yes
Yes
Yes
Yes
Yes
Yes
PESA2
Genetic Algorithm
Yes
Yes
Yes
Yes
Yes
Yes
Yes
RSO
Single Objective
Yes
Yes
Yes
Yes
Yes
Yes
Yes
RVEA
Reference Vectors
Yes
Yes
Yes
Yes
Yes
Yes
Yes
SA
Simulated Annealing
Yes
Yes
Yes
Yes
Yes
Yes
Yes
SMPSO
Particle Swarm
Yes
No
No
No
No
No
Yes
SMSEMOA
Indicator-Based
Yes
Yes
Yes
Yes
Yes
Yes
Yes
SPEA2
Genetic Algorithm
Yes
Yes
Yes
Yes
Yes
Yes
Yes
UNSGAIII
Reference Points
Yes
Yes
Yes
Yes
Yes
Yes
Yes
VEGA
Genetic Algorithm
Yes
Yes
Yes
Yes
Yes
Yes
No
Furthermore, extensions are available to integrate with other popular libraries, including
JMetal-Plugin and
PISA-Plugin.
As this project is academic in nature, every effort is taking to ensure the correctness, quality, and openness of this
software. Please open an issue on our GitHub repository
if you encounter any issues.