A Python implementation of the decomposition based multi-objective evolutionary algorithm (MOEA/D).

MOEA/D is described in the following publication: Zhang, Q. & Li, H. MOEA/D: A Multiobjective Evolutionary Algorithm Based on Decomposition. IEEE Trans. Evol. Comput. 11, 712–731 (2007).

The code in moead.py is a port of the MOEA/D algorithm provided by jmetal.metaheuristics.moead.MOEAD.java from the JMetal Java multi-objective metaheuristic algorithm framework (http://jmetal.sourceforge.net/). The JMetal specific functions have been converted to the DEAP (Distributed Evolutionary Algorithms in Python, http://deap.readthedocs.io/en/master/) equivalence.

moead.py - The class implementing the MOEA/D algorithm. Once the class MOEAD has been initialized, the algorithm can be executed with the execute() method.

knapsack.py - An example of the multi-objective knapsack optimization problem. The original code is borrowed from DEAP (http://deap.readthedocs.io/en/master/examples/ga_knapsack.html) with modifications to use moead.py and an added triple-objective variant of the problem where weight difference between neighbouring items is minimized. You can run the example with:

python knapsack.py <SEED> <OBJECTIVES>

Where is an optional integer for randomized execution. is either 2 or 3 and selects either the original 2 objective knapsack problem or a triple-objective variant.

The current version works with 2 or 3 objectives and more than 3 objectives if a weight file is provided. The algorithm has been tested on the knapsack examples (knapsack.py) provided above.

Contact Manuel Belmadani <[email protected]> for questions or comments. Pull requests are welcome! There's also the issues section (https://github.com/mbelmadani/moead-py/issues) where you can file bugs or request enhancements.