I want to solve a multi-objective optimization problem using DEAP library. Since i am new in DEAP, i used this example of NSGA-II as a template for my own problem. In the example, in line 59, tools.selNSGA2
function is registered to toolbox
object, after that, is used as toolbox.select
:
toolbox.register("select", tools.selNSGA2)
Then in the main function, in line 96, tools.selTournamentDCD
function, is used to select offspring, however i couldn't figure out what does it do. Also i couldn't find anything about it in the paper which NSGA-II is proposed.
Following code is the main function of the example:
def main(seed=None):
random.seed(seed)
NGEN = 250
MU = 100
CXPB = 0.9
pop = toolbox.population(n=MU)
# Evaluate the individuals with an invalid fitness
invalid_ind = [ind for ind in pop if not ind.fitness.valid]
fitnesses = toolbox.map(toolbox.evaluate, invalid_ind)
for ind, fit in zip(invalid_ind, fitnesses):
ind.fitness.values = fit
# This is just to assign the crowding distance to the individuals
# no actual selection is done
pop = toolbox.select(pop, len(pop))
# Begin the generational process
for gen in range(1, NGEN):
# Vary the population
offspring = tools.selTournamentDCD(pop, len(pop))
offspring = [toolbox.clone(ind) for ind in offspring]
for ind1, ind2 in zip(offspring[::2], offspring[1::2]):
if random.random() <= CXPB:
toolbox.mate(ind1, ind2)
toolbox.mutate(ind1)
toolbox.mutate(ind2)
del ind1.fitness.values, ind2.fitness.values
# Evaluate the individuals with an invalid fitness
invalid_ind = [ind for ind in offspring if not ind.fitness.valid]
fitnesses = toolbox.map(toolbox.evaluate, invalid_ind)
for ind, fit in zip(invalid_ind, fitnesses):
ind.fitness.values = fit
# Select the next generation population
pop = toolbox.select(pop + offspring, MU)
return pop, logbook
MY QUESTIONS: Is tools.selTournamentDCD
function a part of NSGA-II algorithm? Is it obligatory to use tools.selTournamentDCD
to create offspring in DEAP? Can you please tell me when should i use this function and what does it do?
Thanks in advance
This is the paper where you can check details about NSGA-II (it's the one cited by DEAP) https://link.springer.com/chapter/10.1007/3-540-45356-3_83
I am still new using this library, but I think you are not forced to use tools.selTournamentDCD
I think you are able to use other selection or pre-selection operators like
selRandom
or selRoulette