2021-05-24 18:17:40 +02:00
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from numpy import sum, append, arange, delete, where
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2021-05-25 16:53:59 +02:00
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from numpy.random import randint, choice, shuffle
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2021-05-24 18:17:40 +02:00
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from pandas import DataFrame
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2021-04-29 12:33:46 +02:00
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2021-05-24 18:17:40 +02:00
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def get_row_distance(source, destination, data):
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row = data.query(
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"""(source == @source and destination == @destination) or \
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(source == @destination and destination == @source)"""
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)
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return row["distance"].values[0]
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def compute_distance(element, solution, data):
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accumulator = 0
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distinct_elements = solution.query(f"point != {element}")
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for _, item in distinct_elements.iterrows():
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accumulator += get_row_distance(
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source=element,
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destination=item.point,
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data=data,
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)
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return accumulator
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def generate_first_solution(n, m, data):
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solution = DataFrame(columns=["point", "distance"])
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solution["point"] = choice(n, size=m, replace=False)
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solution["distance"] = solution["point"].apply(
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func=compute_distance, solution=solution, data=data
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)
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2021-05-10 19:25:06 +02:00
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return solution
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2021-05-17 20:42:17 +02:00
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def evaluate_element(element, data):
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fitness = []
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2021-05-24 18:17:40 +02:00
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genotype = element.point.values
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2021-05-17 20:50:26 +02:00
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distances = data.query(f"source in @genotype and destination in @genotype")
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for item in genotype[:-1]:
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2021-05-17 20:42:17 +02:00
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element_df = distances.query(f"source == {item} or destination == {item}")
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max_distance = element_df["distance"].astype(float).max()
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fitness = append(arr=fitness, values=max_distance)
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distances = distances.query(f"source != {item} and destination != {item}")
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return sum(fitness)
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2021-04-29 12:33:46 +02:00
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2021-05-25 16:53:59 +02:00
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def select_distinct_genes(matching_genes, parents, m):
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2021-05-24 18:17:40 +02:00
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cutoff = randint(m)
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2021-05-25 16:53:59 +02:00
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distinct_indexes = delete(arange(m), matching_genes)
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first_parent_genes = parents[0].point.iloc[distinct_indexes[cutoff:]]
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second_parent_genes = parents[1].point.iloc[distinct_indexes[:cutoff]]
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2021-05-24 18:17:40 +02:00
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return first_parent_genes, second_parent_genes
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2021-05-25 16:53:59 +02:00
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def select_random_genes(matching_genes, parents, m):
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random_parent = parents[randint(len(parents))]
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distinct_indexes = delete(arange(m), matching_genes)
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genes = random_parent.point.iloc[distinct_indexes].values
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shuffle(genes)
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return genes
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2021-05-24 18:17:40 +02:00
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def repair_offspring(offspring, parents, m):
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while len(offspring) != m:
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if len(offspring) > m:
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best_index = offspring["distance"].astype(float).idxmax()
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offspring.drop(index=best_index, inplace=True)
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elif len(offspring) < m:
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random_parent = parents[randint(len(parents))]
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best_index = random_parent["distance"].astype(float).idxmax()
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best_point = random_parent["point"].loc[best_index]
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offspring = offspring.append(
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{"point": best_point, "distance": 0}, ignore_index=True
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)
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2021-05-25 16:53:59 +02:00
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random_parent.drop(index=best_index, inplace=True)
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2021-05-24 18:17:40 +02:00
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return offspring
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def get_matching_genes(parents):
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first_parent = parents[0].point
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second_parent = parents[1].point
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return where(first_parent == second_parent)
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def populate_offspring(values):
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offspring = DataFrame(columns=["point", "distance"])
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for element in values:
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aux = DataFrame(columns=["point", "distance"])
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aux["point"] = element
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offspring = offspring.append(aux)
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offspring["distance"] = 0
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offspring = offspring[1:]
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return offspring
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def uniform_crossover(parents, m):
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matching_indexes = get_matching_genes(parents)
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matching_genes = parents[0].point.iloc[matching_indexes]
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first_genes, second_genes = select_distinct_genes(matching_genes, parents, m)
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offspring = populate_offspring(values=[matching_genes, first_genes, second_genes])
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2021-05-24 18:17:40 +02:00
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viable_offspring = repair_offspring(offspring, parents, m)
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return viable_offspring
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2021-05-25 16:53:59 +02:00
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def position_crossover(parents, m):
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matching_genes = get_matching_genes(parents)
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shuffled_genes = select_random_genes(matching_genes, parents, m)
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offspring = populate_offspring(values=[matching_genes, shuffled_genes])
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return offspring
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2021-05-24 18:17:40 +02:00
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def crossover(mode, parents, m):
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if mode == "uniform":
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return uniform_crossover(parents, m)
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return position_crossover(parents, m)
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2021-04-29 12:33:46 +02:00
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def element_in_dataframe(solution, element):
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2021-05-24 18:17:40 +02:00
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duplicates = solution.query(f"point == {element}")
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return not duplicates.empty
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2021-05-24 18:17:40 +02:00
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def replace_worst_element(previous, n, data):
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solution = previous.copy()
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worst_index = solution["distance"].astype(float).idxmin()
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2021-05-24 18:17:40 +02:00
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random_element = randint(n)
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2021-04-29 12:33:46 +02:00
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while element_in_dataframe(solution=solution, element=random_element):
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random_element = randint(n)
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solution["point"].loc[worst_index] = random_element
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solution["distance"].loc[worst_index] = compute_distance(
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element=solution["point"].loc[worst_index], solution=solution, data=data
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)
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return solution
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2021-04-29 12:33:46 +02:00
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2021-05-24 18:17:40 +02:00
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def get_random_solution(previous, n, data):
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solution = replace_worst_element(previous, n, data)
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while solution["distance"].sum() <= previous["distance"].sum():
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solution = replace_worst_element(previous=solution, n=n, data=data)
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2021-04-29 12:33:46 +02:00
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return solution
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2021-05-24 18:17:40 +02:00
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def explore_neighbourhood(element, n, data, max_iterations=100000):
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2021-04-29 12:33:46 +02:00
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neighbourhood = []
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neighbourhood.append(element)
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for _ in range(max_iterations):
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previous_solution = neighbourhood[-1]
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2021-05-24 18:17:40 +02:00
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neighbour = get_random_solution(previous=previous_solution, n=n, data=data)
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neighbourhood.append(neighbour)
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return neighbour
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2021-05-10 19:25:06 +02:00
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def genetic_algorithm(n, m, data):
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first_solution = generate_first_solution(n, m, data)
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2021-04-29 12:33:46 +02:00
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best_solution = explore_neighbourhood(
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element=first_solution, n=n, data=data, max_iterations=100
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2021-04-29 12:33:46 +02:00
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)
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return best_solution
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