From 7022e1105fa350a75c42074936c4702ec44d651a Mon Sep 17 00:00:00 2001 From: Andrew Date: Tue, 18 Feb 2025 15:38:33 +0000 Subject: [PATCH] [CT421]: Assignment 1 mostly done --- .../assignments/assignment1/code/output.tsv | 100118 ++++++++++++++- .../assignments/assignment1/code/plots.py | 33 + .../assignments/assignment1/code/salesman.py | 108 +- .../assignment1/latex/references.bib | 2 + 4 files changed, 100120 insertions(+), 141 deletions(-) create mode 100755 year4/semester2/CT421/assignments/assignment1/code/plots.py create mode 100644 year4/semester2/CT421/assignments/assignment1/latex/references.bib diff --git a/year4/semester2/CT421/assignments/assignment1/code/output.tsv b/year4/semester2/CT421/assignments/assignment1/code/output.tsv index 40a7c3de..fc59ef93 100644 --- a/year4/semester2/CT421/assignments/assignment1/code/output.tsv +++ b/year4/semester2/CT421/assignments/assignment1/code/output.tsv @@ -1,119 +1,100001 @@ timestamp generation population_size avg_fitness 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18353.60796853838 15213.256165506513 10343.038880489492 +1739892563.0025175 21966 100 18137.436548750597 14296.409796058142 10343.038880489492 +1739892563.0066044 21967 100 17926.909127924144 14648.59888301817 10343.038880489492 +1739892563.0106983 21968 100 17769.51604447382 14210.038461529308 10343.038880489492 +1739892563.0146852 21969 100 16896.554766017784 14210.038461529308 10343.038880489492 +1739892563.0187266 21970 100 17123.418842640847 14210.038461529308 10343.038880489492 +1739892563.02261 21971 100 16807.83993268657 14210.038461529308 10343.038880489492 +1739892563.0267158 21972 100 17487.802607177015 14453.933524176073 10343.038880489492 +1739892563.0306587 21973 100 16925.686055499442 14453.933524176073 10343.038880489492 +1739892563.0347393 21974 100 16686.352520369688 13800.581908006987 10343.038880489492 +1739892563.0390248 21975 100 17005.898329810887 13990.811228239325 10343.038880489492 +1739892563.0433526 21976 100 17149.459771223286 13916.671989843653 10343.038880489492 +1739892563.047621 21977 100 17096.030446392695 13647.694558395991 10343.038880489492 +1739892563.052041 21978 100 16577.951854317318 13647.694558395991 10343.038880489492 +1739892563.0565577 21979 100 16703.088438431903 13647.694558395991 10343.038880489492 +1739892563.0610096 21980 100 17049.650275170676 13647.694558395991 10343.038880489492 +1739892563.0653746 21981 100 16008.250160062185 13482.69283878922 10343.038880489492 +1739892563.0695734 21982 100 16339.525222991091 13584.629063150343 10343.038880489492 +1739892563.0737076 21983 100 16567.415614102723 14073.516274203937 10343.038880489492 +1739892563.0777056 21984 100 16239.822238670917 13747.661928465464 10343.038880489492 +1739892563.081674 21985 100 16429.11176201327 13747.661928465464 10343.038880489492 +1739892563.085709 21986 100 16917.094673999032 13747.661928465464 10343.038880489492 +1739892563.0895915 21987 100 16804.921640472046 13905.901101120848 10343.038880489492 +1739892563.093565 21988 100 17586.880434262137 13888.893888819639 10343.038880489492 +1739892563.097447 21989 100 17676.396701785317 12975.333506476314 10343.038880489492 +1739892563.1012454 21990 100 17303.43168774232 14124.865679065037 10343.038880489492 +1739892563.1051466 21991 100 17701.49539490091 13309.642402905934 10343.038880489492 +1739892563.1089203 21992 100 16383.012228871228 13309.642402905934 10343.038880489492 +1739892563.112695 21993 100 16531.529761961432 13309.642402905934 10343.038880489492 +1739892563.1164677 21994 100 16926.199549670306 13309.642402905934 10343.038880489492 +1739892563.1202393 21995 100 16670.011460585087 13309.642402905934 10343.038880489492 +1739892563.1240747 21996 100 15905.690372757883 13309.642402905934 10343.038880489492 +1739892563.1277077 21997 100 16300.920284953736 13263.463073177063 10343.038880489492 +1739892563.1314182 21998 100 16230.112813299666 13309.642402905934 10343.038880489492 +1739892563.1350977 21999 100 16188.684824753913 13309.642402905934 10343.038880489492 +1739892563.1388376 22000 100 15523.177514170473 13309.642402905934 10343.038880489492 +1739892563.142639 22001 100 15326.570192006002 13309.642402905934 10343.038880489492 +1739892563.146358 22002 100 15917.482209708669 13296.836752812826 10343.038880489492 +1739892563.149981 22003 100 16037.284348646168 13309.642402905933 10343.038880489492 +1739892563.1538334 22004 100 16539.801165909346 13309.642402905934 10343.038880489492 +1739892563.1575823 22005 100 15850.563065186558 12906.835360684418 10343.038880489492 +1739892563.1613946 22006 100 16279.496906501781 12906.835360684418 10343.038880489492 +1739892563.1650226 22007 100 15739.183999038443 12906.835360684418 10343.038880489492 +1739892563.168776 22008 100 15705.244478044251 12906.835360684418 10343.038880489492 +1739892563.1725898 22009 100 15741.080361039527 12906.835360684418 10343.038880489492 +1739892563.1764262 22010 100 15556.345326863211 12906.835360684418 10343.038880489492 +1739892563.180288 22011 100 15857.143764896107 12906.835360684418 10343.038880489492 +1739892563.1843684 22012 100 16188.830165673196 12906.835360684418 10343.038880489492 +1739892563.1883452 22013 100 16011.17738654882 12906.835360684418 10343.038880489492 +1739892563.1923115 22014 100 16019.474688154878 12906.835360684418 10343.038880489492 +1739892563.196384 22015 100 15901.700715544035 13436.082871022101 10343.038880489492 +1739892563.200347 22016 100 15386.010359797669 13436.082871022101 10343.038880489492 +1739892563.2042055 22017 100 15576.003138112581 13436.082871022101 10343.038880489492 +1739892563.2080915 22018 100 16379.376497515259 13436.082871022101 10343.038880489492 +1739892563.2121017 22019 100 16318.38530790429 13436.082871022101 10343.038880489492 +1739892563.2162273 22020 100 16721.981944997922 13436.082871022101 10343.038880489492 +1739892563.220403 22021 100 16522.43583230275 13436.082871022101 10343.038880489492 +1739892563.2244847 22022 100 16165.448685197618 13436.082871022096 10343.038880489492 +1739892563.2286785 22023 100 16498.833345115778 13436.082871022101 10343.038880489492 +1739892563.2327957 22024 100 15835.00907028015 13436.082871022101 10343.038880489492 +1739892563.237194 22025 100 16074.550860670044 13436.0828710221 10343.038880489492 +1739892563.2415843 22026 100 15723.107471317226 13436.0828710221 10343.038880489492 +1739892563.245856 22027 100 15590.502720235972 13537.303807773958 10343.038880489492 +1739892563.2501652 22028 100 15734.614749066557 13397.946840945122 10343.038880489492 +1739892563.2546456 22029 100 15154.561013175933 13397.946840945122 10343.038880489492 +1739892563.2590992 22030 100 15382.502700442446 13589.948220834287 10343.038880489492 +1739892563.2636526 22031 100 15151.016395472698 13397.946840945122 10343.038880489492 +1739892563.2683423 22032 100 15210.595183915008 13489.541926657957 10343.038880489492 +1739892563.2731788 22033 100 15285.807886789526 13489.541926657957 10343.038880489492 +1739892563.2778826 22034 100 15286.943945394009 13530.528305678077 10343.038880489492 +1739892563.2823648 22035 100 15020.03239050234 13358.915547312177 10343.038880489492 +1739892563.2869487 22036 100 15475.158126945402 13430.836802363954 10343.038880489492 +1739892563.291598 22037 100 15327.589181264797 13290.311817340253 10343.038880489492 +1739892563.2959542 22038 100 15349.7800448988 13392.669886153584 10343.038880489492 +1739892563.3002453 22039 100 15289.049402880888 13212.000348421798 10343.038880489492 +1739892563.3045838 22040 100 15351.857787107523 13159.635833668539 10343.038880489492 +1739892563.3091512 22041 100 15381.228319510665 13159.635833668539 10343.038880489492 +1739892563.3135157 22042 100 15508.244389903599 13159.635833668539 10343.038880489492 +1739892563.3179877 22043 100 16165.082676557442 13159.635833668539 10343.038880489492 +1739892563.322367 22044 100 15606.115811415273 13212.000348421798 10343.038880489492 +1739892563.3267472 22045 100 15488.64083907126 13212.000348421798 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100 15280.719109397845 12990.844582754833 10141.400891482532 +1739892885.5501726 99995 100 14903.571027603588 12877.490663351651 10141.400891482532 +1739892885.5543408 99996 100 15024.719483015811 12990.844582754833 10141.400891482532 +1739892885.5585797 99997 100 15344.53160593238 12640.899720850655 10141.400891482532 +1739892885.5629995 99998 100 15738.855757853842 12640.899720850655 10141.400891482532 +1739892885.5671785 99999 100 15332.645262313436 12640.899720850655 10141.400891482532 diff --git a/year4/semester2/CT421/assignments/assignment1/code/plots.py b/year4/semester2/CT421/assignments/assignment1/code/plots.py new file mode 100755 index 00000000..01a58019 --- /dev/null +++ b/year4/semester2/CT421/assignments/assignment1/code/plots.py @@ -0,0 +1,33 @@ +#!/usr/bin/python3 + +import matplotlib.pyplot as plt +import pandas as pd +import argparse + +# Load TSV file +def plot_fitness_trends(file_path): + df = pd.read_csv(file_path, sep='\t') + + plt.figure(figsize=(10, 5)) + plt.plot(df['generation'], df['avg_fitness'], label='Avg Fitness', marker=None) + plt.plot(df['generation'], df['generation_best'], label='Generation Best', marker=None) + plt.plot(df['generation'], df['current_best'], label='Current Best', marker=None) + + plt.xlabel('Generation') + plt.ylabel('Fitness') + plt.title('Fitness Trends Across Generations') + plt.legend() + plt.grid() + plt.show() + + +# Main function +def main(): + parser = argparse.ArgumentParser(description='Plot fitness trends from a TSV file.') + parser.add_argument('file_path', type=str, help='Path to the TSV file') + args = parser.parse_args() + + plot_fitness_trends(args.file_path) + +if __name__ == "__main__": + main() diff --git a/year4/semester2/CT421/assignments/assignment1/code/salesman.py b/year4/semester2/CT421/assignments/assignment1/code/salesman.py index 3f85bd34..7db0759e 100755 --- a/year4/semester2/CT421/assignments/assignment1/code/salesman.py +++ b/year4/semester2/CT421/assignments/assignment1/code/salesman.py @@ -108,6 +108,15 @@ def select(population, fitnesses, number_to_select): return random.choices(population, weights, k=number_to_select) +# tournament +def tournament_select(population, fitnesses, number_to_select, tournament_size=3): + selected = [] + for _ in range(number_to_select): + tournament = random.sample(list(zip(population, fitnesses)), tournament_size) + winner = min(tournament, key=lambda x: x[1]) # Assuming lower fitness is better + selected.append(winner[0]) + return selected + # general crossover function def crossover(population, crossover_rate, number_to_replace): @@ -122,16 +131,16 @@ def crossover(population, crossover_rate, number_to_replace): if random.random() < crossover_rate: # randomly alternate between the two crossover operators (50-50) if random.random() < 0.5: - child = pmx_crossover(parent1, parent2) + child = pmx(parent1, parent2) else: - child = ox_crossover(parent1, parent2) + child = ox(parent1, parent2) offspring.append(child) return offspring # function to perform partially mapped crossover (as defined on wikipedia) on two parents -def pmx_crossover(parent1, parent2): +def pmx(parent1, parent2): size = len(parent1) child = [None] * size @@ -175,7 +184,7 @@ def pmx_crossover(parent1, parent2): # function to perform order crossover on two parents -def ox_crossover(parent1, parent2): +def ox(parent1, parent2): size = len(parent1) child = [None] * size @@ -202,21 +211,56 @@ def ox_crossover(parent1, parent2): # general mutation function def mutate(offspring, mutation_rate): - offspring = [] + for index in range(len(offspring)): + if random.random() < mutation_rate: + # randomly alternate between the two mutation operators (50-50) + if random.random() < 0.5: + offspring[index] = rsm(offspring[index]) + else: + offspring[index] = psm(offspring[index]) + return offspring -def main(): - parser = argparse.ArgumentParser(description="Program to solve the travelling salesman problem for a given TSP file using a genetic algorithm.") - parser.add_argument("-i", "--input-file", type=str, help="Path to input file in TSP format", required=True) - parser.add_argument("-s", "--size", type=int, help="Initial population size", required=False, default=100) - parser.add_argument("-g", "--num-generations", type=int, help="Number of generations", required=False, default=500) - parser.add_argument("-a", "--give-up-after", type=int, help="Number of generations to give up after if best solution has remained unchanged", required=False, default=100) - parser.add_argument("-p", "--selection-proportion", type=float, help="The proportion of the population to be selected (survive) on each generation", required=False, default=0.2) - parser.add_argument("-c", "--crossover-rate", type=float, help="Probability of a selected pair of solutions to sexually reproduce", required=False, default=0.8) - parser.add_argument("-m", "--mutation-rate", type=float, help="Probability of a selected offspring to undergo mutation", required=False, default=0.2) - args=parser.parse_args() +# reverse sequence mutation +def rsm(tour): + size = len(tour) + # pick two random indices to define our subsequence + start = random.randint(0, size) + end = random.randint(0, size) + + # swap them if start is after end + if end < start: + start, end = end, start + + # reverse subsequence + tour[start:end] = tour[start:end][::-1] + + return tour + + +# partial shuffle mutation +def psm(tour): + size = len(tour) + + # pick two random indices to define our subsequence + start = random.randint(0, size) + end = random.randint(0, size) + + # swap them if start is after end + if end < start: + start, end = end, start + + subsequence = tour[start:end] + random.shuffle(subsequence) + tour[start:end] = subsequence + + return tour + + +# function to run the genetic algorithm over a number of generations +def evolve(graph, adjacency_matrix, args): print("Input file: " + str(args.input_file)) print("Initial population size: " + str(args.size)) print("Number of generations: " + str(args.num_generations)) @@ -225,9 +269,6 @@ def main(): print("Crossover rate: " + str(args.crossover_rate)) print("Mutation rate: " + str(args.crossover_rate)) - graph = graph_from_file(args.input_file) - adjacency_matrix = adjacency_matrix_from_graph(graph) - # get initial population & its details population = initialise_population(args.size, graph) fitnesses = list_of_fitnesses(population, adjacency_matrix) @@ -235,19 +276,19 @@ def main(): # appending results to an array of strings rather than to a string as it's more efficient results = ["timestamp\tgeneration\tpopulation_size\tavg_fitness\tgeneration_best\tcurrent_best"] - results.append(str(time.time()) + "\t" + "0\t" + str(len(population)) + "\t" + str(sum(fitnesses)/len(fitnesses)) + "\t" + str(current_best["fitness"]) + "\t" + str(current_best["fitness"])) + results.append(str(time.time()) + "\t" + "0\t" + str(len(population)) + "\t" + str(sum(fitnesses) / len(fitnesses)) + "\t" + str(current_best["fitness"]) + "\t" + str(current_best["fitness"])) # this is where efficiency gets critical lol for generation in range(1, args.num_generations): print("Generation " + str(generation) + " of " + str(args.num_generations)) # deselect solutions from population probabilistically - population = select(population, fitnesses, int(len(population) * args.selection_proportion)) + population = tournament_select(population, fitnesses, int(len(population) * args.selection_proportion)) # create a number of offspring with crossover to replace the number deselected offspring = crossover(population, args.crossover_rate, args.size - len(population)) # mutate offspring and add them to the original population to restore size - population += offspring + population += mutate(offspring, args.mutation_rate) # calculate fitnesses fitnesses = list_of_fitnesses(population, adjacency_matrix) @@ -257,7 +298,7 @@ def main(): if generation_best["fitness"] < current_best["fitness"]: current_best = generation_best - results.append(str(time.time()) + "\t" + str(generation) + "\t" + str(len(population)) + "\t" + str(sum(fitnesses)/len(fitnesses)) + "\t" + str(generation_best["fitness"]) + "\t" + str(current_best["fitness"])) + results.append(str(time.time()) + "\t" + str(generation) + "\t" + str(len(population)) + "\t" + str(sum(fitnesses) / len(fitnesses)) + "\t" + str(generation_best["fitness"]) + "\t" + str(current_best["fitness"])) if (generation - current_best["generation"]) >= args.give_up_after: print("Best solution has not changed in " + str(args.give_up_after) + " generations. Giving up.") @@ -267,10 +308,31 @@ def main(): print("Fitness of best solution: " + str(current_best["fitness"])) print("Best solution found in generation: " + str(current_best["generation"])) - with open("output.tsv", "w") as file: + with open(args.output_file, "w") as file: for line in results: file.write(line + "\n") +def main(): + # parse command line arguments and flags + parser = argparse.ArgumentParser(description="Program to solve the travelling salesman problem for a given TSP file using a genetic algorithm.") + parser.add_argument("-i", "--input-file", type=str, help="Path to input file in TSP format", required=True) + parser.add_argument("-s", "--size", type=int, help="Initial population size", required=False, default=100) + parser.add_argument("-g", "--num-generations", type=int, help="Number of generations", required=False, default=500) + parser.add_argument("-a", "--give-up-after", type=int, help="Number of generations to give up after if best solution has remained unchanged", required=False, default=100) + parser.add_argument("-p", "--selection-proportion", type=float, help="The proportion of the population to be selected (survive) on each generation", required=False, default=0.2) + parser.add_argument("-c", "--crossover-rate", type=float, help="Probability of a selected pair of solutions to sexually reproduce", required=False, default=0.8) + parser.add_argument("-m", "--mutation-rate", type=float, help="Probability of a selected offspring to undergo mutation", required=False, default=0.2) + parser.add_argument("-o", "--output-file", type=str, help="File to write TSV results to", required=False, default="output.tsv") + args=parser.parse_args() + + # read in files and generate graph + adjacency matrix:w + graph = graph_from_file(args.input_file) + adjacency_matrix = adjacency_matrix_from_graph(graph) + + # run the genetic algorithm + evolve(graph, adjacency_matrix, args) + + if __name__ == "__main__": main() diff --git a/year4/semester2/CT421/assignments/assignment1/latex/references.bib b/year4/semester2/CT421/assignments/assignment1/latex/references.bib new file mode 100644 index 00000000..1a5eb249 --- /dev/null +++ b/year4/semester2/CT421/assignments/assignment1/latex/references.bib @@ -0,0 +1,2 @@ +https://link.springer.com/article/10.1023/A:1006529012972 +https://arxiv.org/pdf/1203.5028