Beispiel #1
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def search(knapsack: Knapsack, max_evals: int) -> Tuple[float, int]:
    """Use the hill climber best improvement to find a solution."""
    base_solution = random_solution(knapsack)
    base_score = knapsack.evaluate(base_solution)
    nb_eval = 1

    while True:
        best_score = -math.inf
        index_solution = -1

        for i in range(knapsack.items):
            base_solution[i] = not base_solution[i]
            score = knapsack.evaluate(base_solution)
            nb_eval += 1

            if score > best_score:
                best_score = score
                index_solution = i

            base_solution[i] = not base_solution[i]

        if nb_eval >= max_evals:
            break

        if best_score > base_score:
            base_solution[index_solution] = not base_solution[index_solution]
            base_score = best_score
        else:
            break  # Optimum local

    return base_score, nb_eval
Beispiel #2
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def search(knapsack: Knapsack, max_nb_eval: int) -> Tuple[float, int]:
    base_solution = random_solution(knapsack)
    base_score = knapsack.evaluate(base_solution)
    nb_eval = 1
    voisins_possibles = list(range(knapsack.items))

    while True:
        shuffle(voisins_possibles)
        current_score = base_score
        index_voisin = -1

        while (index_voisin + 1 < len(voisins_possibles)
               and current_score <= base_score and nb_eval <= max_nb_eval):
            index_voisin += 1
            index = voisins_possibles[index_voisin]
            base_solution[index] = not base_solution[index]
            current_score = knapsack.evaluate(base_solution)
            nb_eval += 1
            base_solution[index] = not base_solution[index]

        if current_score > base_score:
            base_score = current_score
            index = voisins_possibles[index_voisin]
            base_solution[index] = not base_solution[index]
        elif index_voisin + 1 == len(voisins_possibles):
            break  # optimum local

        if nb_eval >= max_nb_eval:
            break

    return base_score, nb_eval
Beispiel #3
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 def test_input_raises_value_error_if_wrong_len_of_data(self):
     self.input_data.pop(0)
     with self.assertRaises(ValueError) as e:
         Knapsack.process_input_data(self.input_data)
     self.assertTrue(
         Knapsack._DATA_LENGTH_ERROR.format(len(self.input_data))
         in str(e.exception))
    def test_knapsack_empty(self):
        bag = ()
        size = 50
        ks = Knapsack(bag, size)
        result = ks.solve()

        self.assertEqual((), result)
 def head(self, triangles):
     LIMIT = 180
     knapsack = Knapsack(triangles, LIMIT)
     head = knapsack.main()
     for h in head:
         triangles.remove(h)
     head = self.sortHead(head)
     return [head, triangles]
    def rest(self, triangles):
        remainig = []
        while True:
            ks = Knapsack(triangles, 180)
            seq = ks.main()
            for s in seq:
                triangles.remove(s)
            remainig.append(seq)
            if triangles == []:
                break

        return remainig
Beispiel #7
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def optimize_values(data_frame, capacity, label):
    data_frame = data_frame.drop_duplicates(subset='Keyword')
    cost = data_frame.daily_cost_average.copy(deep=True)
    cost[cost == 0] = minimum / 10
    values = (data_frame.daily_impressions_average +
              data_frame.daily_clicks_average) * (1 / cost)
    opt = Knapsack(items_names=data_frame.Keyword.to_list(),
                   values=values.to_list(),
                   capacity=capacity,
                   weights=data_frame.daily_cost_average.tolist(),
                   solve_type=5,
                   name='Branch_n_bound_%s' % label)
    opt.get_results(print_it=True)
    df = data_frame[data_frame.Keyword.isin(opt.packed_items)]
    return df
Beispiel #8
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 def __init__(self, mu: int, knapsack: Knapsack):
     self.knapsack = knapsack
     parents = [random_solution(knapsack) for i in range(mu)]
     self._population = [
         Individu(parent, knapsack.evaluate(parent)) for parent in parents
     ]
     self.mu = mu
Beispiel #9
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class KnapsackTest(unittest.TestCase):

    def setUp(self):
        self.weight_available = 7
        weight_per_item = [2, 3, 4, 5]
        value_per_item = [3, 4, 5, 5]
        self.input_data = ['7', '2 3 4 5', '3 4 5 5']
        self.obj = Knapsack(self.weight_available, weight_per_item, value_per_item)

    def test_rec_knap_returns_zero_if_iterator_equals_zero(self):
        res = self.obj.rec_knap(0, self.weight_available)
        self.assertEqual(res, 0)

    def test_rec_knap_returns_proper_value(self):
        res = self.obj.rec_knap(
            self.obj.number_of_items, self.weight_available)
        self.assertEqual(res, 9)

    def test_get_values_returns_proper_items(self):
        res = self.obj.get_values()
        self.assertEqual(len(res), 2)
        self.assertEqual(res[1], [(3, 4), (4, 5)])

    def test_input_processes_and_returns_list_succeeds(self):
        res = Knapsack.process_input_data(self.input_data)
        self.assertEqual(res, [7, [2, 3, 4, 5], [3, 4, 5, 5]])

    def test_input_raises_value_error_if_wrong_len_of_data(self):
        self.input_data.pop(0)
        with self.assertRaises(ValueError) as e:
            Knapsack.process_input_data(self.input_data)
        self.assertTrue(
            Knapsack._DATA_LENGTH_ERROR.format(len(self.input_data))
            in str(e.exception))

    def test_input_raises_value_error_if_wrong_input(self):
        self.input_data[2] = '3 4 5'
        with self.assertRaises(ValueError) as e:
            Knapsack.process_input_data(self.input_data)
        self.assertTrue(Knapsack._DATA_INPUT_ERROR in str(e.exception))

    def test_input_raises_value_error_if_wrong_input_type(self):
        self.input_data[1] = '3 4 5 A'
        with self.assertRaises(ValueError) as e:
            Knapsack.process_input_data(self.input_data)
        self.assertTrue('invalid literal' in str(e.exception))
    def test_knapsack_values(self):
        bag = (
            (10, 60),
            (20, 100),
            (30, 195),
            (40, 120),
            (50, 120),
            (5, 120),
            (60, 120),
            (10, 50),
            (10, 200),
            (20, 120),
        )
        size = 50
        ks = Knapsack(bag, size)
        result = ks.solve()

        self.assertEqual(((30, 195), (5, 120), (10, 200)), result)
def read_input():
    print("Enter items knapsack volume and items number")
    volume, items_number = map(int, input().split())
    costs = []
    weights = []
    print("Enter item weight and item cost")
    for i in range(0, items_number):
        item_weight, item_cost = map(int, input().split())
        costs.append(item_cost)
        weights.append(item_weight)
    return Knapsack(volume, costs, weights), items_number
Beispiel #12
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def loadInstances(files):
    '''
    Load instances from files.
    '''
    # if there are more than 1 available files
    if len(files) > 1:
        instances = validateChoices('file', files)
    # if there is only 1 available file
    else:
        instances = files

    # queue for threads
    thread_queue = Queue(len(instances))
    # list of threads for reading files
    reading = list()
    for index, file_name in enumerate(instances):
        name = 'r%d' % index
        # new thread to read a file
        read = Thread(target=lambda q, arg: q.put(Knapsack.fromFile(arg)),
                      args=(thread_queue, file_name),
                      name=name,
                      daemon=True)
        # start new thread and add it to list
        read.start()
        reading.append(read)

    heuristics = validateChoices('heuristic')

    # number of instances to solve
    size = len(instances)
    index = 1
    load_str = '  Loading instance...'
    # while there exist unsolved instances
    while size:
        # loop over list of threads
        for read in reading:
            # if thread is still running
            if read.is_alive():
                print('%s\r' % load_str, end='')
                # check next thread
                continue
            read.join()
            # get Knapsack object
            knapsack = thread_queue.get()
            if knapsack is not None:
                print('%s\r' % (' ' * len(load_str)), end='')
                solveInstance(knapsack, index, heuristics)
            size -= 1
            index += 1
            # if all instances have been solved
            if size <= 0:
                # break for
                break
Beispiel #13
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    def read(self):
        C = self.file.readline()
        print("Number of test cases is C:", C)
        lines = self.file.readlines()
        items_num_flag = True
        knapsack = Knapsack(0, 0)
        template_counter = 0
        for line in lines:
            if line[0] == '\n':
                continue
            if len((line.rstrip()).split()) == 1 and items_num_flag:
                items_num_flag = False
                if knapsack.S != 0:
                    self.knapsacks.append(knapsack)
                del knapsack
                knapsack = Knapsack(0, 0)
                knapsack.N = int(line.rstrip())
                continue
            if len((line.rstrip()).split()) == 1 and not items_num_flag:
                items_num_flag = True
                knapsack.S = int(line.rstrip())
                continue

            # Initialize knapsack items
            line.rstrip()
            weight, value = line.split(' ')
            item = Item(int(weight), int(value))
            knapsack.items.append(item)
        self.knapsacks.append(knapsack)
Beispiel #14
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 def read(self):
     C = int(input("Enter the number of test case: "))
     # Loop through the test cases
     for i in range(C):
         print("Test case: " + str(i + 1))
         N = int(input("Enter the number of items: "))
         S = int(input("Enter the size of the knapsack: "))
         print("Enter the item and its value in pairs: ")
         knapsack = Knapsack(N, S)
         item = Item(0, 0)
         for n in range(N):
             weight, value = input("Pair" + str(n + 1) + ":").split()
             item = Item(weight, value)
             knapsack.items.append(item)
         self.knapsacks.append(knapsack)
Beispiel #15
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def generateInstances():
    '''
    Generate instances from prompt.
    '''
    knapsacks = list()
    # list of threads for writing to files
    writing = list()

    index = 1
    another = True
    while another:
        print('\n  === {}° instance ==='.format(index))
        answers = prompt(createInstanceQuestions())

        k = Knapsack.random(answers['n'], answers['min w'], answers['max w'],
                            answers['min v'], answers['max v'], answers['p'])
        knapsacks.append(k)

        # new thread's name
        name = 'w%d' % index
        # new thread to write last instance and start it
        write = Thread(target=knapsacks[-1].toFile, name=name)
        write.start()
        writing.append(write)

        another = confirm('Do you want to add another instance?').ask()
        index += 1

    heuristics = validateChoices('heuristic')

    save_str = '  Saving instances to files...'
    size = len(writing)
    while size:
        # loop over threads list
        for write, k in zip(writing, knapsacks):
            index = int(write.name[-1])
            # if a thread is still running
            if write.is_alive():
                print('%s\r' % save_str, end='')
                continue
            else:
                # wait until the thread finishes
                write.join()
                print('%s\r' % (' ' * len(save_str)), end='')
                solveInstance(k, index, heuristics)
                size -= 1
    print('\n All instances have been saved to files.')
Beispiel #16
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def buildKnapsacks(commandSets):
    """ The buildKnapsacks function takes a 2d array of sets of commands to execute and runs through the array interpreting the commands.

        Args: commandSets A list of the sets of commands to execute for the problem.

    The builder first goes through the commands and splits them into spice and knapsack commands, it then makes them more easily interpreted, and finally it iterates through each set of commands and carries out their instructions.

    """
    spiceCommands = []
    knapsackCommands = []
    commentCount = 0
    spiceCount = 0
    knapsackCount = 0

    commandSet = []

    spices = []
    knapsacks = []


    for commandSet in commandSets:
        for command in commandSet:
            if command[0] == '--':
                continue
            elif command[0] == 'spice':
                spiceCommands.append(
                ['spice', command[3][:-1], float(command[6][:-1]), float(command[9][:-1])])
            elif command[0] == 'knapsack':
                knapsackCommands.append(['knapsack', float(command[3][:-1])])

    print("Spice commands:", len(spiceCommands))
    print("Knapsack commands:", len(knapsackCommands), '\n')

    for command in spiceCommands:
        if command[0] == 'spice':
            spices.append(Spice(command[1], command[2], command[3]))

    for command in knapsackCommands:
        if command[0] == 'knapsack':
            knapsacks.append(Knapsack(command[1]))

    spices.sort(key=lambda spice: spice.price, reverse=True)

    return spices, knapsacks
Beispiel #17
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def pickItems(knapsack: Knapsack, heuristic):
    '''
    Use the heuristic specified in the argument to get a solution for the knapsack problem.

    Returns a generator containing the items that were picked.
    '''
    items_sorted = knapsack.sortItems(heuristic)
    W = knapsack.capacity
    for item in items_sorted:
        weight = item.weight
        if weight <= W:
            # add item to generator
            yield item
            W -= weight
            # if no more items fit in the knapsack
            if W == 0:
                break
        # if heuristic by weight is used, the rest of the items won't fit
        elif heuristic == 2:
            break
Beispiel #18
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    def test_knapsack(self):
        # Problems to test
        problems = [
            'dynamic', 'bipercube', 'hypercube2', 'hypercube4', 'hypercube6',
            'hypercube8'
        ]
        naive = 0
        dynamic = 0
        parallel = 0
        bipercube = 0
        hypercube2 = 0
        hypercube4 = 0
        hypercube6 = 0
        hypercube8 = 0

        # Variables
        capacity = 100
        elementCount = 100
        profitsRange = 100
        weigthsRange = 100

        values = []
        weigths = []

        # Construct the Knapsack
        for i in range(elementCount):
            values.append(random.randint(1, profitsRange))
            weigths.append(random.randint(1, weigthsRange))

        knap = Knapsack(capacity, weigths, values)

        # Resolve

        # Dynamic
        start = time.time()
        dynamic = knap.dynamic()
        end = time.time()

        print "Dynamic time: " + str(end - start)

        # Naive
        if 'naive' in problems:
            start = time.time()
            naive = knap.naive()
            end = time.time()

            print "Naive time: " + str(end - start)

        # Parallel
        if 'parallel' in problems:
            start = time.time()
            parallel = knap.parallel()
            end = time.time()

            print "Parallel time: " + str(end - start)

        # Bipercube
        if 'bipercube' in problems:
            start = time.time()
            bipercube = knap.bipercube()
            end = time.time()

            print "Bipercube time: " + str(end - start)

        # Hypercube

        # 2 Processors
        if 'hypercube2' in problems:
            start = time.time()
            hypercube2 = knap.hypercube(2)
            end = time.time()

            print "Hypercube 2 time: " + str(end - start)

        # 4 Processors
        if 'hypercube4' in problems:
            start = time.time()
            hypercube4 = knap.hypercube(4)
            end = time.time()

            print "Hypercube 4 time: " + str(end - start)

        # 6 Processors
        if 'hypercube6' in problems:
            start = time.time()
            hypercube6 = knap.hypercube(6)
            end = time.time()

            print "Hypercube 6 time: " + str(end - start)

        # 8 Processors
        if 'hypercube8' in problems:
            start = time.time()
            hypercube8 = knap.hypercube(8)
            end = time.time()

            print "Hypercube 8 time: " + str(end - start)

        # Results

        # Naive
        if 'naive' in problems:
            self.assertEqual(naive, dynamic)

        # Parallel
        if 'parallel' in problems:
            self.assertEqual(parallel, dynamic)

        # Bipercube
        if 'bipercube' in problems:
            self.assertEqual(bipercube, dynamic)

        # 2 Processors
        if 'hypercube2' in problems:
            self.assertEqual(hypercube2, dynamic)

        # 4 Processors
        if 'hypercube4' in problems:
            self.assertEqual(hypercube4, dynamic)

        # 6 Processors
        if 'hypercube6' in problems:
            self.assertEqual(hypercube6, dynamic)

        # 8 Processors
        if 'hypercube8' in problems:
            self.assertEqual(hypercube8, dynamic)
Beispiel #19
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from knapsack import Curve, Knapsack

if __name__ == '__main__':

    # initializing solver (Knapsack class) instance with maximum money for all media
    budget = Knapsack(70874156)
    # maximal budget for every media
    maxb = 70 * 10**6

    # initializing media as Curve instances
    # every Curve is some media like TV, OOH, etc.
    media1 = Curve(397650, 0.5085217, 0.92, 9.168728e-06 / 87.98509)
    media2 = Curve(1336580, 0.941772, 0.9964167, 7.202334e-07)
    media3 = Curve(5.509022, 5000, 0.99, 0.0002982394 / 219)
    media4 = Curve(3191.663, 10000, 0.75, 0.001353697 / 65)
    media5 = Curve(237349.3, 0.9954354, 0.7, 9.501362e-06 / 12.47645)
    media6 = Curve(2961.2209, 100, 0.5, 0.003669801 / 87.98509)
    media7 = Curve(664196.7, 0.662257, 0.92, 1.275716e-06 / 87.98509)

    # adding media to budget
    # in second argument we pass minimum and maximum allowed for media
    budget.add_curve(media1, 10600000, maxb)
    budget.add_curve(media2, 5700000, maxb)
    budget.add_curve(media3, 1923077, maxb)
    budget.add_curve(media4, 8307692, maxb)
    budget.add_curve(media5, 3246154, maxb)
    budget.add_curve(media6, 9791667, maxb)
    budget.add_curve(media7, 15786389, maxb)

    # call to optimize spends between media
    # last line represents optimal budget for every media, e.g. first number
from knapsack import Knapsack
from extract_objects import Objects

if (__name__ == '__main__'):
    total_individual = 400
    total_chromossomes = 20
    total_generation = 800
    mutation_rate = 0.1
    crossover_rate = 0.9
    elite = 20
    pack_weight_limit = 400
    objects = Objects()

    knapsack = Knapsack(total_individual, total_chromossomes, total_generation,
                        mutation_rate, crossover_rate, elite,
                        pack_weight_limit, objects)
    knapsack.start()
Beispiel #21
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 def test_input_processes_and_returns_list_succeeds(self):
     res = Knapsack.process_input_data(self.input_data)
     self.assertEqual(res, [7, [2, 3, 4, 5], [3, 4, 5, 5]])
Beispiel #22
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 def test_input_raises_value_error_if_wrong_input(self):
     self.input_data[2] = '3 4 5'
     with self.assertRaises(ValueError) as e:
         Knapsack.process_input_data(self.input_data)
     self.assertTrue(Knapsack._DATA_INPUT_ERROR in str(e.exception))
Beispiel #23
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                        default='result.json',
                        type=str,
                        help='Set the output filename(json).')
    args = parser.parse_args()
    # Check argument by standard output
    print(args)

    # Set arguments to variables
    filename = args.filename
    crossover_prob = args.crossover_prob
    mutation_prob = args.mutation_prob
    popSize = args.population_size
    generation = args.generation

    # Dataset read and parsing
    knapsack = Knapsack(filename)
    knapsack.reader()
    gene_size = len(knapsack.dataset)

    # Generate each GA instance
    roulette = GeneticAlgorithm(gene_size, popSize, crossover_prob,
                                mutation_prob)
    tournament = GeneticAlgorithm(gene_size, popSize, crossover_prob,
                                  mutation_prob)

    # Roulette Wheel selection GA Initialization
    print('Roulette', end=' ')
    roulette.initialization()
    roulette.calculateFitness(knapsack)
    # Tournament selection GA Initialization
    print('Tournament', end=' ')
Beispiel #24
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 def test_input_raises_value_error_if_wrong_input_type(self):
     self.input_data[1] = '3 4 5 A'
     with self.assertRaises(ValueError) as e:
         Knapsack.process_input_data(self.input_data)
     self.assertTrue('invalid literal' in str(e.exception))
Beispiel #25
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 def setUp(self):
     self.weight_available = 7
     weight_per_item = [2, 3, 4, 5]
     value_per_item = [3, 4, 5, 5]
     self.input_data = ['7', '2 3 4 5', '3 4 5 5']
     self.obj = Knapsack(self.weight_available, weight_per_item, value_per_item)
Beispiel #26
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def main():
    knapsack = Knapsack("./ks_1000.dat")

    # Hill-climbing best improvement
    iterations = [
        (100, 64),
        (500, 32),
        (1_000, 16),
        (5_000, 8),
        (10_000, 4),
        (50_000, 2),
        (100_000, 1),
    ]
    average_score = [0]
    average_evaluations = [0]
    for iters, repeats in iterations:
        print(
            f"Testing hill-climbing best improvement {repeats} time(s) with {iters} iterations."
        )
        total_score = 0
        total_eval = 0
        for _ in range(repeats):
            score, evaluations = hc_best(knapsack, iters)
            total_score += score
            total_eval += evaluations
        average_score.append(total_score / repeats)
        average_evaluations.append(total_eval / repeats)

    plt.plot(average_evaluations,
             average_score,
             label="Hill-climbing best improvement")

    # Hill-climbing first improvement
    iterations = [
        (100, 64),
        (500, 32),
        (1_000, 16),
        (5_000, 8),
        (10_000, 4),
        (50_000, 2),
        (100_000, 1),
    ]
    average_score = [0]
    average_evaluations = [0]
    for iters, repeats in iterations:
        print(
            f"Testing hill-climbing first improvement {repeats} time(s) with {iters} iterations."
        )
        total_score = 0
        total_eval = 0
        for _ in range(repeats):
            score, evaluations = hc_first(knapsack, iters)
            total_score += score
            total_eval += evaluations
        average_score.append(total_score / repeats)
        average_evaluations.append(total_eval / repeats)

    plt.plot(average_evaluations,
             average_score,
             label="Hill-climbing first improvement")

    # print(score, evals)
    # score, evals = recuit_simule(knapsack)

    # Evolution
    iterations = [(100, 50), (500, 10), (1_000, 5), (5_000, 1), (10_000, 1)]
    average_score = [0]
    average_evaluations = [0]
    for iters, repeats in iterations:
        print(f"Testing evolution {repeats} time(s) with {iters} iterations.")
        total_score = 0
        total_eval = 0
        for _ in range(repeats):
            pop = Population(10, knapsack)
            evaluations, score = pop.run(iters)
            total_score += score
            total_eval += evaluations
        average_score.append(total_score / repeats)
        average_evaluations.append(total_eval / repeats)

    plt.plot(average_evaluations, average_score, label="Evolution mu=10")

    plt.grid()
    plt.xlabel("Evaluations")
    plt.ylabel("Average performance")
    plt.figlegend()
    plt.show()
Beispiel #27
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from knapsack import Knapsack
import time
import sys
sys.setrecursionlimit(10000)
knapsack = Knapsack()
startTime = time.time()
result = knapsack.findOptimum(knapsack.itemCount, knapsack.knapCapacity)
print(time.strftime("%H:%M:%S", time.gmtime(time.time() - startTime)))
print(result)
Beispiel #28
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@author: josep
"""
from Pair import Pair
from knapsack import Knapsack as Knapsack


pair1=Pair(4,1)
pair2=Pair(7,7)
pair3=Pair(1,22)
pair4=Pair(2,23)
pair5=Pair(3,6)

items=[]
items.extend([pair1,pair2,pair3,pair4,pair5])
knapsackObject=Knapsack(14,5,items)

#print(knapsackObject.algorithm().fitness)


filePath = "input_example.txt"
f = open("result.txt", "a")

with open(filePath, "r") as file:
    text = file.read()

testCases = text.split("\n\n")

start=1
while start <= int(testCases[0]):
    case = testCases[start].strip().split("\n")
 def __init__(self, knapsacks):
   self.knapsacks = [Knapsack(knapsack) for knapsack in knapsacks]
Beispiel #30
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def knapsackPage():
    x = Knapsack(6, 1000)
    return render_template('knapsack.html', maxRevenue=x.getMaxRevenue(), totalBudget=x.getBudget(), observations=x.getObs(), Title="Knapsack Problem", GitHubLink="https://github.com/deacons2016/SimulationModels/blob/master/Exam2/Problem4/index.py")
Beispiel #31
0
    def test_knapsack(self):
        # Initial variables
        naive = 0
        dynamic = 0
        parallel = 0
        bipercube = 0
        hypercube2 = 0
        hypercube4 = 0
        hypercube6 = 0
        hypercube8 = 0

        # Problems to test
        problems = [
            'dynamic', 'hypercube2', 'hypercube4', 'hypercube6', 'hypercube8'
        ]

        # File
        out = open("out.csv", 'w')  # csv output
        out.write("Capacidad" + "\t" + "Elementos" + "\t" + "Naive" + "\t" +
                  "Programacion dinamica" + "\t" + "2 procesadores" + "\t" +
                  "4 procesadores" + "\t" + "6 procesadores" + "\t" +
                  "8 procesadores" + "\t" + "Peters and Rudolph" + "\t" + "\n")

        capacities = [100, 1000]
        elements = [100, 1000]

        for capacity in capacities:
            for element in elements:
                print
                print 'Capacity', capacity
                print 'Elements', element
                # Times
                naiveTime = '-'
                dynamicTime = '-'
                hypercube2Time = '-'
                hypercube4Time = '-'
                hypercube6Time = '-'
                hypercube8Time = '-'
                parallelTime = '-'

                # Variables
                values = []
                weigths = []

                # Construct the Knapsack
                for i in range(element):
                    values.append(random.randint(1, int(element / 2)))
                    weigths.append(random.randint(1, int(element / 2)))

                knap = Knapsack(capacity, weigths, values)

                # Resolve

                # Dynamic
                if 'dynamic' in problems:
                    start = time.time()
                    dynamic = knap.dynamic()
                    end = time.time()

                    dynamicTime = str(end - start)
                    print "Dynamic time: " + str(end - start)

                # Naive
                if 'naive' in problems:
                    start = time.time()
                    naive = knap.naive()
                    end = time.time()

                    naiveTime = str(end - start)
                    print "Naive time: " + str(end - start)

                # Parallel
                if 'parallel' in problems:
                    start = time.time()
                    parallel = knap.parallel()
                    end = time.time()

                    parallel = str(end - start)
                    print "Parallel time: " + str(end - start)

                # Bipercube
                if 'bipercube' in problems:
                    start = time.time()
                    bipercube = knap.bipercube()
                    end = time.time()

                    print "Bipercube time: " + str(end - start)

                # Hypercube

                # 2 Processors
                if 'hypercube2' in problems:
                    start = time.time()
                    hypercube2 = knap.hypercube(2)
                    end = time.time()

                    hypercube2Time = str(end - start)
                    print "Hypercube 2 time: " + str(end - start)

                # 4 Processors
                if 'hypercube4' in problems:
                    start = time.time()
                    hypercube4 = knap.hypercube(4)
                    end = time.time()

                    hypercube4Time = str(end - start)
                    print "Hypercube 4 time: " + str(end - start)

                # 6 Processors
                if 'hypercube6' in problems:
                    start = time.time()
                    hypercube6 = knap.hypercube(6)
                    end = time.time()

                    hypercube6Time = str(end - start)
                    print "Hypercube 6 time: " + str(end - start)

                # 8 Processors
                if 'hypercube8' in problems:
                    start = time.time()
                    hypercube8 = knap.hypercube(8)
                    end = time.time()

                    hypercube8Time = str(end - start)
                    print "Hypercube 8 time: " + str(end - start)

                # File
                out.write(
                    str(capacity) + "\t" + str(element) + "\t" +
                    str(naiveTime) + "\t" + str(dynamicTime) + "\t" +
                    str(hypercube2Time) + "\t" + str(hypercube4Time) + "\t" +
                    str(hypercube6Time) + "\t" + str(hypercube8Time) + "\t" +
                    str(parallelTime) + "\t")
                out.write("\n")