Optimization problem meta-heuristics solver for easy modeling.
$ pip install codableopt
# Master branch
$ git clone https://github.com/recruit-tech/codable-model-optimizer
$ python3 setup.py install
import numpy as np
from codableopt import *
# set problem
problem = Problem(is_max_problem=True)
# define variables
x = IntVariable(name='x', lower=np.double(0), upper=np.double(5))
y = DoubleVariable(name='y', lower=np.double(0.0), upper=None)
z = CategoryVariable(name='z', categories=['a', 'b', 'c'])
# define objective function
def objective_function(var_x, var_y, var_z, parameters):
obj_value = parameters['coef_x'] * var_x + parameters['coef_y'] * var_y
if var_z == 'a':
obj_value += 10.0
elif var_z == 'b':
obj_value += 8.0
else:
# var_z == 'c'
obj_value -= 3.0
return obj_value
# set objective function and its arguments
problem += Objective(objective=objective_function,
args_map={'var_x': x,
'var_y': y,
'var_z': z,
'parameters': {'coef_x': -3.0, 'coef_y': 4.0}})
# define constraint
problem += 2 * x + 4 * y + 2 * (z == 'a') + 3 * (z == ('b', 'c')) <= 8
problem += 2 * x - y + 2 * (z == 'b') > 3
print(problem)
solver = OptSolver()
# generate optimization methods to be used within the solver
method = PenaltyAdjustmentMethod(steps=40000)
answer, is_feasible = solver.solve(problem, method)
print(f'answer:{answer}, answer_is_feasible:{is_feasible}')
import random
from itertools import combinations
from codableopt import Problem, Objective, CategoryVariable, OptSolver, PenaltyAdjustmentMethod
# define distance generating function
def generate_distances(args_place_names):
generated_distances = {}
for point_to_point in combinations(['start'] + args_place_names, 2):
distance_value = random.randint(20, 40)
generated_distances[point_to_point] = distance_value
generated_distances[tuple(reversed(point_to_point))] = distance_value
for x in ['start'] + args_place_names:
generated_distances[(x, x)] = 0
return generated_distances
# generate TSP problem
PLACE_NUM = 30
destination_names = [f'destination_{no}' for no in range(PLACE_NUM)]
place_names = [f'P{no}' for no in range(PLACE_NUM)]
distances = generate_distances(place_names)
destinations = [CategoryVariable(name=destination_name, categories=place_names)
for destination_name in destination_names]
# set problem
problem = Problem(is_max_problem=False)
# define objective function
def calc_distance(var_destinations, para_distances):
return sum([para_distances[(x, y)] for x, y in zip(
['start'] + var_destinations, var_destinations + ['start'])])
# set objective function and its arguments
problem += Objective(objective=calc_distance,
args_map={'var_destinations': destinations, 'para_distances': distances})
# define constraint
# constraint formula that always reaches all points at least once
for place_name in place_names:
problem += sum([(destination == place_name) for destination in destinations]) >= 1
# optimization implementation
solver = OptSolver(round_times=4, debug=True, debug_unit_step=1000)
method = PenaltyAdjustmentMethod(steps=10000, delta_to_update_penalty_rate=0.9)
answer, is_feasible = solver.solve(problem, method, n_jobs=-1)
print(f'answer_is_feasible:{is_feasible}')
root = ['start'] + [answer[root] for root in destination_names] + ['start']
print(f'root: {" -> ".join(root)}')