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Example of pyoframe and pyoptinterface
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import pandas as pd | |
import numpy as np | |
import time | |
from pyoframe import Model, Variable, sum | |
import gurobipy as gp | |
import pyoptinterface as poi | |
from pyoptinterface import gurobi | |
np.random.seed(1234567) | |
def gen_input(Nplants, Nhouses): | |
plants = ( | |
pd.DataFrame( | |
dict( | |
plant=range(Nplants), | |
capacity=np.random.uniform(0.0, 100.0, Nplants), | |
fixed_cost=np.random.uniform(0.0, 100.0, Nplants), | |
) | |
) | |
.astype({"plant": "int64"}) | |
.set_index("plant") | |
) | |
wharehouses = ( | |
pd.DataFrame( | |
dict( | |
wharehouse=range(Nhouses), | |
demand=np.random.uniform(0.0, 100.0, Nhouses), | |
) | |
) | |
.astype({"wharehouse": "int64"}) | |
.set_index("wharehouse") | |
) | |
transport_costs = ( | |
pd.DataFrame( | |
dict( | |
wharehouse=np.repeat(range(Nhouses), Nplants), | |
# 0...0(Nhouses) 1...1 (Nhouses) ... (Nplants-1)...(Nplants-1) (Nhouses) | |
# use numpy | |
plant=np.tile(range(Nplants), Nhouses), | |
cost=np.random.uniform(0.0, 100.0, Nhouses * Nplants), | |
) | |
) | |
.astype({"plant": "int64", "wharehouse": "int64"}) | |
.set_index(["wharehouse", "plant"])["cost"] | |
) | |
transport_costs_numpy = transport_costs.to_numpy().reshape(Nhouses, Nplants) | |
return plants, wharehouses, transport_costs, transport_costs_numpy | |
def pyoframe_main(plants, warehouses, transport_costs): | |
t0 = time.time() | |
m = Model("min") | |
m.open = Variable(plants.index, vtype="binary") | |
m.transport = Variable(warehouses.index, plants.index, lb=0) | |
m.con_max_capacity = sum("wharehouse", m.transport) <= plants.capacity * m.open | |
m.con_meet_demand = sum("plant", m.transport) == warehouses.demand | |
m.objective = sum(m.open * plants.fixed_cost) + sum(m.transport * transport_costs) | |
t1 = time.time() | |
print(f"Pyoframe model time: {t1-t0:.2f} seconds") | |
m.params.Method = 2 | |
m.to_file("model.lp", use_var_names=True) | |
t2 = time.time() | |
print(f"Pyoframe write to file time: {t2-t1:.2f} seconds") | |
gm = gp.read("model.lp") | |
t3 = time.time() | |
print(f"Pyoframe read back time: {t3-t2:.2f} seconds") | |
t1 = time.time() | |
print(f"Pyoframe elapsed time: {t1-t0:.2f} seconds") | |
return m | |
def add_ndarray_variable(m, shape, **kwargs): | |
array = np.empty(shape, dtype=object) | |
array_flat = array.flat | |
for i in range(array.size): | |
array_flat[i] = m.add_variable(**kwargs) | |
return array | |
def poi_main(plants, warehouses, transport_costs_numpy): | |
demand = warehouses["demand"].values | |
capacity = plants["capacity"].values | |
fixedCosts = plants["fixed_cost"].values | |
plants = range(len(capacity)) | |
warehouses = range(len(demand)) | |
t0 = time.time() | |
m = gurobi.Model() | |
open = add_ndarray_variable(m, len(plants), domain=poi.VariableDomain.Binary) | |
transport = add_ndarray_variable(m, (len(warehouses), len(plants)), lb=0) | |
for p in plants: | |
expr = poi.quicksum(transport[:, p]) | |
expr -= capacity[p] * open[p] | |
m.add_linear_constraint(expr, poi.Leq, 0.0) | |
for w in warehouses: | |
expr = poi.quicksum(transport[w]) | |
expr -= demand[w] | |
m.add_linear_constraint(expr, poi.Eq, 0.0) | |
obj = poi.ExprBuilder() | |
for p in plants: | |
obj += open[p] * fixedCosts[p] | |
for c, t in zip(transport_costs_numpy.flat, transport.flat): | |
obj += t * c | |
m.set_objective(obj) | |
t1 = time.time() | |
print(f"POI elapsed time: {t1-t0:.2f} seconds") | |
return m | |
if __name__ == "__main__": | |
plants, warehouses, transport_costs, transport_costs_numpy = gen_input(3000, 3000) | |
pyoframe_main(plants, warehouses, transport_costs) | |
poi_main(plants, warehouses, transport_costs_numpy) |
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