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model.py
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import gurobipy as gp
from gurobipy import GRB, Model, quicksum # type: ignore
import sys
import os
import numpy as np
import pdb
import itertools
import pandas as pd
from solution_validation import *
from plot_gantt import *
import json
from time import time
from objective import *
from colors import *
from utils import *
from instance import *
import warnings
warnings.filterwarnings('ignore')
if __name__ == "__main__":
save_output = True
save_temp = False
log_console = False
testing = False
disable_setup = False
read_heuristic_solution = False
time_limit_minutes = 60
mip_focus = 0
integrality_focus = 1
instances_path = './instances/json/realworld/'
heuristic_solution_path = './instances/mdb/realworld/'
results_name = './results/'
if testing:
results_name = './results-test/' + results_name
print("Reading instances")
all_instances = [Instance.from_json(instances_path, file.split('.')[0]) for file in os.listdir(instances_path)]
# all_instances = list(filter(lambda x: x.name == "PlasticInjection", all_instances))
running_list = list(itertools.product(all_instances, [obj for obj in Objective]))
for idx, (instance, objective) in enumerate(running_list):
start_time = time()
instance_name = instance.name + '_' + objective.value
# Create empty model
model = Model("JobShopModel")
model.params.Seed = 1
# model.params.OutputFlag = 0 # 0 to disable output
model.params.LogToConsole = int(log_console) # 0 to disable console output
# model.params.IntFeasTol = 1e-9
model.params.MIPFocus = mip_focus # 0 - automatic | 1 - for feasible solutions | 2 - for optimality | 3 - for bound
model.params.IntegralityFocus = integrality_focus # 0 - off | 1 - on
model.params.TimeLimit = time_limit_minutes*60 # to seconds
# model.params.Presolve=2
# model.params.Cuts=3 # 0 to 3, higher values, more aggressive cuts are made
# model.params.PreSparsify=2
# model.params.Symmetry=2
# model.params.NoRelHeurTime=300
# model.params.Heuristics=0.3
# results_name = f'results-{time_limit}s-mipfocus{mip_focus}-integralityfocus{integrality_focus}'
create_paths(results_name)
summary_path = f"{results_name}/csv/log/summary_results.csv"
instance.M = 10*max(max(instance.proc_times), max(instance.setup_times))
print(f"Instance {idx+1}/{len(running_list)}: {instance_name}")
# Create variables
print(" Creating variables and constraints")
y = model.addVars([(j,l,i) for j in range(instance.n) for l in range(instance.L[j]) for i in set(instance.R[j][l])],
vtype=GRB.BINARY, name='y')
x = model.addVars([(j,l,h,k) for j in range(instance.n) for l in range(instance.L[j]) for h in range(instance.n) for k in range(instance.L[h])],
vtype=GRB.BINARY, name='x')
s = model.addVars([(j,l,i) for j in range(instance.n) for l in range(instance.L[j]) for i in set(instance.R[j][l])],
vtype=GRB.CONTINUOUS, name='s')
if read_heuristic_solution:
# read initial solution
instance.read_heuristic_solution(heuristic_solution_path)
if len(instance.A) > 0:
for j in instance.A:
if len(instance.A[j]) > 0:
for l in instance.A[j]:
if len(instance.A[j][l]) > 0:
for i in instance.A[j][l]:
y[j,l,i].Start = 1
s[j,l,i].Start = instance.A[j][l][i]
if disable_setup:
for j in instance.O:
for l in instance.O[j]:
for h in instance.O[j][l]:
for k in instance.O[j][l][h]:
for i in instance.O[j][l][h][k]:
instance.O[j][l][h][k][i] = 0
#### MATHEMATICAL MODEL ####
# Objective function
Z = model.addVar(vtype=GRB.INTEGER, name="Z_FO")
match objective:
case Objective.MAKESPAN:
# EQUATIONS .1
model.addConstr(Z >= quicksum(s[j,l,i] + instance.P[j][l][i]*y[j,l,i] for j in range(instance.n) for l in range(instance.L[j]) for i in set(instance.R[j][l]) if len(instance.U[j][l])==0), name="OF_constraint")
case Objective.DEADLINE:
b = model.addVars([(j,l,i) for j in range(instance.n) for l in range(instance.L[j]) for i in set(instance.R[j][l]) if len(instance.U[j][l])==0], vtype=GRB.BINARY)
# EQUATIONS .12
model.addConstr(Z >= quicksum((s[j,l,i] + instance.P[j][l][i] - instance.D[j])*b[j,l,i] for j in range(instance.n) for l in range(instance.L[j]) for i in set(instance.R[j][l]) if len(instance.U[j][l])==0), name="OF_constraint")
for j in range(instance.n):
for l in range(instance.L[j]):
if len(instance.U[j][l])==0:
for i in set(instance.R[j][l]):
# EQUATIONS .13
model.addConstr(s[j,l,i] + instance.P[j][l][i]*y[j,l,i] >= instance.D[j] - instance.M * (1 - b[j,l,i]), name="auxiliaryOF_constraint")
# EQUATIONS .14
model.addConstr(s[j,l,i] + instance.P[j][l][i]*y[j,l,i] <= instance.D[j] + instance.M * b[j,l,i], name="auxiliaryOF_constraint")
case _:
raise ValueError("Objective not defined")
for j in range(instance.n):
for l in range(instance.L[j]):
for i in set(instance.R[j][l]):
if len(instance.U[j][l])==0:
# EQUATIONS .15
model.addConstr(b[j,l,i] >= 0)
model.setObjective(Z, GRB.MINIMIZE)
for j in range(instance.n):
for l in range(instance.L[j]):
# constraint 1
# EQUATIONS .2
model.addConstr(quicksum(y[j,l,i] for i in set(instance.R[j][l])) == 1, name=f"assignment_job{j}_stage{l}_constraint")
for j in range(instance.n):
for l in range(instance.L[j]):
for i in set(instance.R[j][l]):
# EQUATIONS .3
model.addConstr(s[j,l,i] <= instance.M * y[j,l,i], name=f"start_time_job{j}_stage{l}_machine{i}_constraint1")
for j in range(instance.n):
for l in range(instance.L[j]):
for h in instance.U[j][l]:
# EQUATIONS .4
model.addConstr(quicksum(s[j,h,i1] for i1 in set(instance.R[j][h])) >= quicksum(s[j,l,i2] + instance.P[j][l][i2]*y[j,l,i2] for i2 in set(instance.R[j][l])))
for j in range(instance.n):
for l in range(instance.L[j]):
for h in range(j, instance.n):
for k in range(instance.L[h]):
for i in list(set(instance.R[j][l]) & set(instance.R[h][k])):
if j == h and l == k:
continue
# EQUATIONS .5
model.addConstr(s[h,k,i] >= (s[j,l,i] + instance.P[j][l][i] + instance.O[j][l][h][k][i] - instance.M*(x[j,l,h,k] + 2 - y[h,k,i] - y[j,l,i])), name=f"precedence between {j},{l} to {h},{k} if x_[{j},{l},{h},{k},{i}]=0, i.e. {h},{k} before {j},{l}")
# EQUATIONS .6
model.addConstr(s[j,l,i] >= (s[h,k,i] + instance.P[h][k][i] + instance.O[h][k][j][l][i] - instance.M*(3 - x[j,l,h,k] - y[h,k,i] - y[j,l,i])), name=f"precedence between {h},{k} to {j},{l} if x_[{j},{l},{h},{k},{i}]=1, i.e. {j},{l} before {h},{k}")
# (POSITIVE) START CONSTRAINT
for j in range(instance.n):
for l in range(instance.L[j]):
for i in set(instance.R[j][l]):
# EQUATIONS .7
if isinstance(instance.Q[j], dict) and l in instance.Q[j]:
model.addConstr(s[j,l,i] >= instance.Q[j][l]*y[j,l,i], name=f"initial_start_time_job{j}_stage0_machine{i}_constraint")
elif isinstance(instance.Q[j], int) or isinstance(instance.Q[j], float) and instance.Q[j] >= 0:
# EQUATIONS .7
model.addConstr(s[j,l,i] >= instance.Q[j]*y[j,l,i], name=f"initial_start_time_job{j}_stage0_machine{i}_constraint")
# EQUATIONS .8
model.addConstr(s[j,l,i] >= 0, name=f"start_time_domain_job{j}_stage{l}_machine{i}_constraint")
#### END OF MATHEMATICAL MODEL ####
if save_output:
with open(f"{results_name}/log/{instance_name}.log", "w") as f:
model.params.LogFile = f"{results_name}/log/{instance_name}.log"
print(" Optimizing model")
model.optimize()
if save_output:
model.write(f"{results_name}/lp/{instance_name}.lp")
model.write(f"{results_name}/mps/{instance_name}.mps")
model.write(f"{results_name}/json/{instance_name}.json")
if model.status != GRB.Status.INFEASIBLE and model.status != GRB.Status.INF_OR_UNBD:
msg = f" {bcolors.blueback} Optimal Solution found{bcolors.end}"
match model.status:
case GRB.Status.OPTIMAL:
msg = f" {bcolors.blueback}Optimal Solution found{bcolors.end}"
case GRB.Status.TIME_LIMIT:
msg = f" {bcolors.orangeback}Optimal Solution NOT found{bcolors.end}"
case GRB.Status.SUBOPTIMAL:
msg = f" {bcolors.orangeback}Suboptimal Solution found{bcolors.end}"
case GRB.Status.INFEASIBLE:
msg = f" {bcolors.redback}Infeasible Solution found{bcolors.end}"
print(msg)
vars_list = []
for v in model.getVars():
try:
d= dict(name=v.varName, value=v.x)
vars_list.append(d)
except:
pass
vars = pd.DataFrame(vars_list).sort_values(by=['name'], ascending=True)
timestamp_list = []
date_start = pd.Timestamp('2023-01-01 00:00:00')
for j in range(instance.n):
for l in range(instance.L[j]):
for i in set(instance.R[j][l]):
if y[j,l,i].x == 1:
# if instance.U[j] != -1:
# job = j
# else:
# job = instance.U[j]
d = dict(Job=f"{j}", Op=l, Start=date_start+pd.Timedelta(f"{int(s[j,l,i].x)} minutes"), Finish=date_start+ pd.Timedelta(f"{s[j,l,i].x + instance.P[j][l][i]} minutes"), Start_f=s[j,l,i].x, Finish_f=s[j,l,i].x + instance.P[j][l][i], Resource=f"Machine {str(i).rjust(2,'0')}")
timestamp_list.append(d)
timestamp = pd.DataFrame(timestamp_list)
summary = pd.DataFrame([{'instance': instance_name, 'status': model.status, 'obj': model.objVal, 'model time (s)': model.Runtime, 'total time (s)': time() - start_time, 'gap': model.MIPGap}])
if save_output:
# save timestamp
timestamp.to_csv(f"{results_name}/csv/timestamp/{instance_name}_timestamp.csv", index=False, sep=';')
# save summary
summary.to_csv(summary_path, mode='a', header= not os.path.exists(summary_path))
# save gantt chart
plot_gantt(timestamp, instance_name, f'{results_name}/fig')
# save vars
vars.to_csv(f"{results_name}/csv/vars/{instance_name}_vars.csv", index=False, sep=";")
# save solution
model.write(f"{results_name}/sol/{instance_name}.sol")
# save rlp
model.write(f"{results_name}/rlp/{instance_name}.rlp")
if log_console:
print(f"Objective function found for instance {instance_name}: {Z.x}")
if save_temp:
plot_gantt(timestamp, instance_name, '{results_name}/temp')
timestamp.to_csv(f"{results_name}/csv/timestamp/{instance_name}_timestamp.csv", index=False, sep=';')
validation = validate_solution(instance, timestamp)
color = bcolors.greenback if validation else bcolors.redback
print(f" {color}Solution validated: {validation}{bcolors.end}")
else:
print(f" {bcolors.redback}No optimal solution found{bcolors.end}")
model.computeIIS()
model.write(f"{results_name}/ilp/{instance_name}_iis.ilp")