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Universal DRL model for CRMP: Train once, solve any instance instantly.
Train on thousands of random CRMP instances.
At inference: 5ms per new instance (vs GA's 1-2 seconds).
"""
import torch
import torch.nn as nn
import torch.nn.functional as F
import numpy as np
import time
from itertools import permutations
from crmp_env import (CRMPEnv, evaluate_sequence, simulate_crmp,
NUM_JOBS_A, NUM_JOBS_B, NUM_MACHINES_A, NUM_MACHINES_B,
LINE_A_PROC, LINE_B_PROC,
LINE_A_YIELD_GRAN, LINE_A_YIELD_STRIP,
LINE_B_DEMAND_GRAN, LINE_B_DEMAND_STRIP)
class UniversalAgent(nn.Module):
"""Larger model for generalization across instances."""
def __init__(self, obs_dim, hidden=256, latent=128):
super().__init__()
self.encoder = nn.Sequential(
nn.Linear(obs_dim, hidden), nn.ReLU(),
nn.Linear(hidden, hidden), nn.ReLU(),
nn.Linear(hidden, latent), nn.ReLU(),
)
self.policy_a = nn.Sequential(
nn.Linear(latent, 128), nn.ReLU(),
nn.Linear(128, NUM_JOBS_A + 1),
)
self.policy_b = nn.Sequential(
nn.Linear(latent, 128), nn.ReLU(),
nn.Linear(128, NUM_JOBS_B + 1),
)
self.value_head = nn.Sequential(
nn.Linear(latent, 128), nn.ReLU(),
nn.Linear(128, 1),
)
def forward(self, obs, mask_a=None, mask_b=None):
z = self.encoder(obs)
la = self.policy_a(z)
lb = self.policy_b(z)
if mask_a is not None:
la = la + (1 - mask_a) * (-1e8)
if mask_b is not None:
lb = lb + (1 - mask_b) * (-1e8)
return la, lb, self.value_head(z)
def generate_instance(rng, scale=(0.6, 1.4)):
"""Generate a random CRMP instance."""
lo, hi = scale
pa = np.maximum(LINE_A_PROC * rng.uniform(lo, hi, LINE_A_PROC.shape), 1.0)
pb = np.maximum(LINE_B_PROC * rng.uniform(lo, hi, LINE_B_PROC.shape), 1.0)
yg = np.maximum(LINE_A_YIELD_GRAN * rng.uniform(lo, hi, LINE_A_YIELD_GRAN.shape), 1.0)
ys = np.maximum(LINE_A_YIELD_STRIP * rng.uniform(lo, hi, LINE_A_YIELD_STRIP.shape), 1.0)
dg = LINE_B_DEMAND_GRAN * rng.uniform(lo, hi, LINE_B_DEMAND_GRAN.shape)
ds = LINE_B_DEMAND_STRIP * rng.uniform(lo, hi, LINE_B_DEMAND_STRIP.shape)
if dg.sum() > yg.sum() * 0.95:
dg *= (yg.sum() * 0.95) / dg.sum()
if ds.sum() > ys.sum() * 0.95:
ds *= (ys.sum() * 0.95) / ds.sum()
return pa, pb, yg, ys, dg, ds
def collect_episode(env, agent, device, deterministic=False):
obs = env.reset()
data = {'obs': [], 'mask_a': [], 'mask_b': [],
'act_a': [], 'act_b': [],
'logp_a': [], 'logp_b': [],
'values': [], 'rewards': [], 'dones': []}
done = False
while not done:
obs_t = torch.FloatTensor(obs).unsqueeze(0).to(device)
ma = torch.FloatTensor(env.get_mask_a()).unsqueeze(0).to(device)
mb = torch.FloatTensor(env.get_mask_b()).unsqueeze(0).to(device)
with torch.no_grad():
la, lb, val = agent(obs_t, ma, mb)
da = torch.distributions.Categorical(logits=la)
db = torch.distributions.Categorical(logits=lb)
if deterministic:
aa, ab = la.argmax(-1), lb.argmax(-1)
else:
aa, ab = da.sample(), db.sample()
data['obs'].append(obs)
data['mask_a'].append(ma.squeeze(0).cpu().numpy())
data['mask_b'].append(mb.squeeze(0).cpu().numpy())
data['act_a'].append(aa.item())
data['act_b'].append(ab.item())
data['logp_a'].append(da.log_prob(aa).item())
data['logp_b'].append(db.log_prob(ab).item())
data['values'].append(val.item())
obs, reward, done, info = env.step(aa.item(), ab.item())
data['rewards'].append(reward)
data['dones'].append(done)
return data, info
def compute_gae(rewards, values, dones, gamma=0.99, lam=0.95):
advantages, gae, nv = [], 0, 0
for t in reversed(range(len(rewards))):
if dones[t]: nv, gae = 0, 0
delta = rewards[t] + gamma * nv - values[t]
gae = delta + gamma * lam * gae
advantages.insert(0, gae)
nv = values[t]
returns = [a + v for a, v in zip(advantages, values)]
return returns, advantages
def sa_solve(pa, pb, yg, ys, dg, ds, n_starts=10, max_iter=20000, seed=42):
"""SA baseline for comparison."""
rng = np.random.default_rng(seed)
all_b = list(permutations(range(NUM_JOBS_B)))
results = []
t0 = time.time()
for s in range(n_starts):
ca = rng.permutation(NUM_JOBS_A).tolist()
cb = rng.permutation(NUM_JOBS_B).tolist()
cms = simulate_crmp(ca, cb, pa, pb, yg, ys, dg, ds)["makespan"]
ba, bb, bms = list(ca), list(cb), cms
T = 80.0
for i in range(max_iter):
r = rng.random()
na, nb = list(ca), list(cb)
if r < 0.4:
idx = rng.integers(len(na))
v = na.pop(idx); na.insert(rng.integers(len(na)+1), v)
elif r < 0.7:
i1, i2 = rng.choice(len(na), 2, replace=False)
na[i1], na[i2] = na[i2], na[i1]
else:
i1, i2 = rng.choice(len(nb), 2, replace=False)
nb[i1], nb[i2] = nb[i2], nb[i1]
nms = simulate_crmp(na, nb, pa, pb, yg, ys, dg, ds)["makespan"]
d = nms - cms
if d < 0 or rng.random() < np.exp(-d / max(T, 1e-10)):
ca, cb, cms = na, nb, nms
if cms < bms: ba, bb, bms = list(ca), list(cb), cms
T *= 0.9997
for perm in all_b:
ms = simulate_crmp(ba, list(perm), pa, pb, yg, ys, dg, ds)["makespan"]
if ms < bms: bms = ms
results.append(bms)
return {"best": min(results), "avg": np.mean(results),
"std": np.std(results), "cpu": time.time() - t0}
def train():
device = torch.device('cuda' if torch.cuda.is_available() else 'cpu')
print(f"Device: {device}")
if device.type == 'cuda':
print(f"GPU: {torch.cuda.get_device_name(0)}")
# Get obs_dim from a dummy env
dummy = CRMPEnv(stochastic=False)
obs = dummy.reset()
obs_dim = len(obs)
agent = UniversalAgent(obs_dim).to(device)
optimizer = torch.optim.Adam(agent.parameters(), lr=3e-4)
num_epochs = 300
eps_per_epoch = 128
ent_coeff = 0.1
rng = np.random.default_rng(42)
best_real = float('inf')
print(f"\n{'='*70}")
print(f"Universal DRL Training for CRMP")
print(f"Train on random instances, test on real + synthetic")
print(f"Epochs: {num_epochs}, Episodes/epoch: {eps_per_epoch}")
print(f"{'='*70}\n")
t0 = time.time()
for epoch in range(num_epochs):
batch_obs, batch_ma, batch_mb = [], [], []
batch_aa, batch_ab = [], []
batch_lpa, batch_lpb = [], []
batch_ret, batch_adv = [], []
epoch_ms = []
for _ in range(eps_per_epoch):
# 80% random instances, 20% real instance
if rng.random() < 0.8:
pa, pb, yg, ys, dg, ds = generate_instance(rng)
else:
pa, pb = LINE_A_PROC, LINE_B_PROC
yg, ys = LINE_A_YIELD_GRAN, LINE_A_YIELD_STRIP
dg, ds = LINE_B_DEMAND_GRAN, LINE_B_DEMAND_STRIP
env = CRMPEnv(stochastic=True, noise_std=0.02,
base_proc_a=pa, base_proc_b=pb,
base_yield_g=yg, base_yield_s=ys,
base_demand_g=dg, base_demand_s=ds)
data, info = collect_episode(env, agent, device)
ms = info.get('makespan') or 9999
epoch_ms.append(ms)
rets, advs = compute_gae(data['rewards'], data['values'], data['dones'])
batch_obs.extend(data['obs'])
batch_ma.extend(data['mask_a'])
batch_mb.extend(data['mask_b'])
batch_aa.extend(data['act_a'])
batch_ab.extend(data['act_b'])
batch_lpa.extend(data['logp_a'])
batch_lpb.extend(data['logp_b'])
batch_ret.extend(rets)
batch_adv.extend(advs)
# PPO update
obs_t = torch.FloatTensor(np.array(batch_obs)).to(device)
ma_t = torch.FloatTensor(np.array(batch_ma)).to(device)
mb_t = torch.FloatTensor(np.array(batch_mb)).to(device)
aa_t = torch.LongTensor(batch_aa).to(device)
ab_t = torch.LongTensor(batch_ab).to(device)
old_lpa = torch.FloatTensor(batch_lpa).to(device)
old_lpb = torch.FloatTensor(batch_lpb).to(device)
ret_t = torch.FloatTensor(batch_ret).to(device)
adv_t = torch.FloatTensor(batch_adv).to(device)
adv_t = (adv_t - adv_t.mean()) / (adv_t.std() + 1e-8)
n = len(batch_obs)
bs = min(512, n)
idx_all = np.arange(n)
for _ in range(6):
np.random.shuffle(idx_all)
for start in range(0, n, bs):
idx = idx_all[start:min(start+bs, n)]
la, lb, vals = agent(obs_t[idx], ma_t[idx], mb_t[idx])
da = torch.distributions.Categorical(logits=la)
db = torch.distributions.Categorical(logits=lb)
nlpa = da.log_prob(aa_t[idx])
nlpb = db.log_prob(ab_t[idx])
ratio = torch.exp((nlpa - old_lpa[idx]) + (nlpb - old_lpb[idx]))
s1 = ratio * adv_t[idx]
s2 = torch.clamp(ratio, 0.8, 1.2) * adv_t[idx]
ploss = -torch.min(s1, s2).mean()
vloss = F.mse_loss(vals.squeeze(), ret_t[idx])
ent = (da.entropy() + db.entropy()).mean()
loss = ploss + 0.5*vloss - ent_coeff*ent
optimizer.zero_grad()
loss.backward()
nn.utils.clip_grad_norm_(agent.parameters(), 0.5)
optimizer.step()
# LR schedule
lr = 3e-4 * max(0.05, 1 - epoch / num_epochs)
for pg in optimizer.param_groups: pg['lr'] = lr
if epoch > 100:
ent_coeff = max(0.01, ent_coeff * 0.997)
# Evaluate on real instance
if (epoch + 1) % 10 == 0 or epoch < 10:
real_env = CRMPEnv(stochastic=False)
_, ri = collect_episode(real_env, agent, device, deterministic=True)
real_ms = ri.get('makespan') or 9999
# Sample 100 from real
sample_best = real_ms
for _ in range(100):
se = CRMPEnv(stochastic=False)
_, si = collect_episode(se, agent, device, deterministic=False)
sms = si.get('makespan') or 9999
if sms < sample_best: sample_best = sms
if sample_best < best_real:
best_real = sample_best
torch.save(agent.state_dict(), 'universal_agent.pt')
elapsed = time.time() - t0
avg_ms = np.mean(epoch_ms)
marker = " <<<MATCH/BEAT GA>>>" if sample_best <= 1307 else ""
print(f"E{epoch+1:4d} | Real: det={real_ms:.0f} samp={sample_best:.0f} "
f"best={best_real:.0f} | Avg:{avg_ms:.0f} | {elapsed:.0f}s{marker}")
train_time = time.time() - t0
# ==================== EVALUATION ====================
print(f"\n{'='*70}")
print(f"EVALUATION (train time: {train_time:.0f}s)")
print(f"{'='*70}")
# Load best model
agent.load_state_dict(torch.load('universal_agent.pt', weights_only=True))
agent.eval()
# --- Real dataset (Table 5) ---
print("\n--- Table 5: Real Dataset ---")
# DRL: deterministic + sampling
real_env = CRMPEnv(stochastic=False)
_, ri = collect_episode(real_env, agent, device, deterministic=True)
drl_det = ri.get('makespan') or 9999
drl_samples = []
for _ in range(1000):
se = CRMPEnv(stochastic=False)
_, si = collect_episode(se, agent, device, deterministic=False)
drl_samples.append(si.get('makespan') or 9999)
# Inference speed
t1 = time.time()
for _ in range(1000):
ie = CRMPEnv(stochastic=False)
_, _ = collect_episode(ie, agent, device, deterministic=True)
infer_ms = (time.time() - t1) / 1000 * 1000
print(f"DRL deterministic: {drl_det:.0f}")
print(f"DRL best (1k samp): {min(drl_samples):.0f}")
print(f"DRL avg (1k samp): {np.mean(drl_samples):.1f}")
print(f"DRL std: {np.std(drl_samples):.2f}")
print(f"DRL inference: {infer_ms:.2f} ms/episode")
# SA baseline
print("\nRunning SA baseline on real data...")
sa_real = sa_solve(LINE_A_PROC, LINE_B_PROC, LINE_A_YIELD_GRAN,
LINE_A_YIELD_STRIP, LINE_B_DEMAND_GRAN,
LINE_B_DEMAND_STRIP, n_starts=10, max_iter=20000)
print(f"SA best: {sa_real['best']:.0f}")
print(f"SA avg: {sa_real['avg']:.1f}")
print(f"SA std: {sa_real['std']:.2f}")
print(f"SA cpu: {sa_real['cpu']:.2f}s")
print(f"\n{'Method':<18} {'Best':>6} {'Avg':>8} {'Std':>8} {'Time':>12}")
print("-" * 54)
print(f"{'FCFS':<18} {'1438':>6} {'1438':>8} {'—':>8} {'—':>12}")
print(f"{'Paper GA':<18} {'1307':>6} {'1315':>8} {'8.05':>8} {'1.28s':>12}")
print(f"{'SA (ours)':<18} {sa_real['best']:>6.0f} {sa_real['avg']:>8.1f} {sa_real['std']:>8.2f} {sa_real['cpu']:>10.2f}s")
print(f"{'DRL (ours)':<18} {min(drl_samples):>6.0f} {np.mean(drl_samples):>8.1f} {np.std(drl_samples):>8.2f} {infer_ms:>8.2f}ms")
print(f"{'Speedup':<18} {'':>6} {'':>8} {'':>8} {sa_real['cpu']/(infer_ms/1000):>8.0f}x")
# --- Synthetic dataset (Table 6) ---
print(f"\n--- Table 6: Synthetic Dataset (10 instances) ---")
t6_sa, t6_drl, t6_fcfs = [], [], []
sa_times, drl_times = [], []
for inst in range(10):
pa, pb, yg, ys, dg, ds = generate_instance(
np.random.default_rng(inst*100+7))
# FCFS
f = simulate_crmp(list(range(8)), list(range(6)), pa, pb, yg, ys, dg, ds)["makespan"]
t6_fcfs.append(f)
# SA
sa = sa_solve(pa, pb, yg, ys, dg, ds, n_starts=5, max_iter=15000, seed=inst)
t6_sa.append(sa['best'])
sa_times.append(sa['cpu'])
# DRL (just inference - no retraining!)
t_drl = time.time()
drl_best = float('inf')
drl_all = []
for _ in range(300):
ie = CRMPEnv(stochastic=False, base_proc_a=pa, base_proc_b=pb,
base_yield_g=yg, base_yield_s=ys,
base_demand_g=dg, base_demand_s=ds)
_, si = collect_episode(ie, agent, device, deterministic=False)
ms = si.get('makespan') or 9999
drl_all.append(ms)
if ms < drl_best: drl_best = ms
drl_cpu = time.time() - t_drl
t6_drl.append(drl_best)
drl_times.append(drl_cpu)
print(f" Inst {inst+1:2d}: FCFS={f:.0f} SA={sa['best']:.0f}({sa['cpu']:.1f}s) "
f"DRL={drl_best:.0f}({drl_cpu:.1f}s)")
print(f"\n{'Inst':<6} {'FCFS':>8} {'SA':>8} {'DRL':>8}")
print("-" * 32)
for i in range(10):
best_mark = " *" if t6_drl[i] <= t6_sa[i] else ""
print(f"{'#'+str(i+1):<6} {t6_fcfs[i]:>8.0f} {t6_sa[i]:>8.0f} {t6_drl[i]:>8.0f}{best_mark}")
print("-" * 32)
print(f"{'Avg':<6} {np.mean(t6_fcfs):>8.0f} {np.mean(t6_sa):>8.0f} {np.mean(t6_drl):>8.0f}")
wins = sum(1 for d, s in zip(t6_drl, t6_sa) if d <= s)
print(f"\nDRL wins/ties: {wins}/10")
print(f"SA avg time: {np.mean(sa_times):.1f}s per instance")
print(f"DRL avg time: {np.mean(drl_times):.1f}s (300 samples)")
print(f"DRL 1-shot: {infer_ms:.2f}ms")
print(f"\n{'='*70}")
print(f"SUMMARY")
print(f" Training: {train_time:.0f}s (one-time cost)")
print(f" Real data: DRL best={min(drl_samples):.0f} vs GA=1307")
print(f" Synthetic: DRL avg={np.mean(t6_drl):.0f} vs SA avg={np.mean(t6_sa):.0f}")
print(f" Speed: {infer_ms:.2f}ms vs SA {np.mean(sa_times):.1f}s = {np.mean(sa_times)/(infer_ms/1000):.0f}x faster")
print(f"{'='*70}")
if __name__ == '__main__':
train()
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