refactor code
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@@ -174,12 +174,12 @@ def simulation_wrapper1(simulation_time, num_runs, min_runs, confidence_level, l
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run_results = [res[0] for res in successful_results]
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loss_rates = [res[1] for res in successful_results]
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n = len(run_results)
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# reject if not enough successful run
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if len(run_results) >= min_runs:
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if n >= min_runs:
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# statistics
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mean_rt = np.mean(run_results)
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std_dev = np.std(run_results, ddof=1)
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n = len(run_results)
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# confidence interval
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t_value = t.ppf((1 + confidence_level)/2, n-1)
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@@ -196,8 +196,8 @@ def simulation_wrapper1(simulation_time, num_runs, min_runs, confidence_level, l
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losses.append(mean_loss)
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print(f"C={c}, λ={lambda_val:.2f}, Mean RT={mean_rt:.2f} ± {ci:.2f}, Mean Loss Rate={mean_loss:.2%}")
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elif len(run_results) > 0:
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print(f"λ={lambda_val:.2f} skipped - only {len(run_results)} successful run(s)")
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elif n > 0:
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print(f"λ={lambda_val:.2f} skipped - only {n} successful run(s)")
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continue
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else:
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print(f"Stopped at λ={lambda_val:.2f} - no successful run")
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@@ -213,6 +213,85 @@ def simulation_wrapper1(simulation_time, num_runs, min_runs, confidence_level, l
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loss_data[c] = (np.array(lambda_points), np.array(losses))
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# plot curves
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if len(lambda_vals)>1:
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ax_rt.set_xlim(left=0)
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ax_rt.set_xlabel('Arrival Rate (λ)')
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ax_rt.set_ylabel('Mean Response Time')
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ax_rt.set_title(f'Mean Response Time vs Arrival Rate ({num_runs} runs, {int(confidence_level*100)}% CI)')
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ax_rt.legend()
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ax_rt.grid(True)
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return loss_data, mean_at_lambda1
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def simulation_wrapper2(simulation_time, num_runs, min_runs, confidence_level, lambda_vals, max_loss_value=0.1):
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fig, (ax_rt, ax_loss) = plt.subplots(2,1, figsize=(12,10), gridspec_kw={'height_ratios': [4, 3], 'hspace': 0.4}, sharex=False)
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loss_data, mean_at_lambda1 = simulation_wrapper1(simulation_time, num_runs, min_runs, confidence_level, lambda_vals, ax_rt)
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if len(lambda_vals) > 1:
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for c, (lams, losses) in loss_data.items():
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lambda_vals2 = []
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if len(lams)==0:
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print(f"C={c}: no data at all.")
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continue
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pos_idx = np.where(losses > 0)[0]
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if pos_idx.size > 0:
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first_lambda = lams[pos_idx[0]]
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else:
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first_lambda = None
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last_lambda = lams[-1]
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print(f"C={c:>1} first λ with loss > 0: "
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f"{first_lambda if first_lambda is not None else 'never'}; "
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f" last λ with data: {last_lambda}")
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lambda_vals2.extend([last_lambda + i/1000 for i in range(-100,51)])
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lambda_points = []
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losses = []
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ci_lower = []
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ci_upper = []
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print(f"\nProcessing C={c}")
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with Pool() as pool:
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for lambda_val in lambda_vals2:
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args_list = [(c, lambda_val, simulation_time, max_loss_value) for _ in range(num_runs)]
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results = pool.map(run_single_simulation, args_list)
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successful_results = [res for res in results if res is not None]
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loss_rates = [res[1] for res in successful_results]
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n = len(loss_rates)
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if n >= min_runs:
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# statistics
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mean_loss = np.mean(loss_rates)
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std_dev = np.std(loss_rates, ddof=1)
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# confidence interval
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t_value = t.ppf((1 + confidence_level)/2, n-1)
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ci = t_value * std_dev / np.sqrt(n)
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# store results
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lambda_points.append(lambda_val)
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losses.append(mean_loss)
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ci_lower.append(mean_loss - ci)
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ci_upper.append(mean_loss + ci)
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print(f"C={c}, λ={lambda_val:.4f}, Mean Loss Rate={mean_loss:.2%} ± {ci:.2f}")
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elif n > 0:
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print(f"λ={lambda_val:.4f} skipped - only {n} successful run(s)")
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continue
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else:
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print(f"Stopped at λ={lambda_val:.4f} - no successful run")
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break
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ax_loss.plot(lambda_points, losses, label=f'C={c}')
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ax_loss.fill_between(lambda_points, ci_lower, ci_upper, alpha=0.2)
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# determine optimal C for lamba = 1
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if mean_at_lambda1:
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sorted_C = sorted(mean_at_lambda1.items(), key=lambda item: item[1][0])
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@@ -224,91 +303,15 @@ def simulation_wrapper1(simulation_time, num_runs, min_runs, confidence_level, l
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else:
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print("\nNo valid λ=1 data for any C.")
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#plot curves
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if len(lambda_vals) > 1:
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ax_loss.set_xlim(left=2)
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ax_loss.set_xlabel('Arrival Rate (λ)')
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ax_loss.set_ylabel('Mean Loss Rate')
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ax_loss.set_title(f'Mean Loss Rate vs Arrival Rate ({num_runs} runs, {int(confidence_level*100)}% CI)')
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ax_loss.legend()
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ax_loss.grid(True)
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# plot curves
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if len(lambda_vals)>1:
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ax_rt.set_xlim(left=0)
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ax_rt.set_xlabel('Arrival Rate (λ)')
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ax_rt.set_ylabel('Mean Response Time')
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ax_rt.set_title(f'Mean Response Time vs Arrival Rate ({num_runs} runs, {int(confidence_level*100)}% CI)')
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ax_rt.legend()
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ax_rt.grid(True)
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return loss_data
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def simulation_wrapper2(simulation_time, num_runs, min_runs, confidence_level, lambda_vals, max_loss_value=0.1):
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fig, (ax_rt, ax_loss) = plt.subplots(2,1, figsize=(12,10), gridspec_kw={'height_ratios': [4, 3], 'hspace': 0.4}, sharex=False)
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loss_data = simulation_wrapper1(simulation_time, num_runs, min_runs, confidence_level, lambda_vals, ax_rt)
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for c, (lams, losses) in loss_data.items():
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lambda_vals2 = []
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if len(lams)==0:
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print(f"C={c}: no data at all.")
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continue
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pos_idx = np.where(losses > 0)[0]
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if pos_idx.size > 0:
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first_lambda = lams[pos_idx[0]]
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else:
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first_lambda = None
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last_lambda = lams[-1]
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print(f"C={c:>1} first λ with loss > 0: "
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f"{first_lambda if first_lambda is not None else 'never'}; "
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f" last λ with data: {last_lambda}")
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lambda_vals2.extend([last_lambda + i/1000 for i in range(-100,51)])
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lambda_points = []
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losses = []
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ci_lower = []
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ci_upper = []
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print(f"\nProcessing C={c}")
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with Pool() as pool:
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for lambda_val in lambda_vals2:
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args_list = [(c, lambda_val, simulation_time, max_loss_value) for _ in range(num_runs)]
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results = pool.map(run_single_simulation, args_list)
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successful_results = [res for res in results if res is not None]
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loss_rates = [res[1] for res in successful_results]
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n = len(loss_rates)
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if n >= min_runs:
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# statistics
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mean_loss = np.mean(loss_rates)
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std_dev = np.std(loss_rates, ddof=1)
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# confidence interval
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t_value = t.ppf((1 + confidence_level)/2, n-1)
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ci = t_value * std_dev / np.sqrt(n)
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# store results
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lambda_points.append(lambda_val)
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losses.append(mean_loss)
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ci_lower.append(mean_loss - ci)
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ci_upper.append(mean_loss + ci)
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print(f"C={c}, λ={lambda_val:.4f}, Mean Loss Rate={mean_loss:.2%} ± {ci:.2f}")
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elif n > 0:
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print(f"λ={lambda_val:.4f} skipped - only {n} successful run(s)")
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continue
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else:
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print(f"Stopped at λ={lambda_val:.4f} - no successful run")
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break
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ax_loss.plot(lambda_points, losses, label=f'C={c}')
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ax_loss.fill_between(lambda_points, ci_lower, ci_upper, alpha=0.2)
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ax_loss.set_xlim(left=2)
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ax_loss.set_xlabel('Arrival Rate (λ)')
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ax_loss.set_ylabel('Mean Loss Rate')
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ax_loss.set_title(f'Mean Loss Rate vs Arrival Rate ({num_runs} runs, {int(confidence_level*100)}% CI)')
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ax_loss.legend()
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ax_loss.grid(True)
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plt.show()
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plt.show()
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