Maria Alejandra Ttl Model Jun 2026

# ------------------------------------------------------------------ # 3. MONTE‑CARLO ESTIMATE (Algorithm 1) # ------------------------------------------------------------------ def ttl_survival_mc(TTL0, mu, delta=1, max_hops=500, n_rep=100_000): hop_times = np.random.exponential(1/mu, size=(n_rep, max_hops)) cum_times = np.cumsum(hop_times, axis=1)

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# ------------------------------------------------------------------ # 1. PARAMETERS (feel free to change) # ------------------------------------------------------------------ TTL0 = 64 # initial TTL mu = 200.0 # avg hops/sec (=> mean hop time = 5 ms) delta = 1 # TTL decrement per hop t_max = 0.5 # seconds (max observation window) n_rep = 200_000 # MC repetitions maria alejandra ttl model