"""Monte Carlo episodes: MMPP traffic through a packet-level queueing network under six routers. One episode samples a topology from its design cell, the failure/degradation timeline, F flows between distinct ordered (source, sink) pairs whose mean rates realise the cell's offered load, and each flow's Markov-modulated Poisson arrival stream. That identical scenario is then replayed under every router, so any difference between routers is attributable to the routing policy alone. The queueing model is deliberately explicit: * every node owns one drop-tail FIFO buffer of ``buffer_size`` packets shared by all flows; * every directed link forwards at most ``capacity`` packets per step, taking the oldest packets at its tail whose next hop crosses it (virtual output queueing, no head-of-line blocking); * a packet forwarded at step t over a link of latency ℓ reaches the head node at step t + ℓ, where it is delivered (its flow's sink), admitted, or dropped if the buffer is full; * routing decisions are recomputed every step (potential, potential_split, adaptive_shortest_path) or at every topology change (potential_static, shortest_path, ecmp). Every step is vectorised with NumPy over the packets in flight; episodes are mapped across CPU cores with ``multiprocessing.Pool`` and streamed to Parquet shard by shard. """ from __future__ import annotations import multiprocessing as mp import time from dataclasses import dataclass from functools import partial from pathlib import Path from typing import Dict, List import numpy as np import pyarrow as pa from .config import SimConfig from .design import RATE_SIGMA, Cell, TrafficProfile, locate from .graph_generator import Topology, TopologyEvent, generate_timeline, generate_topology from .physics_engine import (COST_QUANTUM, EcmpTable, LiveGraph, PotentialField, currents, dijkstra_next_hops, live_graph, path_metrics, spray_next_hops, steepest_next_hops) from .telemetry_logger import SCHEMAS, completed_shards, list_column, write_shard FIELD_ROUTER = "potential" # the router whose potential field is stored @dataclass(frozen=True) class Flows: source: np.ndarray # (F,) int16 sink: np.ndarray # (F,) int16 mean_rate: np.ndarray # (F,) float32 long-run packets/step idle_rate: np.ndarray # (F,) float32 burst_rate: np.ndarray # (F,) float32 min_hops: np.ndarray # (F,) int16 on the base topology min_latency: np.ndarray # (F,) int16 on the base topology total_capacity: float # Σ over directed base links of capacity, packets/step def sample_flows(cfg: SimConfig, cell: Cell, topo: Topology, base: LiveGraph, rng: np.random.Generator) -> Flows: endpoints = topo.endpoints k = len(endpoints) n_flows = cfg.flows_per_endpoint * k pair = rng.choice(k * (k - 1), n_flows, replace=False) # distinct ordered pairs si, ti = pair // (k - 1), pair % (k - 1) ti = ti + (ti >= si) source, sink = endpoints[si], endpoints[ti] min_hops, min_latency = path_metrics(base, source, sink) weight = np.exp(RATE_SIGMA * rng.standard_normal(n_flows)) # elephants and mice total_capacity = float(base.capacity.sum()) mean = cell.load * total_capacity * weight / float(weight @ min_hops) idle, burst = cell.profile.rates(mean) return Flows(source, sink, mean.astype(np.float32), idle.astype(np.float32), burst.astype(np.float32), min_hops, min_latency, total_capacity) def sample_mmpp(cfg: SimConfig, profile: TrafficProfile, flows: Flows, rng: np.random.Generator): """Two-state MMPP per flow: (state (F, T) int8 with 1 = burst, arrivals (F, T) int32).""" n_flows = len(flows.source) state = np.zeros((n_flows, cfg.steps), np.int8) if profile.peak_ratio > 1.0: p_ib, p_bi = 1.0 / profile.mean_idle_steps, 1.0 / profile.mean_burst_steps state[:, 0] = rng.random(n_flows) < profile.duty # stationary start u = rng.random((n_flows, cfg.steps)) for t in range(1, cfg.steps): idle = state[:, t - 1] == 0 state[:, t] = np.where(idle, u[:, t] < p_ib, u[:, t] >= p_bi) rate = np.where(state == 1, flows.burst_rate[:, None], flows.idle_rate[:, None]) return state, rng.poisson(rate).astype(np.int32) def _rank_within_groups(sorted_keys: np.ndarray) -> np.ndarray: """Position of every element inside its run of equal keys (keys must be sorted).""" n = len(sorted_keys) starts = np.flatnonzero(np.r_[True, sorted_keys[1:] != sorted_keys[:-1]]) return np.arange(n) - np.repeat(starts, np.diff(np.r_[starts, n])) @dataclass class RouterRun: queue: np.ndarray # (T, N) int16 buffer occupancy after admission, before forwarding node_drops: np.ndarray # (T, N) int16 packets dropped at each node this step link_load: np.ndarray # (T, 2E) int16 packets forwarded over each directed base link potential: np.ndarray # (S, tracked, N) float32 field snapshots every `stride` steps, or None per_flow: Dict[str, np.ndarray] # (T, F) int32: admitted, delivered, dropped, queued, in_transit, route_changes delay_sum: np.ndarray # (T, F) sum of end-to-end delays of packets delivered this step in_flight: np.ndarray # (F,) packets still queued or on a link when the episode ends delays: List[np.ndarray] # per flow, end-to-end delay of every delivered packet propagation: List[np.ndarray] # per flow, propagation part of that delay hops: List[np.ndarray] # per flow, hop count of every delivered packet utilisation: float # packets forwarded / directed link capacity, over all link-steps saturation: float # fraction of directed link-steps forwarding at full capacity def run_router(cfg: SimConfig, topo: Topology, flows: Flows, arrivals: np.ndarray, changes: list, router: str, field_stride: int) -> RouterRun: n, n_flows, steps, buffer = topo.n_nodes, len(flows.source), cfg.steps, cfg.buffer_size n_edges = len(topo.edges) source, sink = flows.source, flows.sink flow_ids = np.arange(n_flows) sinks, sink_index = np.unique(sink, return_inverse=True) # per-sink tables serve every flow background = cfg.background_injection / (n - 1) tracked = min(cfg.tracked_flows, n_flows) field_based = router in ("potential", "potential_split", "potential_static") per_step = router in ("potential", "potential_split", "adaptive_shortest_path") # Packets in flight as a structure of arrays. p_flow = np.zeros(0, np.int16) p_birth = np.zeros(0, np.int32) p_node = np.zeros(0, np.int16) p_ready = np.zeros(0, np.int32) # step at which the packet is (or becomes) available at p_node p_prop = np.zeros(0, np.int32) # propagation delay accumulated so far p_hops = np.zeros(0, np.int16) p_id = np.zeros(0, np.int64) # global creation order: FIFO tie-break and spraying coordinate next_id = 0 queue_log = np.zeros((steps, n), np.int16) drop_log = np.zeros((steps, n), np.int16) link_log = np.zeros((steps, 2 * n_edges), np.int16) phi_log = (np.zeros((-(-steps // field_stride), tracked, n), np.float32) if router == FIELD_ROUTER else None) per_flow = {k: np.zeros((steps, n_flows), np.int32) for k in ("admitted", "delivered", "dropped", "queued", "in_transit", "route_changes")} delay_sum = np.zeros((steps, n_flows), np.float64) done_flow, done_delay, done_prop, done_hops = [], [], [], [] util_num = util_den = 0.0 saturated = link_steps = 0 previous_hops = None change_i = 0 for t in range(steps): # 1. Topology in force at this step; rebuild the routing state when links change. if change_i < len(changes) and changes[change_i][0] == t: g = live_graph(n, topo.edges, changes[change_i][1], topo.latency) change_i += 1 if field_based: field = PotentialField(g, source, sink, cfg.source_injection) if router == "potential_static": next_hop = steepest_next_hops(currents(field.solve(np.full(n, background)), g), g) elif router in ("shortest_path", "ecmp"): by_sink, dist = dijkstra_next_hops(g.latency.astype(np.float64), g, sinks) next_hop = by_sink[sink_index] if router == "ecmp": ecmp = EcmpTable(dist, g) # 2. New packets appear at their sources. new = arrivals[:, t] n_new = int(new.sum()) if n_new: new_flow = np.repeat(flow_ids, new).astype(np.int16) p_flow = np.concatenate([p_flow, new_flow]) p_birth = np.concatenate([p_birth, np.full(n_new, t, np.int32)]) p_node = np.concatenate([p_node, source[new_flow]]) p_ready = np.concatenate([p_ready, np.full(n_new, t, np.int32)]) p_prop = np.concatenate([p_prop, np.zeros(n_new, np.int32)]) p_hops = np.concatenate([p_hops, np.zeros(n_new, np.int16)]) p_id = np.concatenate([p_id, np.arange(next_id, next_id + n_new)]) next_id += n_new # 3. Packets reaching a node this step: deliver at the sink, otherwise admit (drop-tail). per_flow["admitted"][t] = new arriving = p_ready == t if arriving.any(): at_sink = arriving & (p_node == sink[p_flow]) remove = at_sink.copy() if at_sink.any(): f, d = p_flow[at_sink], (t - p_birth[at_sink]).astype(np.int32) np.add.at(per_flow["delivered"][t], f, 1) np.add.at(delay_sum[t], f, d) done_flow.append(f) done_delay.append(d) done_prop.append(p_prop[at_sink]) done_hops.append(p_hops[at_sink]) entering = np.flatnonzero(arriving & ~at_sink) if len(entering): space = buffer - np.bincount(p_node[p_ready < t], minlength=n) entering = entering[np.lexsort((p_id[entering], p_node[entering]))] # per node, oldest first node = p_node[entering] lost = entering[_rank_within_groups(node) >= space[node]] if len(lost): np.add.at(per_flow["dropped"][t], p_flow[lost], 1) np.add.at(drop_log[t], p_node[lost], 1) at_source = lost[p_birth[lost] == t] per_flow["admitted"][t] -= np.bincount(p_flow[at_source], minlength=n_flows) remove[lost] = True keep = ~remove p_flow, p_birth, p_node, p_ready = p_flow[keep], p_birth[keep], p_node[keep], p_ready[keep] p_prop, p_hops, p_id = p_prop[keep], p_hops[keep], p_id[keep] # 4. Telemetry snapshot of every buffer, then the routing decision. in_buffer = p_ready <= t queue = np.bincount(p_node[in_buffer], minlength=n) queue_log[t] = queue per_flow["queued"][t] = np.bincount(p_flow[in_buffer], minlength=n_flows) per_flow["in_transit"][t] = np.bincount(p_flow[~in_buffer], minlength=n_flows) if per_step: if router == "adaptive_shortest_path": cost = np.round((g.latency + queue[g.src] / g.capacity) / COST_QUANTUM) by_sink, _ = dijkstra_next_hops(cost, g, sinks) next_hop = by_sink[sink_index] else: phi = field.solve(background + cfg.congestion_gain * queue / buffer) cur = currents(phi, g) next_hop = steepest_next_hops(cur, g) if router == FIELD_ROUTER and t % field_stride == 0: phi_log[t // field_stride] = phi[:tracked] if previous_hops is not None and next_hop is not previous_hops: per_flow["route_changes"][t] = (next_hop != previous_hops).sum(axis=1) previous_hops = next_hop # 5. Forwarding: each directed link takes the oldest packets routed over it, up to capacity. idx = np.flatnonzero(in_buffer) if len(idx): node, flow = p_node[idx], p_flow[idx] if router == "potential_split": hop = spray_next_hops(cur, g, node, flow, p_id[idx]) elif router == "ecmp": hop = ecmp.hops(sink_index[flow], node, p_id[idx]) else: hop = next_hop[flow, node] routable = hop >= 0 idx, hop = idx[routable], hop[routable] link = g.dir_edge[p_node[idx], hop] order = np.lexsort((p_id[idx], p_ready[idx], link)) idx, link = idx[order], link[order] forward = _rank_within_groups(link) < g.capacity[link] idx, link = idx[forward], link[forward] p_ready[idx] = t + g.latency[link] p_prop[idx] += g.latency[link] p_hops[idx] += 1 p_node[idx] = g.dst[link] load = np.bincount(link, minlength=len(g.src)) link_log[t] = np.bincount(g.base, weights=load, minlength=2 * n_edges).astype(np.int16) util_num += load.sum() saturated += int((load == g.capacity).sum()) util_den += g.capacity.sum() link_steps += len(g.src) done_flow = np.concatenate(done_flow) if done_flow else np.zeros(0, np.int16) done_delay = np.concatenate(done_delay) if done_delay else np.zeros(0, np.int32) done_prop = np.concatenate(done_prop) if done_prop else np.zeros(0, np.int32) done_hops = np.concatenate(done_hops) if done_hops else np.zeros(0, np.int16) in_flight = np.bincount(p_flow, minlength=n_flows).astype(np.int32) conserved = per_flow["delivered"].sum(0) + per_flow["dropped"].sum(0) + in_flight assert np.array_equal(arrivals.sum(axis=1), conserved), "packet conservation" order = np.argsort(done_flow, kind="stable") bounds = np.searchsorted(done_flow[order], np.arange(n_flows + 1)) def by_flow(values: np.ndarray) -> List[np.ndarray]: values = values[order] return [values[bounds[f]:bounds[f + 1]] for f in flow_ids] return RouterRun(queue_log, drop_log, link_log, phi_log, per_flow, delay_sum, in_flight, by_flow(done_delay), by_flow(done_prop), by_flow(done_hops), util_num / util_den, saturated / link_steps) def field_stride(cfg: SimConfig, n_nodes: int, n_flows: int) -> int: tracked = min(cfg.tracked_flows, n_flows) return max(1, -(-4 * n_nodes * tracked * cfg.steps // cfg.field_budget_bytes)) def simulate_episode(cfg: SimConfig, episode_id: int) -> Dict[str, pa.Table]: """Sample one scenario, replay it under every configured router, return its telemetry tables.""" cells = cfg.cells cell_index, replicate, split = locate(episode_id, len(cells)) cell = cells[cell_index] rng = np.random.default_rng([cfg.seed, episode_id]) topo = generate_topology(cfg, cell, rng) base = live_graph(topo.n_nodes, topo.edges, topo.capacity, topo.latency) flows = sample_flows(cfg, cell, topo, base, rng) mmpp_state, arrivals = sample_mmpp(cfg, cell.profile, flows, rng) events, changes = generate_timeline(cfg, topo, cell.dynamics, rng) stride = field_stride(cfg, topo.n_nodes, len(flows.source)) runs = {r: run_router(cfg, topo, flows, arrivals, changes, r, stride) for r in cfg.routers} return _episode_tables(cfg, episode_id, cell, cell_index, replicate, split, topo, flows, mmpp_state, arrivals, events, stride, runs) def _stat(values: List[np.ndarray], fn, empty=np.nan, dtype=np.float32) -> np.ndarray: return np.array([fn(v) if len(v) else empty for v in values], dtype) def _episode_tables(cfg: SimConfig, episode_id: int, cell: Cell, cell_index: int, replicate: int, split: str, topo: Topology, flows: Flows, mmpp_state: np.ndarray, arrivals: np.ndarray, events: List[TopologyEvent], stride: int, runs: Dict[str, RouterRun]) -> Dict[str, pa.Table]: n, n_flows, steps, n_edges = topo.n_nodes, len(flows.source), cfg.steps, len(topo.edges) tracked = min(cfg.tracked_flows, n_flows) step = np.arange(steps, dtype=np.int32) offered = arrivals.sum(axis=1).astype(np.int32) profile = cell.profile def ep(size: int) -> np.ndarray: return np.full(size, episode_id, np.int32) def text(value: str, size: int) -> pa.Array: return pa.array([value] * size, pa.string()) tables = { "episodes": pa.table({ "episode_id": ep(1), "cell_id": np.array([cell_index], np.int16), "replicate": np.array([replicate], np.int16), "split": [split], "topology": [cell.topology], "size": np.array([cell.size], np.int16), "traffic_profile": [cell.traffic_profile], "load_level": [cell.load_level], "dynamics_level": [cell.dynamics_level], "n_nodes": np.array([n], np.int16), "n_edges": np.array([n_edges], np.int32), "n_flows": np.array([n_flows], np.int16), "tracked_flows": np.array([tracked], np.int16), "steps": np.array([steps], np.int32), "field_stride": np.array([stride], np.int16), "offered_load": np.array([cell.load], np.float32), "total_capacity": np.array([flows.total_capacity], np.float32), "edge_u": [topo.edges[:, 0]], "edge_v": [topo.edges[:, 1]], "capacity": [topo.capacity], "latency": [topo.latency], "node_role": [topo.node_role], "node_x": [topo.node_xy[:, 0]], "node_y": [topo.node_xy[:, 1]], "flow_source": [flows.source], "flow_sink": [flows.sink], "flow_mean_rate": [flows.mean_rate], "flow_idle_rate": [flows.idle_rate], "flow_burst_rate": [flows.burst_rate], "p_idle_to_burst": np.array([1.0 / profile.mean_idle_steps if profile.peak_ratio > 1 else 0.0], np.float32), "p_burst_to_idle": np.array([1.0 / profile.mean_burst_steps if profile.peak_ratio > 1 else 0.0], np.float32), }, schema=SCHEMAS["episodes"]), "events": pa.table({ "episode_id": ep(len(events)), "kind": [e.kind for e in events], "start": np.array([e.start for e in events], np.int32), "end": np.array([e.end for e in events], np.int32), "node": np.array([e.node for e in events], np.int16), "edge_u": np.array([topo.edges[e.edge, 0] if e.edge >= 0 else -1 for e in events], np.int16), "edge_v": np.array([topo.edges[e.edge, 1] if e.edge >= 0 else -1 for e in events], np.int16), "factor": np.array([e.factor for e in events], np.float32), }, schema=SCHEMAS["events"]), } parts = {name: [] for name in ("router_summary", "flow_summary", "flow_telemetry", "network_telemetry", "link_telemetry")} for router, run in runs.items(): pf = run.per_flow delivered, dropped = pf["delivered"].sum(0), pf["dropped"].sum(0) all_delays = np.concatenate(run.delays) with np.errstate(invalid="ignore", divide="ignore"): flow_mean_delay = (run.delay_sum / pf["delivered"]).astype(np.float32) step_mean_delay = (run.delay_sum.sum(1) / pf["delivered"].sum(1)).astype(np.float32) parts["router_summary"].append(pa.table({ "episode_id": ep(1), "router": [router], "offered": np.array([offered.sum()], np.int32), "delivered": np.array([delivered.sum()], np.int32), "dropped": np.array([dropped.sum()], np.int32), "in_flight": np.array([run.in_flight.sum()], np.int32), "loss_ratio": np.array([dropped.sum() / max(offered.sum(), 1)], np.float32), "mean_delay": np.array([all_delays.mean() if len(all_delays) else np.nan], np.float32), "p99_delay": np.array([np.percentile(all_delays, 99) if len(all_delays) else np.nan], np.float32), "mean_queue": np.array([run.queue.mean()], np.float32), "max_queue": np.array([run.queue.max()], np.int32), "link_utilisation": np.array([run.utilisation], np.float32), "link_saturation": np.array([run.saturation], np.float32), "route_changes": np.array([pf["route_changes"].sum()], np.int32), }, schema=SCHEMAS["router_summary"])) quantiles = np.array([np.percentile(d, [50, 95, 99]) if len(d) else [np.nan] * 3 for d in run.delays], np.float32) parts["flow_summary"].append(pa.table({ "episode_id": ep(n_flows), "router": text(router, n_flows), "flow": np.arange(n_flows, dtype=np.int16), "source": flows.source, "sink": flows.sink, "mean_rate": flows.mean_rate, "min_hops": flows.min_hops, "min_latency": flows.min_latency, "offered": offered, "delivered": delivered, "dropped": dropped, "in_flight": run.in_flight, "loss_ratio": (dropped / np.maximum(offered, 1)).astype(np.float32), "mean_delay": _stat(run.delays, np.mean), "delay_std": _stat(run.delays, np.std), "p50_delay": quantiles[:, 0], "p95_delay": quantiles[:, 1], "p99_delay": quantiles[:, 2], "max_delay": _stat(run.delays, np.max, -1, np.int32), "mean_queueing_delay": np.array([(d - p).mean() if len(d) else np.nan for d, p in zip(run.delays, run.propagation)], np.float32), "mean_path_latency": _stat(run.propagation, np.mean), "mean_hops": _stat(run.hops, np.mean), "route_changes": pf["route_changes"].sum(0).astype(np.int32), }, schema=SCHEMAS["flow_summary"])) tf = slice(0, tracked) parts["flow_telemetry"].append(pa.table({ "episode_id": ep(steps * tracked), "router": text(router, steps * tracked), "step": np.repeat(step, tracked), "flow": np.tile(np.arange(tracked, dtype=np.int16), steps), "mmpp_state": mmpp_state[tf].T.ravel(), "offered": arrivals[tf].T.ravel(), "admitted": pf["admitted"][:, tf].ravel(), "delivered": pf["delivered"][:, tf].ravel(), "dropped": pf["dropped"][:, tf].ravel(), "queued": pf["queued"][:, tf].ravel(), "in_transit": pf["in_transit"][:, tf].ravel(), "mean_delay": flow_mean_delay[:, tf].ravel(), "route_changes": pf["route_changes"][:, tf].ravel(), }, schema=SCHEMAS["flow_telemetry"])) parts["network_telemetry"].append(pa.table({ "episode_id": ep(steps), "router": text(router, steps), "step": step, "offered": arrivals.sum(0).astype(np.int32), "admitted": pf["admitted"].sum(1), "delivered": pf["delivered"].sum(1), "dropped": pf["dropped"].sum(1), "queued": pf["queued"].sum(1), "in_transit": pf["in_transit"].sum(1), "mean_delay": step_mean_delay, "route_changes": pf["route_changes"].sum(1), "queue_depth": list_column(run.queue, pa.int16()), "node_dropped": list_column(run.node_drops, pa.int16()), }, schema=SCHEMAS["network_telemetry"])) parts["link_telemetry"].append(pa.table({ "episode_id": ep(steps), "router": text(router, steps), "step": step, "load_uv": list_column(run.link_load[:, :n_edges], pa.int16()), "load_vu": list_column(run.link_load[:, n_edges:], pa.int16()), }, schema=SCHEMAS["link_telemetry"])) if run.potential is not None: snapshots = run.potential.shape[0] tables["potential_field"] = pa.table({ "episode_id": ep(snapshots), "step": (np.arange(snapshots) * stride).astype(np.int32), "potential": list_column(run.potential.reshape(snapshots, -1), pa.float32()), }, schema=SCHEMAS["potential_field"]) for name, chunks in parts.items(): tables[name] = pa.concat_tables(chunks) return tables def run_sweep(cfg: SimConfig, data_dir: Path, workers: int, log=print) -> None: """Map every unfinished shard of episodes across `workers` processes and stream it to Parquet.""" n_shards = -(-cfg.episodes // cfg.shard_episodes) def shard_ids(shard: int) -> range: return range(shard * cfg.shard_episodes, min((shard + 1) * cfg.shard_episodes, cfg.episodes)) done = completed_shards(data_dir, n_shards, cfg.routers) todo = [s for s in range(n_shards) if s not in done] if done: log(f"Resuming: {len(done)}/{n_shards} shards already complete.") if not todo: log("Nothing to do: every shard is complete.") return episodes_todo = [e for s in todo for e in shard_ids(s)] log(f"Simulating {len(episodes_todo)} episodes x {len(cfg.routers)} routers " f"({len(cfg.cells)} design cells) on {workers} workers ...") start, finished = time.time(), 0 with mp.get_context("spawn").Pool(workers) as pool: # same start method on every platform results = pool.imap(partial(simulate_episode, cfg), episodes_todo, chunksize=1) for shard in todo: ids = shard_ids(shard) write_shard(data_dir, shard, [next(results) for _ in ids]) finished += len(ids) elapsed = time.time() - start eta = elapsed / finished * (len(episodes_todo) - finished) log(f" shard {shard + 1:>4}/{n_shards} episodes {finished:>6}/{len(episodes_todo)} " f"elapsed {elapsed / 3600:5.2f} h eta {eta / 3600:5.2f} h") log(f"Done in {(time.time() - start) / 3600:.2f} h.")