{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:HERGUIOMSSFKI7PE7XFAK4SVXP","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"69aa5a5b2e3e1d03c42328909b9f14aa7af220252a8294dfb2f238be6c094144","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NI","submitted_at":"2011-08-01T17:43:47Z","title_canon_sha256":"1a76c84f12723ee1305db5947f2af856063def6f261d8b46a4d335e88fb30346"},"schema_version":"1.0","source":{"id":"1108.0370","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.0370","created_at":"2026-05-18T04:16:31Z"},{"alias_kind":"arxiv_version","alias_value":"1108.0370v1","created_at":"2026-05-18T04:16:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.0370","created_at":"2026-05-18T04:16:31Z"},{"alias_kind":"pith_short_12","alias_value":"HERGUIOMSSFK","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"HERGUIOMSSFKI7PE","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"HERGUIOM","created_at":"2026-05-18T12:26:30Z"}],"graph_snapshots":[{"event_id":"sha256:94449d5982a09bfa7f685598e351dacbc45b9478212ebce17dbb0688d386c3a9","target":"graph","created_at":"2026-05-18T04:16:31Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We consider the problem of packet scheduling in single-hop queueing networks, and analyze the impact of heavy-tailed traffic on the performance of Max-Weight scheduling. As a performance metric we use the delay stability of traffic flows: a traffic flow is delay stable if its expected steady-state delay is finite, and delay unstable otherwise. First, we show that a heavy-tailed traffic flow is delay unstable under any scheduling policy. Then, we focus on the celebrated Max-Weight scheduling policy, and show that a light-tailed flow that conflicts with a heavy-tailed flow is also delay unstable","authors_text":"Eytan H. Modiano, John N. Tsitsiklis, Mihalis G. Markakis","cross_cats":["math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NI","submitted_at":"2011-08-01T17:43:47Z","title":"Max-Weight Scheduling in Queueing Networks with Heavy-Tailed Traffic"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.0370","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:b7eaf6efaf347ae64e9ba6b8d6d72229166af8b2399cbfe4bf56b6d13b5df7a8","target":"record","created_at":"2026-05-18T04:16:31Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"69aa5a5b2e3e1d03c42328909b9f14aa7af220252a8294dfb2f238be6c094144","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NI","submitted_at":"2011-08-01T17:43:47Z","title_canon_sha256":"1a76c84f12723ee1305db5947f2af856063def6f261d8b46a4d335e88fb30346"},"schema_version":"1.0","source":{"id":"1108.0370","kind":"arxiv","version":1}},"canonical_sha256":"39226a21cc948aa47de4fdca057255bbd511463d3575c03b95b3bf88dfcfdef6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"39226a21cc948aa47de4fdca057255bbd511463d3575c03b95b3bf88dfcfdef6","first_computed_at":"2026-05-18T04:16:31.220332Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:16:31.220332Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ebX9ImIYGqWtjFqSDnLx8GhEV0z7+ksZyuuKYr3XZim1L+XcC7HKiPt9auGVVY0nyk0L7nbsjjmxMuaFAVqEBw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:16:31.220736Z","signed_message":"canonical_sha256_bytes"},"source_id":"1108.0370","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b7eaf6efaf347ae64e9ba6b8d6d72229166af8b2399cbfe4bf56b6d13b5df7a8","sha256:94449d5982a09bfa7f685598e351dacbc45b9478212ebce17dbb0688d386c3a9"],"state_sha256":"c204595ee38bdbd271481b55d240b0ffc4d4bf155c5b5fb612538605144f213e"}