{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:YKLL6GVBY7VRDWIQTEHDWM3M7G","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":"6966f0028a65bb9a8971559e160dc1861d5fc8b817b902d18d356503fef413b6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-12-21T12:51:28Z","title_canon_sha256":"e829c0a799ce5d97b7cac3ef2e748bcc406671527cb7bc423deb96b883a83326"},"schema_version":"1.0","source":{"id":"1412.6775","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.6775","created_at":"2026-05-18T02:30:46Z"},{"alias_kind":"arxiv_version","alias_value":"1412.6775v1","created_at":"2026-05-18T02:30:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.6775","created_at":"2026-05-18T02:30:46Z"},{"alias_kind":"pith_short_12","alias_value":"YKLL6GVBY7VR","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"YKLL6GVBY7VRDWIQ","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"YKLL6GVB","created_at":"2026-05-18T12:28:57Z"}],"graph_snapshots":[{"event_id":"sha256:f6fd9ac71bc89d77230040c8ff285341adac9cc8d7975800484abc4915b932ee","target":"graph","created_at":"2026-05-18T02:30:46Z","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":"For a multiclass G/G/1 queue with finite buffers, admission and scheduling control, and holding and rejection costs, we construct a policy that is asymptotically optimal in the heavy traffic limit. The policy is specified in terms of a single parameter which constitutes the free boundary point from the Harrison-Taksar free boundary problem, but otherwise depends \"explicitly\" on the problem data. The c mu priority rule is also used by the policy, but in a way that is novel, and, in particular, different than that used in problems with infinite buffers. We also address an analogous problem where","authors_text":"Mark Shifrin, Rami Atar","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-12-21T12:51:28Z","title":"An asymptotic optimality result for the multiclass queue with finite buffers in heavy traffic"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.6775","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:c70dc129a5f62d2ae5a437d88a8bfca95466ccbc9bea0e54aca733a3fcdb5e81","target":"record","created_at":"2026-05-18T02:30:46Z","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":"6966f0028a65bb9a8971559e160dc1861d5fc8b817b902d18d356503fef413b6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-12-21T12:51:28Z","title_canon_sha256":"e829c0a799ce5d97b7cac3ef2e748bcc406671527cb7bc423deb96b883a83326"},"schema_version":"1.0","source":{"id":"1412.6775","kind":"arxiv","version":1}},"canonical_sha256":"c296bf1aa1c7eb11d910990e3b336cf9a0016d0b24d33f50a53445a06e3350b8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c296bf1aa1c7eb11d910990e3b336cf9a0016d0b24d33f50a53445a06e3350b8","first_computed_at":"2026-05-18T02:30:46.238815Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:30:46.238815Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2LqLhDLCqJqkdJt4SmOlju6GQqgxafzSmPy5yKLJ80r1OL499nkqdo5nDJTOXDRWt2c6aBLyBmQH6PIfoUpBAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:30:46.239209Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.6775","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c70dc129a5f62d2ae5a437d88a8bfca95466ccbc9bea0e54aca733a3fcdb5e81","sha256:f6fd9ac71bc89d77230040c8ff285341adac9cc8d7975800484abc4915b932ee"],"state_sha256":"a300fd288173b94128ae33985cf6ed27761c286155b270ba279bb48ef1e5647a"}