{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:INU5NGDEVGRWJDUK7R5ZBPC3ZW","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":"432abd088c8120564aba23c58a37c491433c078513eab77a478f9f2a913645df","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2019-08-13T01:18:05Z","title_canon_sha256":"dd14f358903c776104959f657f454536519e64b881740ffa862397bd1ecc5eb9"},"schema_version":"1.0","source":{"id":"1908.04452","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.04452","created_at":"2026-07-05T02:04:03Z"},{"alias_kind":"arxiv_version","alias_value":"1908.04452v2","created_at":"2026-07-05T02:04:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.04452","created_at":"2026-07-05T02:04:03Z"},{"alias_kind":"pith_short_12","alias_value":"INU5NGDEVGRW","created_at":"2026-07-05T02:04:03Z"},{"alias_kind":"pith_short_16","alias_value":"INU5NGDEVGRWJDUK","created_at":"2026-07-05T02:04:03Z"},{"alias_kind":"pith_short_8","alias_value":"INU5NGDE","created_at":"2026-07-05T02:04:03Z"}],"graph_snapshots":[{"event_id":"sha256:4c6cdae0f8cbdab8c44cb2260cd0e8a28a1d60b1630a80b44458206b5ea805c2","target":"graph","created_at":"2026-07-05T02:04:03Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1908.04452/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study a multi-objective scheduling problem on two dedicated processors. The aim is to minimize simultaneously the makespan, the total tardiness and the total completion time. This NP-hard problem requires the use of well-adapted methods. For this, we adapted genetic algorithms to multi-objective case. Three methods are presented to solve this problem. The first is aggregative, the second is Pareto and the third is non-dominated sorting genetic algorithm II (NSGA-II). We proposed some adapted lower bounds for each criterion to evaluate the quality of the found results on a large set of insta","authors_text":"Abdelaziz Dammak, Adel Kacem","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2019-08-13T01:18:05Z","title":"Multi-objective scheduling on two dedicated processors"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.04452","kind":"arxiv","version":2},"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":"sha256:80e10aa1d4a748ea48a0ddd44a4002900aaadc33849bd6d13f2875fdbde975d4","target":"record","created_at":"2026-07-05T02:04:03Z","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":"432abd088c8120564aba23c58a37c491433c078513eab77a478f9f2a913645df","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2019-08-13T01:18:05Z","title_canon_sha256":"dd14f358903c776104959f657f454536519e64b881740ffa862397bd1ecc5eb9"},"schema_version":"1.0","source":{"id":"1908.04452","kind":"arxiv","version":2}},"canonical_sha256":"4369d69864a9a3648e8afc7b90bc5bcda2fe9c068e195f276bda7b4f8b30f7af","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4369d69864a9a3648e8afc7b90bc5bcda2fe9c068e195f276bda7b4f8b30f7af","first_computed_at":"2026-07-05T02:04:03.933882Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:04:03.933882Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HBqbFkV0zqmu/a8deV8Kv+umjgwarf7FMnVFWwMetQSK0rC+sQIMdZ+e5RahxKghM5afMOkOgq3aIr3i/TZ1AQ==","signature_status":"signed_v1","signed_at":"2026-07-05T02:04:03.934303Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.04452","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:80e10aa1d4a748ea48a0ddd44a4002900aaadc33849bd6d13f2875fdbde975d4","sha256:4c6cdae0f8cbdab8c44cb2260cd0e8a28a1d60b1630a80b44458206b5ea805c2"],"state_sha256":"2476b79d62dbb2c0b1a5d86847d76cf4f1621b221fa12c1924d71d6e13179835"}