{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:S6MXFNGMLMSDHURHRC6IHTRLXZ","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":"c5f219a1f8f606a37968458965eda3cb0ffc66cb12393790dd72e3cc55526196","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2015-03-19T22:45:19Z","title_canon_sha256":"17c21dbb32a3f7491b0b5e238418093f4e5c6be51a94169dc198367c8344c379"},"schema_version":"1.0","source":{"id":"1503.05960","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.05960","created_at":"2026-05-18T00:35:05Z"},{"alias_kind":"arxiv_version","alias_value":"1503.05960v4","created_at":"2026-05-18T00:35:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.05960","created_at":"2026-05-18T00:35:05Z"},{"alias_kind":"pith_short_12","alias_value":"S6MXFNGMLMSD","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"S6MXFNGMLMSDHURH","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"S6MXFNGM","created_at":"2026-05-18T12:29:39Z"}],"graph_snapshots":[{"event_id":"sha256:403c84c8e8da92cd04abc6ab63e09809a67db1f19c105c467bb9171c11942e94","target":"graph","created_at":"2026-05-18T00:35:05Z","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":"In this paper the capacitated hub location problem is formulated by a minimax regret model, which takes into account uncertain setup cost and demand. We focus on hub location with multiple allocations as a strategic problem requiring one definite solution. Investigating how deterministic models may lead to sub-optimal solutions, we provide an efficient formulation method for the problem.\n  A computational analysis is performed to investigate the impact of uncertainty on the location of hubs. The suggested model is also compared with an alternative method, seasonal optimization, in terms of eff","authors_text":"Iman Kazemian, Samin Aref","cross_cats":["math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2015-03-19T22:45:19Z","title":"Hub Location under Uncertainty: a Minimax Regret Model for the Capacitated Problem with Multiple Allocations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.05960","kind":"arxiv","version":4},"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:b12bd277da7ae0672d95ed2b465bcc79b00ace47f7f3a4346b2e2d3e7d1b3eee","target":"record","created_at":"2026-05-18T00:35:05Z","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":"c5f219a1f8f606a37968458965eda3cb0ffc66cb12393790dd72e3cc55526196","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2015-03-19T22:45:19Z","title_canon_sha256":"17c21dbb32a3f7491b0b5e238418093f4e5c6be51a94169dc198367c8344c379"},"schema_version":"1.0","source":{"id":"1503.05960","kind":"arxiv","version":4}},"canonical_sha256":"979972b4cc5b2433d22788bc83ce2bbe635e697a59557613f8c4613861eb1ca6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"979972b4cc5b2433d22788bc83ce2bbe635e697a59557613f8c4613861eb1ca6","first_computed_at":"2026-05-18T00:35:05.758286Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:35:05.758286Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Uy6IMJwRAHL1DaZwQKck9pl1tAAyF12FLviscPU977POWnT9lRL0XY5iAYZPrkXUEYNiXPBDBgae+Cf8NkdeDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:35:05.758885Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.05960","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b12bd277da7ae0672d95ed2b465bcc79b00ace47f7f3a4346b2e2d3e7d1b3eee","sha256:403c84c8e8da92cd04abc6ab63e09809a67db1f19c105c467bb9171c11942e94"],"state_sha256":"14e68cc86d24a619dde38fb340fee5d73dd080541c6a454a900170223f65a7e6"}