{"id":"W7116789795","doi":"10.1007/s10601-025-09382-1","title":"Solving logic-based benders decomposition master problems with constraint programming and domain-independent dynamic programming","year":2025,"lang":"en","type":"article","venue":"Constraints","topic":"Assembly Line Balancing Optimization","field":"Engineering","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Dynamic programming; Benders' decomposition; Constraint programming; Integer programming; Constraint (computer-aided design); Exploit; Set (abstract data type); Variable (mathematics); State (computer science)","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0002410129,0.0003065737,0.0002724967,0.0002208988,0.0001633059,0.0001986373,0.0001142818,0.000145723,0.00001952759],"category_scores_gemma":[0.00001664037,0.0002959556,0.00004637816,0.0002619495,0.0003245074,0.0001647182,0.00003448817,0.0002596159,0.000003593937],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000202978,"about_ca_system_score_gemma":0.0001105904,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000004225148,"about_ca_topic_score_gemma":0.00007205876,"domain_scores_codex":[0.9985471,0.00003652135,0.0003529961,0.0003837789,0.0001953247,0.0004842701],"domain_scores_gemma":[0.9994434,0.00007312751,0.00007900233,0.0002048339,0.00009379713,0.0001059004],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00008581984,0.000254317,0.03287663,0.002151847,0.0005531479,0.0001595244,0.001489031,0.305768,0.01320419,0.006038564,0.00004906921,0.6373698],"study_design_scores_gemma":[0.008459039,0.0004964894,0.01398645,0.004271533,0.0003708546,0.0003829057,0.005704729,0.957921,0.003077458,0.001775675,0.001317927,0.002235888],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.09958258,0.000180014,0.8955165,0.000214965,0.0001686678,0.001137727,0.000007473688,0.0006739792,0.002518045],"genre_scores_gemma":[0.8546693,0.000005751052,0.1450399,0.00006254337,0.00001310939,0.000104118,0.00005409393,0.00003598952,0.00001518968],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.7550867,"threshold_uncertainty_score":0.9999493,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.007320887997034605,"score_gpt":0.2277455770914777,"score_spread":0.2204246890944431,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}