{"id":"W2022954527","doi":"10.1007/s11590-006-0024-3","title":"Disjunctive cuts for continuous linear bilevel programming","year":2006,"lang":"en","type":"article","venue":"Optimization Letters","topic":"Optimization and Variational Analysis","field":"Computer Science","cited_by":42,"is_retracted":false,"has_abstract":false,"ca_institutions":"Polytechnique Montréal; Group for Research in Decision Analysis","funders":"Air Force Office of Scientific Research","keywords":"Bilevel optimization; Linear programming; Duality (order theory); Relaxation (psychology); Mathematical optimization; Computational intelligence; Computer science; Mathematics; Linear programming relaxation; Domain (mathematical analysis); Optimization problem; Artificial intelligence; Discrete mathematics","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003497407,0.001452218,0.001862818,0.001114312,0.0008230382,0.003253435,0.002223808,0.001743192,0.006783388],"category_scores_gemma":[0.01085009,0.001534578,0.00108616,0.001805843,0.002282993,0.003757755,0.00290828,0.007048244,0.0007293087],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001761192,"about_ca_system_score_gemma":0.001054904,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002296203,"about_ca_topic_score_gemma":0.002778632,"domain_scores_codex":[0.998162,0.0007120977,0.00008676333,0.0003157098,0.0005889607,0.0001345341],"domain_scores_gemma":[0.9961091,0.002936443,0.0001760461,0.000226223,0.0003835169,0.0001686214],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0002399794,0.0001395796,0.0003154601,0.0004587796,0.00009607083,0.00009451268,0.0002449602,0.2001276,0.001895289,0.6764548,0.006601195,0.1133318],"study_design_scores_gemma":[0.00003929277,0.00004309652,0.0001044579,0.00005330751,0.00002279661,0.00003767055,0.00003614704,0.4817083,0.000473349,0.5135915,0.0038752,0.00001484186],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.004780984,0.0005554502,0.9894339,0.0002472463,0.00006184967,0.00003886335,0.00009754307,0.00009597387,0.004688151],"genre_scores_gemma":[0.195906,0.001116255,0.7905862,0.0002950886,0.000237282,0.0004680306,0.0008000635,0.000390322,0.0102008],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006783388,"threshold_uncertainty_score":0.02269274,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.007874505805032505,"score_gpt":0.2197209345693394,"score_spread":0.2118464287643069,"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."}}