{"id":"W2085298416","doi":"10.1007/s10479-005-2036-2","title":"An Improved IP Formulation for the Uncapacitated Facility Location Problem: Capitalizing on Objective Function Structure","year":2005,"lang":"en","type":"article","venue":"Annals of Operations Research","topic":"Facility Location and Emergency Management","field":"Business, Management and Accounting","cited_by":9,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Facility location problem; Curse of dimensionality; Mathematical optimization; Theory of computation; Integer programming; Cover (algebra); 1-center problem; Set cover problem; Function (biology); Set (abstract data type); Mathematics; Computer science; Linear programming; Integer (computer science); Algorithm; Statistics","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":[0.001761196,0.001398799,0.001731464,0.0006578561,0.0003720139,0.00199647,0.002386809,0.001956443,0.0110201],"category_scores_gemma":[0.005276732,0.0008733798,0.0009639174,0.00139748,0.0006116664,0.002300824,0.001243221,0.002475033,0.001096716],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001246886,"about_ca_system_score_gemma":0.002125524,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.005348048,"about_ca_topic_score_gemma":0.006054095,"domain_scores_codex":[0.9993021,0.000301608,0.00003153708,0.0001159323,0.0001510783,0.0000976886],"domain_scores_gemma":[0.9980095,0.001278612,0.0001130302,0.0001340517,0.0003870547,0.00007776323],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00003882741,0.00006321182,0.0001363386,0.0001301578,0.00002101665,0.00008022839,0.00002558096,0.9549628,0.0003866614,0.01609416,0.005012255,0.02304874],"study_design_scores_gemma":[0.00001104786,0.00001467054,0.00003575348,0.000009938082,0.000007291577,0.00001519298,0.00000668102,0.9945115,0.00006983088,0.004552449,0.0007626298,0.00000306471],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.007652468,0.0004937722,0.9775782,0.000570981,0.0001756313,0.00009596514,0.000327258,0.0001863586,0.0129195],"genre_scores_gemma":[0.3010613,0.001049594,0.6794779,0.0004220819,0.0004690085,0.0005195696,0.0008306297,0.0003551086,0.01581485],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.0110201,"threshold_uncertainty_score":0.03686589,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1640319681460201,"score_gpt":0.3902864634662694,"score_spread":0.2262544953202493,"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."}}