{"id":"W2029049650","doi":"10.1016/j.ejor.2007.01.054","title":"Solving circle packing problems by global optimization: Numerical results and industrial applications","year":2007,"lang":"en","type":"article","venue":"European Journal of Operational Research","topic":"Optimization and Packing Problems","field":"Engineering","cited_by":215,"is_retracted":false,"has_abstract":false,"ca_institutions":"Wilfrid Laurier University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Circle packing; Rectangle; Packing problems; Container (type theory); Heuristic; Mathematical optimization; Global optimization; Computer science; Set packing; Work (physics); Mathematics; Combinatorics; Geometry; Engineering; Mechanical engineering","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002288688,0.001496621,0.002159904,0.001551784,0.001009292,0.001530688,0.001009919,0.002973553,0.004043082],"category_scores_gemma":[0.008170557,0.0008286542,0.001138772,0.003175569,0.001660617,0.002135972,0.001186076,0.001394404,0.000452593],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008151306,"about_ca_system_score_gemma":0.0007508816,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.004928314,"about_ca_topic_score_gemma":0.003095678,"domain_scores_codex":[0.9991973,0.0004043184,0.00003012327,0.00008670658,0.0002072615,0.00007426747],"domain_scores_gemma":[0.9932154,0.005539591,0.0002713137,0.0003518969,0.0005145399,0.0001073212],"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":[0.0001074314,0.0000622254,0.00024363,0.0001154952,0.00002159303,0.00002613732,0.00006429801,0.9674754,0.0006909333,0.009277369,0.0008670857,0.0210484],"study_design_scores_gemma":[0.00001182811,0.00002874025,0.00007914774,0.000005557499,0.000007055618,0.000009645873,0.00001417991,0.9957048,0.0004998952,0.003373653,0.000260182,0.000005212161],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1629211,0.00416053,0.8096317,0.0006025602,0.0001910787,0.00009194262,0.0001370642,0.0004998751,0.02176426],"genre_scores_gemma":[0.6680851,0.001560792,0.3245576,0.000111094,0.000114584,0.0002186179,0.0002060502,0.0003230049,0.004823097],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004928314,"threshold_uncertainty_score":0.01352543,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06645379157372057,"score_gpt":0.3199350637391034,"score_spread":0.2534812721653829,"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."}}