{"id":"W2141360295","doi":"10.1007/s00199-008-0420-2","title":"Optimal partition of a large labor force into working pairs","year":2008,"lang":"en","type":"article","venue":"Economic Theory","topic":"Optimization and Variational Analysis","field":"Computer Science","cited_by":13,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Uniqueness; Productivity; Wage; Workforce; Computer science; Extension (predicate logic); Partition (number theory); Pairing; Economics; Linear programming; Mathematical economics; Microeconomics; Labour economics; Mathematics; Mathematical optimization; Economic growth","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":[0.0006877034,0.0007813259,0.001378921,0.0006484694,0.0008454436,0.00162999,0.001346368,0.001092135,0.01063706],"category_scores_gemma":[0.003432203,0.000647328,0.0004298261,0.0005546668,0.001278242,0.001798296,0.001858004,0.000946268,0.00157585],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006952838,"about_ca_system_score_gemma":0.0008642693,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001568964,"about_ca_topic_score_gemma":0.001463322,"domain_scores_codex":[0.9996117,0.000139203,0.00001079889,0.00009117934,0.00002597704,0.0001211033],"domain_scores_gemma":[0.9985555,0.0007568793,0.00009683851,0.0001874728,0.00009288591,0.000310468],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.004799698,0.001245012,0.007983093,0.0005522509,0.0002065115,0.000364,0.001838425,0.3501389,0.0136557,0.2965128,0.04128528,0.2814184],"study_design_scores_gemma":[0.00055164,0.0003747146,0.004359724,0.00007881298,0.00006040795,0.0000817984,0.001150989,0.5486535,0.002133475,0.4376483,0.00487379,0.00003287138],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6171106,0.0006625603,0.3522237,0.002562707,0.0001353703,0.0001814948,0.001029044,0.0003623854,0.02573227],"genre_scores_gemma":[0.9467945,0.0002492991,0.04036837,0.0002309403,0.0001046522,0.000331463,0.0005213055,0.0001319627,0.01126747],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01063706,"threshold_uncertainty_score":0.03558457,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01032401099161992,"score_gpt":0.2198280512715203,"score_spread":0.2095040402799004,"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."}}