{"id":"W2952496990","doi":"10.48550/arxiv.1403.1982","title":"On multiserver retrial queues: history, Okubo-type hypergeometric systems and matrix continued-fractions","year":2014,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Queuing Theory Analysis","field":"Business, Management and Accounting","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Carleton University","funders":"Academia Româna","keywords":"Mathematics; Generating function; Applied mathematics; Hypergeometric function; Hypergeometric distribution; Singularity; Taylor series; Matrix (chemical analysis); Markov chain; Pure mathematics; Mathematical analysis; 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":[0.001440591,0.0005694724,0.0006467224,0.001371012,0.0009834705,0.001976928,0.001043184,0.001172944,0.002488388],"category_scores_gemma":[0.005127276,0.0002975647,0.0006113558,0.001219771,0.001918144,0.002474395,0.001309157,0.001270576,0.0003614817],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002157264,"about_ca_system_score_gemma":0.0009913354,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.004266923,"about_ca_topic_score_gemma":0.002495492,"domain_scores_codex":[0.99958,0.0001493107,0.00001783126,0.00005083074,0.000109189,0.00009282554],"domain_scores_gemma":[0.9986128,0.0005866122,0.0003107797,0.00007896045,0.0001894044,0.0002214296],"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":[0.00001343033,0.00001365348,0.0005772874,0.00002176271,0.000005914851,0.0001415325,0.0001797162,0.0163615,0.0004402189,0.9796709,0.0005204381,0.002053659],"study_design_scores_gemma":[0.00002174763,0.00002361323,0.0004691148,0.00002927371,0.00000962415,0.0001164271,0.0001441929,0.3862815,0.0003602652,0.6098299,0.002688666,0.00002555106],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4589345,0.00425044,0.4816289,0.004603568,0.0003467909,0.00008988832,0.000207781,0.0001633533,0.04977488],"genre_scores_gemma":[0.9737498,0.001447322,0.01291472,0.0002137813,0.0002795868,0.00005910174,0.00006605517,0.00003189982,0.01123774],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004266923,"threshold_uncertainty_score":0.01565218,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05670044805399077,"score_gpt":0.1974848264570387,"score_spread":0.1407843784030479,"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."}}