{"id":"W2090405113","doi":"10.1239/jap/1197908829","title":"Tail Asymptotics for the Queue Size Distribution in an M/G/1 Retrial Queue","year":2007,"lang":"en","type":"article","venue":"Journal of Applied Probability","topic":"Advanced Queuing Theory Analysis","field":"Business, Management and Accounting","cited_by":35,"is_retracted":false,"has_abstract":true,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Burke's theorem; Retrial queue; Queue; Exponential distribution; Exponential function; Generating function; Distribution (mathematics); Combinatorics; Discrete mathematics; Applied mathematics; Mathematical analysis; Queueing theory; Statistics; Queueing system; Fork–join queue; Queue management system; Computer science","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":[0.002847685,0.0009011303,0.0007895047,0.001546281,0.0005236981,0.001361617,0.001680139,0.001290518,0.002724526],"category_scores_gemma":[0.0196715,0.0004754127,0.0006519007,0.0007688261,0.001965906,0.002522544,0.00128381,0.00240602,0.0005381875],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002029647,"about_ca_system_score_gemma":0.0008988125,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.004818724,"about_ca_topic_score_gemma":0.001688793,"domain_scores_codex":[0.9993675,0.0001900913,0.00001836242,0.00009044276,0.0001929077,0.0001406848],"domain_scores_gemma":[0.9937136,0.003897982,0.0008421332,0.0004218884,0.0007971924,0.0003272099],"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":[0.0005668384,0.0002048657,0.009729502,0.0002943874,0.0000777439,0.001664254,0.001346993,0.3778818,0.02681198,0.553548,0.003949978,0.02392358],"study_design_scores_gemma":[0.00002845646,0.00006359704,0.002313999,0.00002985416,0.00002195844,0.0002235444,0.00008990921,0.9399323,0.001447212,0.05536132,0.0004483956,0.00003947528],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4878128,0.00201559,0.4910316,0.002250723,0.000166974,0.00008499489,0.0002219851,0.001383044,0.01503231],"genre_scores_gemma":[0.9863026,0.0005257573,0.009603729,0.0001693369,0.0001446132,0.00004798362,0.00008143488,0.0001286971,0.002995828],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004818724,"threshold_uncertainty_score":0.01506019,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01918422498294848,"score_gpt":0.2619625526354869,"score_spread":0.2427783276525384,"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."}}