{"id":"W2892240799","doi":"10.1051/ps/2021018","title":"Exact tail asymptotics for a three-dimensional Brownian-driven tandem queue with intermediate inputs","year":2021,"lang":"en","type":"article","venue":"ESAIM Probability and Statistics","topic":"Advanced Queuing Theory Analysis","field":"Business, Management and Accounting","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"Carleton University","funders":"Natural Sciences and Engineering Research Council of Canada; Natural Science Foundation of Shandong Province; China Scholarship Council","keywords":"Mathematics; Semimartingale; Stationary distribution; Brownian motion; Reflected Brownian motion; Heavy traffic approximation; Copula (linguistics); Queue; Joint probability distribution; Mathematical analysis; Statistical physics; Geometric Brownian motion; Diffusion process; Physics; Markov chain; Computer science; Statistics","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":[0.002347317,0.0006491801,0.0008045714,0.00110732,0.0004848866,0.0013033,0.001765143,0.001094493,0.003462038],"category_scores_gemma":[0.009968961,0.0003454792,0.0009369378,0.000877212,0.002009988,0.003129888,0.001587915,0.002037677,0.0005053906],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00161591,"about_ca_system_score_gemma":0.00134672,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003765778,"about_ca_topic_score_gemma":0.002233797,"domain_scores_codex":[0.999406,0.0001439912,0.00002674823,0.00008749487,0.000208674,0.0001269599],"domain_scores_gemma":[0.9968899,0.001616151,0.0004327641,0.0002028824,0.0005911124,0.0002671497],"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":[0.0001531089,0.0001266871,0.003347229,0.0001460901,0.00007304364,0.0006926709,0.0004060839,0.3597226,0.00882542,0.6118691,0.001345575,0.01329235],"study_design_scores_gemma":[0.00001194943,0.00002704288,0.0005663155,0.00001523158,0.000011125,0.00008699447,0.0000576395,0.9114145,0.0007051376,0.08680693,0.000274767,0.00002240072],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1587585,0.0006117271,0.8334565,0.000444345,0.00006764524,0.00003717713,0.0001269002,0.0003706698,0.006126585],"genre_scores_gemma":[0.9612662,0.0005238836,0.0328665,0.0001488608,0.00006499291,0.00007729125,0.0001837796,0.00009776038,0.004770804],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.003765778,"threshold_uncertainty_score":0.01241398,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01652287297700471,"score_gpt":0.233317741075398,"score_spread":0.2167948680983933,"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."}}