{"id":"W2027036374","doi":"10.1239/jap/1101840557","title":"Pair formation in a Markovian arrival process with two event labels","year":2004,"lang":"en","type":"article","venue":"Journal of Applied Probability","topic":"Advanced Queuing Theory Analysis","field":"Business, Management and Accounting","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Manitoba","funders":"","keywords":"Markovian arrival process; Point process; Mathematics; Markov process; Event (particle physics); Process (computing); Poisson distribution; Cox process; Stochastic process; Compound Poisson process; Markov renewal process; Markov chain; Security token; Poisson point process; Rare events; Renewal theory; Time reversibility; Poisson process; Statistical physics; Statistics; Computer science; Variable-order Markov model; Markov model; Computer network","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00135887,0.0001493489,0.0002956784,0.0002280778,0.00007516155,0.00007185191,0.0002234274,0.0000381556,0.00003320687],"category_scores_gemma":[0.00009067001,0.0001113174,0.00007601533,0.0006624233,0.00006122182,0.001350362,0.00004026598,0.0002629883,0.00001217761],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002112125,"about_ca_system_score_gemma":0.00004823214,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001412832,"about_ca_topic_score_gemma":0.000174213,"domain_scores_codex":[0.9986819,0.00001296054,0.0005821185,0.000164425,0.0003485335,0.0002100587],"domain_scores_gemma":[0.9987752,0.00002834334,0.0007502553,0.0001857016,0.0002418811,0.00001864396],"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":[0.003788281,0.001274749,0.01657553,0.001121931,0.0001181188,0.00007012935,0.001287958,0.8822112,0.001171914,0.07851092,0.0000319449,0.01383732],"study_design_scores_gemma":[0.003454588,0.00005180411,0.003452314,0.0002034578,0.0001112095,0.00002224862,0.0006477712,0.001692984,0.001743242,0.9878405,0.0005092685,0.0002706425],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9892301,0.000009188637,0.007723963,0.0007411661,0.00004492808,0.000317898,4.117337e-7,0.00002892164,0.001903445],"genre_scores_gemma":[0.996518,7.32155e-7,0.002905726,0.0003191058,0.000220116,0.00001666052,0.000002338658,0.00001320265,0.000004129354],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.9093295,"threshold_uncertainty_score":0.4539391,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.009928139260193062,"score_gpt":0.2365557139333344,"score_spread":0.2266275746731413,"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."}}