{"id":"W1527454052","doi":"10.1002/0471643505.ch8","title":"The Matrix Geometric Techniques","year":2004,"lang":"en","type":"other","venue":"","topic":"Advanced Queuing Theory Analysis","field":"Business, Management and Accounting","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Concordia University","funders":"","keywords":"Markovian arrival process; Fluid queue; Markov chain; Laplace transform; Poisson distribution; Queueing theory; Computer science; Remainder; Applied mathematics; Markov process; Queue; Range (aeronautics); Continuous-time Markov chain; Algorithm; Mathematics; Markov property; Markov model; 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":[0.0008959686,0.001195642,0.0007326953,0.001833098,0.0009276382,0.001839738,0.001051561,0.00076146,0.01911162],"category_scores_gemma":[0.002674273,0.0003401557,0.001349067,0.001278747,0.001454732,0.002597462,0.001753319,0.003032984,0.006875929],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001170758,"about_ca_system_score_gemma":0.001099809,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002370239,"about_ca_topic_score_gemma":0.002423408,"domain_scores_codex":[0.9993685,0.000189267,0.00003057607,0.000114969,0.0002440134,0.00005265156],"domain_scores_gemma":[0.9993327,0.0002357503,0.00005497941,0.0001638973,0.0001752363,0.00003736327],"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":[0.000004027017,0.00001056504,0.00006981062,0.00004092577,0.00001017231,0.00002982779,0.00005769087,0.002479556,0.0003643558,0.9742076,0.006411253,0.01631417],"study_design_scores_gemma":[0.0000084556,0.0000228088,0.0001557615,0.00004278044,0.00001112251,0.0002188299,0.00003849111,0.03716839,0.0004840351,0.8612369,0.1005961,0.00001622615],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.003369075,0.006587285,0.8639856,0.00313636,0.00144596,0.00007772995,0.0003708102,0.0003360005,0.1206912],"genre_scores_gemma":[0.2203906,0.02050342,0.5971814,0.002358185,0.004348565,0.0005089375,0.0006378316,0.000643231,0.1534279],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.01911162,"threshold_uncertainty_score":0,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.007252416447096502,"score_gpt":0.2446337835469918,"score_spread":0.2373813670998953,"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."}}