{"id":"W1487084994","doi":"10.1002/0471643505.ch3","title":"Application of Birth and Death Processes to Queueing Theory","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":"Queueing theory; Poisson distribution; Exponential distribution; Computer science; Layered queueing network; Birth–death process; Probability theory; Process (computing); Applied mathematics; Mathematics; Statistics; 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":[0.0001787185,0.0001748946,0.0002505153,0.000468414,0.00003502068,0.00004078111,0.0001595182,0.00008077409,0.0005770409],"category_scores_gemma":[0.0001308088,0.0001491624,0.00003087067,0.0004867465,0.00002828795,0.000162206,0.0001045067,0.0000527365,0.0001194071],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001298118,"about_ca_system_score_gemma":0.00001664383,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006303633,"about_ca_topic_score_gemma":0.0004729878,"domain_scores_codex":[0.9993218,0.000005092776,0.0001551572,0.0002843254,0.0001132897,0.0001203104],"domain_scores_gemma":[0.99939,0.00003293855,0.0002628276,0.0002366153,0.00006931707,0.000008316457],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.00003363751,0.00004770785,0.001290415,0.002628859,0.0001060457,0.000001486314,0.00003036077,0.0007221752,0.000102493,0.9767774,0.002938367,0.01532106],"study_design_scores_gemma":[0.0002553854,0.000007236893,0.000100036,0.0005744248,0.0002339471,6.430436e-7,0.0001719688,0.0002264192,0.0001421545,0.2268218,0.7709588,0.0005071336],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.0002920076,0.0004566104,0.2529552,0.00009095646,0.00002605348,0.0003919779,0.000003251216,0.000352502,0.7454314],"genre_scores_gemma":[0.288866,0.0001125927,0.008890496,0.002378959,0.001595258,0.0001424359,0.00006224743,0.000813665,0.6971384],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.7680205,"threshold_uncertainty_score":0.6318194,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.006881425613026296,"score_gpt":0.228675700342485,"score_spread":0.2217942747294587,"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."}}