{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002346731,0.0007479503,0.0008466856,0.001416523,0.001290773,0.002559372,0.001399401,0.001505272,0.005365808],"category_scores_gemma":[0.005495127,0.0004582773,0.001127713,0.001623297,0.002933646,0.003116246,0.002167129,0.00388112,0.001074711],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00329574,"about_ca_system_score_gemma":0.0019557,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003335461,"about_ca_topic_score_gemma":0.00166887,"domain_scores_codex":[0.9983268,0.00060407,0.00008546554,0.0002061224,0.0006496777,0.0001277867],"domain_scores_gemma":[0.9985078,0.0009484523,0.00007242639,0.0001557941,0.0002360738,0.00007952745],"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":[0.000001727754,0.000006137172,0.00006317561,0.00002420163,0.000004550054,0.00004944544,0.00008644666,0.004033142,0.00008636565,0.9887737,0.001102174,0.005768992],"study_design_scores_gemma":[0.000003246047,0.000007615363,0.00007066996,0.00002623711,0.000003759559,0.00006592481,0.00003178083,0.02449366,0.00009574665,0.9559741,0.01922019,0.000007004918],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.006102519,0.01434633,0.8491243,0.007725423,0.001924014,0.00009300039,0.0001196147,0.0001991986,0.1203655],"genre_scores_gemma":[0.5135177,0.04472564,0.3478263,0.003793901,0.005573445,0.0004562286,0.0002433347,0.0002344903,0.08362893],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.005365808,"threshold_uncertainty_score":0.02391231,"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."}}