{"id":"W2177526080","doi":"10.1016/j.peva.2015.11.001","title":"An alternative method for computing system-length distributions of BMAP/R/1 and BMAP/D/1 queues using roots","year":2015,"lang":"en","type":"article","venue":"Performance Evaluation","topic":"Advanced Queuing Theory Analysis","field":"Business, Management and Accounting","cited_by":18,"is_retracted":false,"has_abstract":false,"ca_institutions":"Royal Military College of Canada","funders":"Natural Sciences and Engineering Research Council of Canada; Department of Science and Technology, Ministry of Science and Technology, India","keywords":"Mathematics; Markovian arrival process; Applied mathematics; Phase-type distribution; Laplace transform; Matrix (chemical analysis); Computation; Exponential function; Mathematical analysis; Algorithm; Queueing theory; Exponential distribution; 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":[0.001690175,0.00115278,0.001199695,0.002400359,0.001073409,0.001591835,0.002898622,0.001398217,0.006163148],"category_scores_gemma":[0.01037403,0.0006964921,0.000780825,0.002472899,0.0007315337,0.002674014,0.001117133,0.002435539,0.001954155],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002015578,"about_ca_system_score_gemma":0.002596871,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0146353,"about_ca_topic_score_gemma":0.01411096,"domain_scores_codex":[0.9988172,0.0002540419,0.00007051119,0.0002007982,0.0005314995,0.0001260293],"domain_scores_gemma":[0.9969411,0.001166914,0.0002390997,0.0005075923,0.001011856,0.0001333125],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0005558875,0.0004860417,0.005997926,0.0003725353,0.0002571448,0.0001968725,0.0006260809,0.3961318,0.03791286,0.1186711,0.006291628,0.4325],"study_design_scores_gemma":[0.00003314027,0.0000415317,0.0005234868,0.00001090464,0.00001678112,0.00004635539,0.00002757767,0.9846849,0.005263821,0.007527481,0.001789557,0.00003446322],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.007516861,0.00004583028,0.9896624,0.00004181348,0.00004065068,0.00004554076,0.00008699381,0.001780773,0.000779231],"genre_scores_gemma":[0.1430857,0.00008294818,0.8522241,0.00008642093,0.00003968012,0.0001924128,0.0002614628,0.0005974736,0.003429823],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.0146353,"threshold_uncertainty_score":0.02910024,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07553246955462467,"score_gpt":0.3743877055334124,"score_spread":0.2988552359787878,"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."}}