{"id":"W2047498382","doi":"10.1016/j.apm.2008.08.006","title":"An M/G/1 queue with two phases of service subject to the server breakdown and delayed repair","year":2008,"lang":"en","type":"article","venue":"Applied Mathematical Modelling","topic":"Advanced Queuing Theory Analysis","field":"Business, Management and Accounting","cited_by":76,"is_retracted":false,"has_abstract":false,"ca_institutions":"Polytechnique Montréal","funders":"","keywords":"Queue; Generalization; Joint probability distribution; Mathematics; Reliability (semiconductor); Computer science; State (computer science); Burke's theorem; Laplace transform; Applied mathematics; Algorithm; Statistics; Fork–join queue; Queue management system; Mathematical analysis; Computer network; Physics","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":[0.003070863,0.001411098,0.002446281,0.00152484,0.002342099,0.003838421,0.003386412,0.004455595,0.004316296],"category_scores_gemma":[0.006516572,0.00100951,0.0008198801,0.00231749,0.001879469,0.002308461,0.001658187,0.002141127,0.0005367116],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.004132262,"about_ca_system_score_gemma":0.002988853,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.01369372,"about_ca_topic_score_gemma":0.009491347,"domain_scores_codex":[0.9984539,0.0003700642,0.00007022741,0.0003291858,0.0002845334,0.0004920508],"domain_scores_gemma":[0.9964328,0.00171786,0.0005309841,0.0001456617,0.0006276213,0.0005450035],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.002291354,0.0005281921,0.004734839,0.0006303033,0.0001711013,0.004296863,0.0006697014,0.7602827,0.01493399,0.1904695,0.00852606,0.0124654],"study_design_scores_gemma":[0.000169495,0.000178265,0.000695153,0.00001669019,0.00007369655,0.0002181748,0.00008779226,0.9814357,0.0009112603,0.01554972,0.0006143416,0.00004979853],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5545959,0.001889632,0.4194632,0.006592797,0.001152463,0.0004819158,0.001737501,0.0009502409,0.01313645],"genre_scores_gemma":[0.9716466,0.0004341365,0.01808826,0.0004161635,0.0004009768,0.00009206314,0.000208353,0.00005602859,0.008657324],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01369372,"threshold_uncertainty_score":0.02998173,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02260487370844676,"score_gpt":0.2387461632211172,"score_spread":0.2161412895126704,"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."}}