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Reliability of a system under two types of failures using a Markovian arrival process
Authors:Delia Montoro-Cazorla
Affiliation:a Departamento Estadística e I.O., Escuela Universitaria Politécnica de Linares, Universidad de Jaén, 23700 Linares (Jaén), Spain
b Departamento Estadística e I.O., Universidad de Granada, 18071 Granada, Spain
Abstract:
We consider a system subject to external and internal failures. The operational time has a phase-type distribution (PH-distribution). Failures arrive following a Markovian arrival process (MAP). Some failures require the replacement of the system, and others a minimal repair. This model extends previous papers with arrivals governed by PH-renewal processes.
Keywords:Primary 90B25   secondary 62N05
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