Complex multi-state systems modelled through marked Markovian arrival processes Ruiz Castro, Juan Eloy Reliability Phase type distribution Marked Markovian Arrival Process (MMAP) Multi-state systems Markov modelling Complex multi-state warm standby systems subject to different types of failures and preventive maintenance are modelled by considering discrete marked Markovian arrival processes. The system is composed of K units, one online and the rest in warm standby and by an indefinite number of repairpersons, R. The online unit passes through several performance states, which are partitioned into two types: minor and major. This unit can fail due to wear or to external shock. In both cases of failures, the failure can be repairable or non-repairable. Warm standby units can only undergo repairable failures due to wear. Derived systems are modelled from the basic one according to the type of the failure; repairable or non-repairable, and preventive maintenance. When a unit undergoes a repairable failure, it goes to the repair facility for corrective repair, and if it is non-repairable, it is replaced by a new, identical one. Preventive maintenance is carried out in response to random inspections. When an inspection takes place, the online unit is observed and if the performance state is major, the unit is sent to the repair facility for preventive maintenance. 2022-01-11T08:31:58Z 2022-01-11T08:31:58Z 2016-02-15 info:eu-repo/semantics/article Juan Eloy Ruiz-Castro, Complex multi-state systems modelled through marked Markovian arrival processes, European Journal of Operational Research, Volume 252, Issue 3, 2016, Pages 852-865, ISSN 0377-2217, https://doi.org/10.1016/j.ejor.2016.02.007 http://hdl.handle.net/10481/72296 https://doi.org/10.1016/j.ejor.2016.02.007 eng http://creativecommons.org/licenses/by-nd/3.0/es/ info:eu-repo/semantics/embargoedAccess AtribuciĆ³n-SinDerivadas 3.0 EspaƱa Elsevier