A complex multi-state k-out-of-n: G system with preventive maintenance and loss of units Ruiz Castro, Juan Eloy Multi-state k-out-of-n: G system Markovian arrival process with marked arrivals Preventive maintenance Loss of units In this study, a multi-state k-out-of-n: G system subject to multiple events is modeled through a Markovian Arrival Process with marked arrivals. The system is composed initially of n units and is active when at least k units are operational. Each unit is multi-state, each of which is classified as minor or major according to the level of degradation presented. Each operational unit may undergo internal repairable or non-repairable failures, external shocks and/or random inspections. An external shock can provoke extreme failure, while cumulative external damage can deteriorate internal performance. This situation can produce repairable and non-repairable failures. When a repairable failure occurs the unit is sent to a repair facility for corrective repair. If the failure is non-repairable, the unit is removed. When the system has insufficient units with which to operate, it is restarted. Preventive maintenance is employed in response to random inspection. The system is modeled in an algorithmic and computational form. Several interesting measures of performance are considered. Costs and rewards are included in the system. All measures are obtained for transient and stationary regimes. A numerical example is analyzed to determine whether preventive maintenance is profitable, financially and in terms of performance. 2021-06-11T08:55:23Z 2021-06-11T08:55:23Z 2020-01-07 info:eu-repo/semantics/article Juan Eloy Ruiz-Castro, A complex multi-state k-out-of-n: G system with preventive maintenance and loss of units, Reliability Engineering & System Safety, Volume 197, 2020, 106797, ISSN 0951-8320, https://doi.org/10.1016/j.ress.2020.106797 http://hdl.handle.net/10481/69125 https://doi.org/10.1016/j.ress.2020.106797 eng info:eu-repo/semantics/embargoedAccess Elsevier