A complex multi-state system with vacations in the repair Ruiz Castro, Juan Eloy Phase-Type Distribution Preventive Maintenance Optimal Vacation Time A complex multi-state system subject to wear failure and given preventive maintenance is considered. Various internal levels of degradation are assumed. The repair facility is composed of a repairperson, who may take one or more vacations during the period considered. A policy is established for the repairperson’s vacation time. Two types of task may be performed by the repairperson: corrective repair and preventive maintenance. All embedded times in the system are phase type distributed. The transient and stationary distributions are determined and several reliability measures are developed in a matrix-algorithmic form. Costs and rewards are included in the model. The results are implemented computationally with Matlab. A numerical example shows that the distribution of vacation time can be optimised according to the net reward established. 2021-12-01T09:42:37Z 2021-12-01T09:42:37Z 2019-09-04 info:eu-repo/semantics/article Ruiz-Castro, J.E. (2019) A complex multi-state system with vacations in the repair. Journal of Mathematics and Statistics, 15, 225-232. DOI: 10.3844/jmssp.2019.225.232 http://hdl.handle.net/10481/71840 10.3844/jmssp.2019.225.232 eng http://creativecommons.org/licenses/by-nd/3.0/es/ info:eu-repo/semantics/openAccess Atribución-SinDerivadas 3.0 España Science Publications