TY  - JOUR
AU  - Ruiz-Castro, Juan Eloy 
PY  - 2019
TI  - A Complex Multi-State System with Vacations in the Repair
JF  - Journal of Mathematics and Statistics
VL  - 15
IS  - 1
DO  - 10.3844/jmssp.2019.225.232
UR  - https://thescipub.com/abstract/jmssp.2019.225.232
AB  - 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.