@article {10.3844/jmssp.2019.225.232,
article_type = {journal},
title = {A Complex Multi-State System with Vacations in the Repair},
author = {Ruiz-Castro, Juan Eloy},
volume = {15},
year = {2019},
month = {Sep},
pages = {225-232},
doi = {10.3844/jmssp.2019.225.232},
url = {https://thescipub.com/abstract/jmssp.2019.225.232},
abstract = {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.},
journal = {Journal of Mathematics and Statistics},
publisher = {Science Publications}
}