A complex multi-state system with vacations in the repair
Metadatos
Mostrar el registro completo del ítemAutor
Ruiz Castro, Juan EloyEditorial
Science Publications
Materia
Phase-Type Distribution Preventive Maintenance Optimal Vacation Time
Fecha
2019-09-04Referencia bibliográfica
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
Patrocinador
Junta de Andalucía, Spain, FQM-307; Ministerio de Economía y Competitividad, España, under Grant MTM2017−88708−P; European Regional Development Fund (ERDF)Resumen
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.