Continuous MMAPs to model complex multi-state systems with vacation in the repair facility

J. E. Ruiz Castro, C. J. Acal González, M. Dawabsha

Marked Markovian Arrival Processes are used to model continuous-time complex systems with and without preventive maintenance in an algorithmic and computational way. The internal performance of the system is composed of different degradation levels and internal repairable and non-repairable failures can occur. The repairperson may perform two types of tasks, corrective repair and preventive maintenance. The system is also subject to external shocks that may provoke repairable or non-repairable failure. A multiple vacation policy is introduced in the Repair facility. Transient and stationary distributions are built and different performance measures are calculated. Costs and rewards are included in the model and a numerical example shows that the system can be optimized according to the existence of preventive maintenance and the distribution of vacation time. The results have been implemented computationally with Matlab and R.

Keywords: MMAP, Phase-type distribution, Preventive maintenance, vacation policy

Scheduled

Stochastic processes
June 9, 2022  10:10 AM
A11

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