A semi-Markov model for an unreliable single-line loss queueing system with different restoration types

Resumo

We construct a semi-Markov model for a queueing system GI/G/1/0 with an unreliable server, where after the server’s failure it is subject to minimal emergency restoration, and after reaching certain total time of operation it is subject to complete maintenance with full restoration of its reliability characteristics. We define stationary reliability and economical system parameters and perform bicriterial optimization of the maintenance period.