Virtual waiting time in the single-server queuing system with unreliable server

The unreliable queuing system was considered both in the stationary and nonstationary modes. A Poisson flow of customers arrives to the system. The flow of stable failures makes up the renewal process, and the inter-failure intervals are distributed hyperexponentially. The times of customer servicing and renewal of the servicing system are distributed arbitrarily. The virtual waiting time was established.

Presented by the member of Editorial Board: V. V. Rykov