Система массового обслуживания с ненадежной линией и нетерпеливыми заявками

A queueing system of type M/M/1 with customers impatience is considered. The system as a whole suffers occasionally a disastrous breakdown, upon which all present customers are cleared from the system and lost. A repair process then starts immediately. The equilibrium probabilities of the system, expected number of customers in the system, proportion of customers served, mean sojourn time of a served customer are obtained in the article.