M/G/1 queue with system disasters and impatient customers when system is down
A queueing system of type $M/G/1$ 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, rate of lost customers due to disasters and rate of abandonments due to impatience are
obtained in the article.
Keywords: queueing systems, unreliable system, impatient customers, equilibrium probabilities,
rate of lost customers, queueing systems with breakdowns.