The paper deals with modelling a finite single-server queuing system with the
server subject to disasters. Inter-arrival times and service times are assumed to follow the
Erlang distribution defined by the shape parameter r or s and the scale parameter rλ or sμ
respectively. We consider two modifications of the model − server failures are supposed to
be operate-independent or operate-dependent. Server failures which have the character of
so-called disasters cause interruption of customer service, emptying the system and balking
incoming customers when the server is down. We assume that random variables relevant to
server failures and repairs are exponentially distributed. The constructed mathematical
model is solved using Matlab to obtain steady-state probabilities which we need to compute
the performance measures. At the conclusion of the paper some results of executed
experiments are shown.Web of Science12215814
