"M/M/1 queueing system with non-reliable server and threshold-based recovery"
: Mathematical methods in reliability, Moscow, 2009
M/M/1 queueing system with non-reliable server and threshold-based recovery
Sprache des Titels:
Mathematical methods in reliability, Moscow
|In this paper we consider an M=M=1 queueing system with non-reliable server.
When the server is in normal state, the service error (or failure) occurs according to a Poisson
process. In the error state, the server needs to be repaired at a repair facility with exponen-
tial repair time according to the threshold policy. The repair starts only when the number of
customers in the system reaches some prespeci¯ed threshold level q>=1. We perform a steady-
state analysis of the continuous-time Markov chain describing the system behavior and calculate
optimal threshold level to minimize the long-run average losses given by the cost structure.