An M/G/1 queue with second optional service
Queueing Systems: Theory and Applications
Reliability Analysis of the Retrial Queue with Server Breakdowns and Repairs
Queueing Systems: Theory and Applications
A discrete-time Geo/G/1 retrial queue with starting failures and second optional service
Computers & Mathematics with Applications
The well-posedness of an M/G/1 queue with second optional service and server breakdown
Computers & Mathematics with Applications
The N-policy for an unreliable server with delaying repair and two phases of service
Journal of Computational and Applied Mathematics
A repairable queueing model with two-phase service, start-up times and retrial customers
Computers and Operations Research
A batch arrival retrial queueing system with two phases of service and service interruption
Computers & Mathematics with Applications
Journal of Computational and Applied Mathematics
The variant vacation policy Geo/G/1 queue with server breakdowns
Proceedings of the 5th International Conference on Queueing Theory and Network Applications
Journal of Computational and Applied Mathematics
Comparative analysis of a randomized N-policy queue: An improved maximum entropy method
Expert Systems with Applications: An International Journal
Approximation in an M/G/1 queueing system with breakdowns and repairs
VECoS'07 Proceedings of the First international conference on Verification and Evaluation of Computer and Communication Systems
An M/Ek/1 queueing system with no damage service interruptions
Mathematical and Computer Modelling: An International Journal
A queue with working breakdowns
Computers and Industrial Engineering
Analysis of an infinite multi-server queue with an optional service
Computers and Industrial Engineering
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An M/G/1 with second optional service and unreliable server is studied in this paper. We assume that customers arrive to the system according to a Poisson process with rate @l. All demand the first ''essential'' service, whereas only some of them demand the second ''optional'' service. The service times of the first essential service are i.i.d. random variables, and that of the second optional service are i.i.d. exponential random variables. We assume that the server has a service-phase dependent, exponentially distributed life time as well as a service-phase dependent, generally distributed repair time. Using a supplementary variable method, we obtain the transient and the steady-state solutions for both queueing and reliability measures of interest.