Analysis of an infinite buffer system with random server interruptions
Computers and Operations Research
Queueing systems with service interruptions
Operations Research
A two-queue, one-server model with priority for the longer queue
Queueing Systems: Theory and Applications
Analysis of the M/GI/1:2WZ./M/1 queueing model
Queueing Systems: Theory and Applications
A queue with service interruptions in an alternating random environment
Operations Research
Design and analysis of a congestion-free overlay on a high-speed network
IEEE/ACM Transactions on Networking (TON)
A single server queue with service interruptions
Queueing Systems: Theory and Applications
Sojourn times in a processor sharing queue with service interruptions
Queueing Systems: Theory and Applications
Performance analysis of an M/G/1 satellite node with urgent jobs of a central processing node
Proceedings of the 4th International Conference on Queueing Theory and Network Applications
The preemptive repeat hybrid server interruption model
ASMTA'10 Proceedings of the 17th international conference on Analytical and stochastic modeling techniques and applications
Performance analysis of priority queueing systems in discrete time
Network performance engineering
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In this paper we analyze a discrete-time single server queue where the service time equals one slot. The numbers of arrivals in each slot are assumed to be independent and identically distributed random variables. The service process is interrupted by a semi-Markov process, namely in certain states the server is available for service while the server is not available in other states. We analyze both the transient and steady-state models. We study the generating function of the joint probability of queue length, the state and the residual sojourn time of the semi-Markov process. We derive a system of Hilbert boundary value problems for the generating functions. The system of Hilbert boundary value problems is converted to a system of Fredholm integral equations. We show that the system of Fredholm integral equations has a unique solution.