Queueing systems with vacations—a survey
Queueing Systems: Theory and Applications
Queueing systems with service interruptions
Operations Research
One-dependent regenerative processes and queues
Mathematics of Operations Research
An approximate analysis of a cyclic server queue with limited service and reservations
Queueing Systems: Theory and Applications - Polling models
Two vacation models for token-ring networks where service is controlled by timers
Performance '93 Proceedings of the 16th IFIP Working Group 7.3 international symposium on Computer performance modeling measurement and evaluation
Polling systems with server timeouts and their application to token passing networks
IEEE/ACM Transactions on Networking (TON)
Analysis of an M/G/1/N queue with vacations and its iterative application to FDDI timed-token rings
IEEE/ACM Transactions on Networking (TON)
Analysis of a single server queue with semi-Markovian service interruption
Queueing Systems: Theory and Applications
The tightness in the ergodic analysis of regenerative queueing processes
Queueing Systems: Theory and Applications
Sojourn times in a processor sharing queue with service interruptions
Queueing Systems: Theory and Applications
Analysis of a discrete-time GI-G-1 queueing model subjected to bursty interruptions
Computers and Operations Research
Iterative approximation of k-limited polling systems
Queueing Systems: Theory and Applications
A multiserver retrial queue: regenerative stability analysis
Queueing Systems: Theory and Applications
Expected waiting time in symmetric polling systems with correlated walking times
Queueing Systems: Theory and Applications
Research: Analysis of a time-limited polling system
Computer Communications
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For many queueing systems, the server is not continuously available. Service interruptions may result from repair times after server failures, planned maintenance periods or periods during which customers from other queues are being served. These service interruptions cause an overall performance degradation which is most striking when interruptions can start while a customer is being served and his service has to start all over after the interruption. This is the so-called preemptive repeat service discipline. This paper investigates stability conditions for discrete-time queueing systems with preemptive server interruptions. Under renewal assumptions for arrival, service and interruption processes, sufficient conditions for the positive recurrence of the single-server and multiserver queueing processes are established for the preemptive repeat different and the preemptive resume service disciplines.