Queueing systems with vacations—a survey
Queueing Systems: Theory and Applications
Queueing modeling of a single processor with failures
Performance Evaluation
Performance of discrete-time queueing systems
Computers and Operations Research
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
Randomly timed gated queueing systems
SIAM Journal on Applied Mathematics
Research: Analysis of a time-limited polling system
Computer Communications
Discrete-time GeoX/G/1 queue with unreliable server and multiple adaptive delayed vacations
Journal of Computational and Applied Mathematics
Steady-state analysis of a discrete-time batch arrival queue with working vacations
Performance Evaluation
Discrete-time GeoX/G(a,b)/1/N queues with single and multiple vacations
Mathematical and Computer Modelling: An International Journal
Level-crossing approach to a time-limited service system with two types of vacations
Operations Research Letters
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We consider a discrete-time GI-G-1 queueing system with server vacations. Vacations occur whenever the queue becomes empty or whenever a timer expires. When the timer expires one of the following four actions are considered: the server completes transmission of the present packet before leaving for a vacation, the service immediately leaves for a vacation and the interrupted packet's service is either continued, repeated or resampled and repeated after the vacation. Using a probability generating functions approach, we derive various performance measures such as moments of the buffer contents at various time epochs in equilibrium and moments of the packet delay in equilibrium. By means of an example, we then compare the operation modes under consideration.