Discrete-Time Models for Communication Systems Including ATM
Discrete-Time Models for Communication Systems Including ATM
Queue length and waiting time of the M/G/1 queue under the D-policy and multiple vacations
Queueing Systems: Theory and Applications
Queueing networks with discrete time scale: explicit expressions for the steady state behavior of discrete time stochastic networks
Analysis of discrete-time MAP/G/1 queue under workload control
Performance Evaluation
A unified framework for the analysis of m/g/1 queue controlled by workload
ICCSA'06 Proceedings of the 2006 international conference on Computational Science and Its Applications - Volume Part III
A mean value formula for the M/G/1 queues controlled by workload
Operations Research Letters
A note on the optimality of the N- and D-policies for the M/G/1 queue
Operations Research Letters
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In this paper, we present a theoretical and analytical framework to analyze the discrete-time queue in which the on-off of the server is controlled by workload threshold. For this purpose, we consider the discrete-time Geo/G/1 queue under the D-policy. We derive the queue length, waiting time, sojourn time distributions and the mean performance measures. We then perform numerical computations to see the effect of the threshold and the variability of the service time distributions on the system performance. We will also see if our discrete-time results can approximate the continuous-time M/G/1/D-policy queueing system. The approach of this paper can be used as a basis for the analysis of more complex queueing systems in which the server is controlled by workload.