Multiserver queues with finite capacity and setup time

T Phung-Duc - International Conference on Analytical and Stochastic …, 2015 - Springer
International Conference on Analytical and Stochastic Modeling Techniques and …, 2015Springer
Multiserver queues with setup time have been extensively studied because they have
application in modelling of power-saving data centers. Although the infinite buffer models
are extensively investigated, less attention has been paid to finite buffer models. This paper
considers an M/M/c/K queue with setup time for which we suggest a simple and numerically
stable recursion for the stationary distribution of the system state. Numerical experiments
show various insights into the performance of the system such as performance-energy …
Abstract
Multiserver queues with setup time have been extensively studied because they have application in modelling of power-saving data centers. Although the infinite buffer models are extensively investigated, less attention has been paid to finite buffer models. This paper considers an M/M// queue with setup time for which we suggest a simple and numerically stable recursion for the stationary distribution of the system state. Numerical experiments show various insights into the performance of the system such as performance-energy tradeoff as well as the effect of the capacity on the blocking probability and the mean queue length.
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