Abstract
Next to the distribution of the (stationary and transient) workload, in queueing theory much attention is paid to the analysis of the distribution of the busy period. The question addressed in this chapter is, given the workload is in stationarity at time 0, how long does it take for the queue to idle? Explicit results in terms of Laplace transforms are presented. The last part of this chapter addresses the distribution of the minimal value attained by the workload process in an interval of given length.
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Dębicki, K., Mandjes, M. (2015). Busy Period. In: Queues and Lévy Fluctuation Theory. Universitext. Springer, Cham. https://doi.org/10.1007/978-3-319-20693-6_6
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DOI: https://doi.org/10.1007/978-3-319-20693-6_6
Publisher Name: Springer, Cham
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