Tail Asymptotics for the Busy Period in the GI/G/1 Queue
Mathematics of Operations Research
On the area swept under the occupation process of an M/M/1 queue in a busy period
Queueing Systems: Theory and Applications
Large Deviations of Square Root Insensitive Random Sums
Mathematics of Operations Research
Asymptotic analysis of Lévy-driven tandem queues
Queueing Systems: Theory and Applications
Control Techniques for Complex Networks
Control Techniques for Complex Networks
Most likely paths to error when estimating the mean of a reflected random walk
Performance Evaluation
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The areas under the workload process and under the queueing process in a single-server queue over the busy period have many applications not only in queueing theory but also in risk theory or percolation theory. We focus here on the tail behaviour of distribution of these two integrals. We present various open problems and conjectures, which are supported by partial results for some special cases.