Introduction to queueing theory (2nd ed)
Introduction to queueing theory (2nd ed)
Fluid queues and regular variation
Performance Evaluation
Long-tail buffer-content distributions in broadband networks
Performance Evaluation
Modelling extremal events: for insurance and finance
Modelling extremal events: for insurance and finance
Heavy Tails and Long Range Dependence in On/Off Processes and Associated Fluid Models
Mathematics of Operations Research
Appendix: A primer on heavy-tailed distributions
Queueing Systems: Theory and Applications
A MAP/G/1 Queue with Negative Customers
Queueing Systems: Theory and Applications
Tandem queues with subexponential service times and finite buffers
Queueing Systems: Theory and Applications
Tail asymptotics for M/G/1-type queueing processes with light-tailed increments
Operations Research Letters
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Bivariate regenerative Markov modulated queueing processes \{I_n,L_n\} are described. \{I_n\} is the phase process, and \{L_n\} is the level process. Increments in the level process have subexponential distributions. A general boundary behavior at the level 0 is allowed. The asymptotic tail of the cycle maximum, M_{C^{\mathrm{reg}}}, during a regenerative cycle, C^{\mathrm{reg}}, and the asymptotic tail of the stationary random variable L_\infty, respectively, of the level process are given and shown to be subexponential with L_{\infty} having the heavier tail.