In queueing theory, a discipline within the mathematical theory of probability, the Pollaczek–Khinchine formula states a relationship between the… (More)

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2016

2016

- Jian Zhang, Tony T. Lee, Tong Ye, Weisheng Hu
- ArXiv
- 2016

The performance analysis of peer-to-peer (P2P) networks calls for a new kind of queueing model, in which jobs and service… (More)

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2016

2016

- Fuad Shamieh, Auon Muhammad Akhtar, Xianbin Wang
- 2016 IEEE Canadian Conference on Electrical and…
- 2016

Data networks are experiencing an unprecedented growth in traffic resulting in a multitude of challenges including high network… (More)

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2014

2014

- Robert O. Bauer
- Annals OR
- 2014

We derive a Khinchine–Pollaczek formula for random walks whose steps have a geometric left tail. The construction rests on the… (More)

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2013

2013

- Liang Huang, Tony T. Lee
- IEEE Transactions on Communications
- 2013

The wireless fading channels with finite input buffer, Poisson arrivals and two-state Markov modulated service processes (MMSP… (More)

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2012

2012

- Offer Kella
- J. Applied Probability
- 2012

The goal is to identify the class of distributions to which the distribution of the maximum of a Lévy process with no negative… (More)

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2011

2011

- Lars Nørvang Andersen
- Math. Meth. of OR
- 2011

We consider a Lévy process reflected in barriers at 0 and K > 0. The loss rate is the mean time spent at the upper barrier K at… (More)

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2007

2007

- Colin M. Ramsay
- Queueing Syst.
- 2007

This paper solves the problem of finding exact formulas for the waiting time cdf and queue length distribution of first-in-first… (More)

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2007

2007

Let X̂ = C − Y where Y is a general one-dimensional Lévy process and C an independent subordinator. Consider the times when a new… (More)

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2004

2004

- Stan Zachary
- Queueing Syst.
- 2004

Veraverbeke’s Theorem (Veraverbeke (1977), Embrechts and Veraverbeke (1982)) gives the asymptotic distribution of the maximum M… (More)

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2002

2002

- Wei-Bo Gong, J B Huy
- 2002

We derive the MacLaurin series for the moments of the system time and the delay with respect to the parameters in the service… (More)

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