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  Optimal trajectory to overflow in a queue fed by a large number of sources (1999) [12 citations — 6 self]

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by Michel Mandjes, Ad Ridder
Queueing Systems
http://staff.feweb.vu.nl/aridder/papers/optpad.ps
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Abstract:

sources

Citations

319 Stochastic theory of a data-handling system with multiple sources – Anick, Mitra, et al. - 1982
188 Effective Bandwidth for Multiclass Markov Fluids and other ATM sources – Kesidis, Walrand, et al. - 1993
139 A New Approach for Allocating Buffers and Bandwidth to Heterogeneous Regulated Traffic in an ATM Node – Elwalid, Mitra, et al. - 1995
114 Large deviations, the shape of the loss curve, and economies of scale in large multiplexers – Botvich, Duffield - 1995
86 Stochastic Models: an Algorithmic Approach – Tijms - 1994
73 Notes on effective bandwidths,” in Stochastic Networks: Theory and Applications – Kelly - 1996
72 Measurement-based connection admission control – Gibbens, Kelly - 1997
70 Calculus of Variations – Gelfand, Silverman, et al. - 2000
67 Large deviations approximation for fluid queues fed by a large number of on/off sources – Simonian, Guibert - 1995
53 Entropy, Large Deviations, and Statistical Mechanics – Ellis - 1985
44 Large Deviations for Performance Analysis: Queues, Communication and Computing – Shwartz, Weiss - 1995
41 Charging and Accounting for Bursty Connections – Kelly - 1997
40 Buffer overflow asymptotics for a buffer handling many traffic sources – Courcoubetis, Weber - 1996
35 Stochastic theory of data-handling systems with groups of multiple sources – Kosten - 1984
32 A new technique for analyzing large traffic systems – Weiss - 1986
16 Bounds and approximations for the periodic on/off queue with applications to ATM traffic control. INFOCOM '92 – Kvols, Blaabjerg - 1992
11 eds., Broadband Network Teletraffic: Performance Evaluation and – Roberts, Mocci, et al. - 1996
9 Finding the conjugate of Markov fluid processes – Mandjes, Ridder - 1995
7 An Exact Model for the Multiplexing of Worst Case Traffic Sources – Garcia, Barcelo, et al. - 1995
6 Private communication – Weber - 2003
5 On the distribution of the number of packets in the fluid flow approximation of packet arrival streams. Queueing Systems, 17: 275 – Brandt, Brandt - 1994
5 Overflow asymptotics for large communication systems with general Markov fluid sources – Mandjes - 1996