E. Altman, K. E. Avrachenkov, A. A. Kherani, B. J. Prabhu  Home/Search
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Abstract: We study an Adaptive Window Protocol (AWP) with a general increase and decrease profile in the presence of window dependent random losses. We derive a steady-state Kolmogorov equation and obtain its solution in analytic form. We obtain some stochastic ordering relations for a protocol with different bounds on window. A closed form necessary and sufficient stability condition using the stochastic ordering for the window process is established. Finally, we apply the general results to particular... (Update)
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2: Applied Probability and Queues (context) - Asmussen - 1987
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BibTeX entry: (Update)
E. Altman, K. E. Avrachenkov, A. A. Kherani and B. J. Prabhu, "Performance Analysis and Stochastic Stability of Congestion Control Protocols" INRIA Report No. RR-5262, Sophia-Antipolis, France, July 2004. http://citeseer.ist.psu.edu/article/altman05performance.html More
@misc{ altman04performance,
author = "E. Altman and K. Avrachenkov and A. Kherani and B. Prabhu",
title = "Performance Analysis and Stochastic Stability of Congestion Control Protocols",
text = "E. Altman, K. E. Avrachenkov, A. A. Kherani and B. J. Prabhu, Performance
Analysis and Stochastic Stability of Congestion Control Protocols INRIA
Report No. RR-5262, Sophia-Antipolis, France, July 2004.",
year = "2004",
url = "citeseer.ist.psu.edu/article/altman05performance.html" }
Citations (may not include all citations):222 Applied probability and queues (context) - Asmussen - 2003
120 A stochastic model of TCP/IP with stationary random losses - Altman, Avrachenkov et al. - 2000
64 HighSpeed TCP for Large Congestion Windows - Floyd - 2003
40 Scalable TCP: Improving Performance in Highspeed Wide Area N.. - Kelly - 2002
16 Ergodicity and stability of stochastic processes (context) - Borovkov - 1998
12 Statedependent M/G/1 Type Queueing Analysis for Congestion C.. (context) - Altman, Avratchenkov et al. - 2001
11 Stochastic Models for Throughput Analysis of Randomly Arrivi.. - Kherani, Kumar - 2002
4 Stochastic Differential Equation for TCP Window size: Analys.. - Budhiraja, Hernandez-campos et al. - 2004
4 Queueing systems, Vol 1 : Theory (context) - Kleinrock - 1975
3 Whitt: Limits for Queues as the Waiting Room Grows (context) - Heyman - 1988
3 New YorkLondon -Sydney (context) - Billingsley, probability et al. - 1968
2 The M/G/1 Queue with Finite Workload Capacity (context) - Perry, Stadje et al. - 2001
2 Performance Analysis and Stochastic Stability of Congestion .. - Altman, Avrachenkov et al. - 2004
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Fairness in MIMD Congestion Control Algorithms - Altman, Avrachenkov, Prabhu (2004) (Correct)
Fairness in MIMD Congestion Control Algorithms - Altman, Avrachenkov, Prabhu (2005) (Correct)
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