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Abstract: Consider an aggregate arrival process A N obtained by multiplexing N On-Off sources with exponential Off periods of rate and subexponential On periods ø on . For this process its activity period I N satisfies P[I N ? t] ¸ (1 + Eø on ) N \Gamma1 P[ø on ? t] as t !1; for all sufficiently small . When N goes to infinity, with N ! , A N approaches an M=G=1 type process, for which the activity period I 1 , or equivalently a busy period of an M=G=1 queue with subexponential... (Update)
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.... i is ae i = i ff i r i = 1 i ff i ) Let A i be a stochastic variable with distribution A i ( Delta) The next result is established in [11]. i ( Delta) 2 S and r i c, then i xg p i i x= r i Gamma c)g as x 1: 3. Bounds We now derive general bounds for the buffer...
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BibTeX entry: (Update)
Predrag Jelenkovic and Aurel Lazar, "Multiplexing On-Off Sources with Subexponential On Periods: Part II." In V. Ramaswami and P. Wirth (eds.), `Teletraffic Contributions for the Information Age, Vol 2A', pp. 965-974. Elsevier Science B.V., 1997. http://citeseer.ist.psu.edu/jelenkovic97multiplexing.html More
@inproceedings{ jelenkovic97multiplexing,
author = "Predrag R. Jelenkovic and Aurel A. Lazar",
title = "Multiplexing On-Off Sources with Subexponential On Periods: Part 1",
booktitle = "{INFOCOM} (1)",
pages = "187-195",
year = "1997",
url = "citeseer.ist.psu.edu/jelenkovic97multiplexing.html" }
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