Title
An End-to-End Probabilistic Network Calculus with Moment Generating Functions
Abstract
Abstract— Network calculus is a min-plus system theory for performance evaluation of queuing networks. Its elegance stems from intuitive convolution formulas for concatenation of deterministic servers. Recent research dispenses with the worstcase assumptions of network calculus to develop a probabilistic equivalent that benefits from statistical multiplexing. Significant achievements have been made, owing for example to the theory of effective bandwidths, however, the outstanding scalability set up by concatenation of deterministic servers has not been shown. This paper establishes a concise, probabilistic network calculus with moment generating functions. The presented work features closed-form, end-to-end, probabilistic performance bounds that achieve the objective of scaling linearly in the number of servers in series. The consistent application of moment generating functions put forth in this paper utilizes independence beyond the scope of current statistical multiplexing of flows. A relevant additional gain is demonstrated for tandem servers with independent cross-traffic.
Year
DOI
Venue
2005
10.1109/IWQOS.2006.250477
international workshop on quality of service
Keywords
DocType
Volume
probability,queueing theory,statistical multiplexing,telecommunication traffic,deterministic server concatenation,end-to-end probabilistic network calculus,independent cross-traffic,min-plus system theory,moment generating function,performance evaluation,queuing network,tandem server,information theory,system theory
Journal
abs/cs/050
ISSN
ISBN
Citations 
1548-615X E-ISBN : 1-4244-0477-0
1-4244-0477-0
93
PageRank 
References 
Authors
4.22
26
1
Name
Order
Citations
PageRank
Markus Fidler126815.13