Title
Computing packet loss probabilities in multiplexer models using rational approximation
Abstract
A statistical multiplexer is a basic model used in the design and the dimensioning of communication networks. The multiplexer model consists of a single server queue with constant service time and a more or less complicated arrival process. The aim is to determine the packet loss probability as a function of the capacity of the buffer. In this paper, we show how rational approximation techniques may be applied to compute the packet loss efficiently. The approach is based on the knowledge of a limited number of sample values, together with the decay rate of the probability distribution function. A strategy is proposed where the sample points are chosen automatically. The accuracy of the approach is validated by comparison with both analytical results obtained using a matrix-analytic method and simulation results.
Year
DOI
Venue
2003
10.1109/TC.2003.1197129
IEEE Trans. Computers
Keywords
Field
DocType
multiplexing,indexing terms,queueing theory,bandwidth,asynchronous transfer mode,videoconference,pade approximation,statistical multiplexing,quality of service,packet switching,probability,packet loss,matrix analytic method,decay rate,probability distribution function,markovian arrival process
Mathematical optimization,Computer science,Packet loss,Multiplexer,Queueing theory,Markovian arrival process,Packet switching,Statistical time division multiplexing,Dimensioning,Probability density function
Journal
Volume
Issue
ISSN
52
5
0018-9340
Citations 
PageRank 
References 
4
0.60
7
Authors
5
Name
Order
Citations
PageRank
Annie Cuyt116141.48
R. B. Lenin24310.84
Gert Willems3407.87
Chris Blondia41249121.64
Peter Rousseeuw540.60