Paper Info
Title
Correlation analysis of a discrete-time flexible arrival process
Abstract
In this paper, a flexible discrete-time arrival process is introduced and its correlation properties are analyzed. The arrival process is the so-called batch-on/off model, an extension of the original on/off source used in the context of ATM networks. In the batch-on/off model, a group of arrivals may be generated at any given active slot. General distributions are assumed for the three input random variables characterizing the process: busy and idle periods, and batch size. The analysis focuses on two related processes: the process of counts and the sequence of interarrival times. For each process, an exact closed-form expression of its complete autocorrelation function is obtained. Explicit algorithms are provided to compute both autocorrelation functions, which are numerically evaluated for different distributions of the busy and idle periods and the batch size. The results provided in this paper reveal the analytical tractability of these models which, in addition to their flexibility, makes them very suitable for the performance evaluation of discrete-time communication systems and for general research in the area of queuing theory.
Year
DOI
Venue
2003
10.1016/S1389-1286(02)00441-3
Computer Networks
Keywords
DocType
Volume
Discrete-time communication systems,Workload characterization,Markov chains,Renewal theory,Autocorrelation function
Journal
41
Issue
ISSN
Citations 
6
Computer Networks
4
PageRank 
References 
Authors
0.48
11
2
Name
Order
Citations
PageRank
Sebastià Galmés1216.70
Ramon Puigjaner222928.79