 
Summary: Chapter 12
Modeling and Analysis
using Computational Tools
Most of the results from Chapter 4, 5 and 6 can be used for the numerical anal
ysis of queueing systems using standard techniques from applied mathematics
with the help of software packages provided by numerical analysis tools such as
MATLAB, and Mathematica. Some of the significant mathematical techniques
that may be needed are matrix multiplications; solving difference, differential,
or integral equations; and root finding algorithms. There are also software spe
cific to queueing systems available for these analyses. See for instance, QTS
software accompanying the book Gross and Harris (1998), and Hastings (2006)
using Mathematica.
In this chapter we present two special algorithms, Mean Value Analysis and
Convolution Algorithm, for the analysis of closed queueing networks, and an
introduction to simulation techniques that are widely used in analyzing queueing
systems in general. In the illustration of special algorithms we use simplifying
This chapter is authored by Professors Robert Akl and Krishna Kavi, Department of
Computer Science and Engineering, University of North Texas, Denton, Texas, USA.
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