On the application of Rouché's theorem in queueing theory

On the application of Rouché's theorem in queueing theory

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Article ID: iaor20062947
Country: Netherlands
Volume: 34
Issue: 3
Start Page Number: 355
End Page Number: 360
Publication Date: May 2006
Journal: Operations Research Letters
Authors: , ,
Abstract:

The determination of the PGF of the queue length distribution often requires the zeros on and within the unit circle of functions of the type zs−A(z), where A(z) is a PGF. We present an elementary proof of the existence of these zeros including series A(z) with a radius of convergence of one.

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