Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1143382 | Operations Research Letters | 2006 | 6 Pages |
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)zs-A(z), where A(z)A(z) is a PGF. We present an elementary proof of the existence of these zeros including series A(z)A(z) with a radius of convergence of one.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
I.J.B.F. Adan, J.S.H. van Leeuwaarden, E.M.M. Winands,