On the role of Rouché's theorem in queueing analysis

Queueing Systems

Volumn 23, Issue 1-4, 1996, Pages 281-291

  Cohen, J W ^a   Down, D G ^a,b  

^a CWI   (Netherlands)

^b Georgia Institute of Technology   (United States)

Author keywords

Coupled random walks; Ergodicity conditions; Rouch 's theorem

Indexed keywords

ERGODICITY; ERGODICITY CONDITION; FUNCTIONAL EQUATION; PERFORMANCE ANALYSIS; QUEUEING ANALYSIS; QUEUEING PROBLEMS; RANDOM WALK; REGULARITY PROPERTIES;

QUEUEING THEORY;

EID: 0040750210     PISSN: 02570130     EISSN: 15729443     Source Type: Journal    
DOI: 10.1007/BF01206561     Document Type: Article

References (9)

1. D.G. Down and O.J. Boxma, A polling model with threshold switching, in: Proceedings of the Nordic Teletraffic Seminar NTS-12, eds. I. Norros and J. Virtamo (Espoo, Finland, 1995).
2. H.R. Gail, S.L. Hantler and B.A. Taylor, Spectral analysis of M/G/1 and G/M/1 type Markov chains, Stochastic Models 10 (1994) 1-43.
3. H.R. Gail, S.L. Hantler and B.A. Taylor, Spectral analysis of M/G/1 type Markov chains, Advances in Applied Probability 28 (1996) 114-165.
4. D.-S. Lee and B. Sengupta, Queueing analysis of a threshold based priority scheme for ATM networks, IEEE/ACM Transactions on Networking 1 (1993) 709-717.
5. T. Lindvall, Lectures on the Coupling Method (Wiley, New York, 1992).
6. M. Marcus and H. Minc, A Survey of Matrix Theory and Matrix Inequalities (Allyn and Bacon, Boston, 1964).
7. S.P. Meyn and R.L. Tweedie, Markov Chains and Stochastic Stability (Springer-Verlag, London, 1993).
8. I. Mitrani and D. Mitra, A spectral expansion method for random walks on semi-infinite strips, in: Iterative Methods in Linear Algebra, eds. R. Beauwens and P. de Groen (Elsevier, 1992).
9. M.F. Neuts, Queues solvable without Rouché's theorem, Operations Research 27 (1979) 767-781.