Phil Pollett's Research Pages

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ARC Funded Projects

Papers and Abstracts

* Matrix-Analytic Methods in Applied Probability * (1996-1998)

(Held jointly with Bill Henderson, Charles Pearce and Peter Taylor, Department of Applied Mathematics, The University of Adelaide)

Published work

Bean N.G., Bright, L., Latouche, G., Pearce, C.E.M., Pollett, P.K. and
Taylor, P.G. (1997)
The quasistationary behaviour of quasi-birth-and-death processes.
* The Annals of Applied Probability* 7, 134-155.

Bean, N.G., Green, D.A. and Taylor, P.G. (1998)
Approximations to the output process of *MAP/PH/1* queues,
In (Eds A. Alfa and S. Chakravarthy)
*Advances in Matrix Analytic Methods for Stochastic Models*,
Notable Publications, NJ, pp. 151-170.

Bean, N.G., Green, D.A. and Taylor, P.G. (1998)
The output process of an *MMPP/M/1* queue,
*Journal of Applied Probability* 35, 998-1002.

Bean, N.G. and Green, D.A. (2000)
When is a *MAP* Poisson?
*Mathematical and Computer Modelling* 31, 31-46.

Bean, N.G., Latouche, G. and Taylor, P.G. (1998)
Quasi-reversibility and quasi-birth-and-death processes,
In
(Eds A. Alfa and S. Chakravarthy)
*Advances in Matrix Analytic Methods for Stochastic Models*,
Notable Publications, NJ, pp. 115-134.

Bean, N.G., Li, Jian-Min and Taylor, P.G. (1998)
Some asymptotic properties of two-stage tandem networks of PH/PH/1 queues,
In
(Eds A. Alfa and S. Chakravarthy)
*Advances in Matrix Analytic Methods for Stochastic Models*,
Notable Publications, NJ, pp. 171-193.

Bean, N.G., Pollett, P.K. and Taylor, P.G. (1996)
The quasistationary distributions of homogeneous quasi-birth-and-death
processes,
In (Eds Richard J. Wilson, D.N. Pra Murthy and Shunji Osaki)
* Proceedings of the 2nd Australia-Japan Workshop on Stochastic Models
in Engineering, Technology and Management*,
Technology Management Centre, The University of Queensland, pp. 44-55.

Bean, N.G., Pollett, P.K. and Taylor, P.G. (1998)
The quasistationary distributions of level-independent quasi-birth-and-death
processes,
* Stochastic Models* 14
(Special Issue in Honour of Marcel Neuts), 389-406.

Bean, N.G., Pollett, P.K. and Taylor, P.G. (2000)
The quasistationary distributions of
level-dependent quasi-birth-and-death processes,
*Stochastic Models* 16, 511-541.

Lasserre, J.B. and Pearce, C.E.M. (1998) On the existence of a quasistationary measure for a Markov chain Ann. Probab. 291, 437-446.

Latouche, G., Pearce, C.E.M. and Taylor, P.G. (1998)
Invariant measures for quasi-birth-and-death processes,
* Stochastic Models* 14
(Special Issue in Honour of Marcel Neuts), 443-460.

Li, Jian-Min and Neuts, M.F. (1998)
Waiting times for success runs in a class of discrete point processes,
*Bulletin of the Hong Kong Mathematical Society* 2, 131-142.

Li, Jian-Min, Widjaja, I. and Neuts, M.F. (1998)
Congestion detection in ATM networks,
*Performance Evaluation* 34, 147-168.

Neuts, M.F. and Li, Jian-Min (1999)
Point processes competing for runs: a new tool for their investigation,
*Methodology and Computing in Applied Probability* 1, 29-53.

Pearce, C.E.M. (1999)
On the exact solution of the general stochastic rumour,
*Mathematical and Computer Modelling* 31, 289-298.

Pearce, C.E.M. and Rhee, K.H. (1999)
An algorithmic approach to the *M/PH/c* retrial
queue with homogeneous servers,
*Proceedings of the Applied Mathematics Workshop, Centre for
Applied Mathematics*, KAIST 6, 135-155.

Pearce, C.E.M. and Shin, Y.W. (1998)
An algorithmic approach to the Markov chain with transition probability
matrix of upper block-Hessenberg form,
*Korean Journal of Computational and Applied
Mathematics* 5, 403-426.

Pearce, C.E.M. and Shin, Y.W. (1998)
The *BMAP/G/1* vacation queue with queue-length dependent
vacation schedule, *Journal of the Australian Mathematical
Society Series B* 40, 207-221.

Pearce, E. (1998)
Determining a quasistationary distribution for a block process,
In
(Eds A. Alfa and S. Chakravarthy)
*Advances in Matrix Analytic Methods for Stochastic Models*,
Notable Publications, NJ, pp. 55-66.

Lasserre, J.B. and Pearce, C.E.M. (1999) On s-finite measures for Markov chains.

Latouche, G. and Taylor, P.G. (1998)
Level-phase independence processes of *GI/M/1* type.

Neuts, M.F. and Li, Jian-Min (1998) The input/output process of a queue.

If you have any comments on these pages,

feel free
to e-mail me:
* pkp@maths.uq.edu.au *