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2003 Conference Publication Evaluating persistence times in populations that are subject to local catastrophesCairns, B. J. and Pollett, P. K. (2003). Evaluating persistence times in populations that are subject to local catastrophes. International Congress on Modelling and Simulation, Townsville, Australia, 14-17 July 2003. Townsvile, Australia: Modelling and Simulation Society of Australia and New Zealand. |
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2002 Journal Article Path integrals for continuous-time Markov chainsPollett, P. K. and Stefanov, V. T. (2002). Path integrals for continuous-time Markov chains. Journal of Applied Probability, 39 (4), 901-904. doi: 10.1239/jap/1037816029 |
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2002 Journal Article Two-link approximation schemes for loss networks with linear structure and trunk reservationBebbington, M., Pollett, P. and Ziedins, I. (2002). Two-link approximation schemes for loss networks with linear structure and trunk reservation. Telecommunication Systems, 19 (2), 187-207. doi: 10.1023/A:1013394009996 |
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2002 Journal Article Integrals for continuous-time Markov chainsPollett, P. K. (2002). Integrals for continuous-time Markov chains. Mathematical Biosciences, 182 (2), 213-225. doi: 10.1016/S0025-5564(02)00161-X |
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2002 Book Chapter Identifying Q-processes with a given finite m-invariant measurePollett, P. K. (2002). Identifying Q-processes with a given finite m-invariant measure. Markov Processes and Controlled Markov Chains. (pp. 41-55) edited by Z. Hou, J.A. Filar and A. Chen. The Netherlands: Kluwer. doi: 10.1007/978-1-4613-0265-0_3 |
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2001 Conference Publication Resource allocation in general queueing networks with applications to data networksPollett, P. K. (2001). Resource allocation in general queueing networks with applications to data networks. 16th National Conf. of the Aust.Soc. for Operations Research, McLarens On the Lake, McLaren Vale, Sth. Australia, 27th September 2001. Adelaide, South Australia: DSTO (Defence Science and Technology Organisation). |
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2001 Journal Article Approximations for the long-term behaviour of an open-population epidemic modelClancy, D., O'Neill, P. D. and Pollett, P. K. (2001). Approximations for the long-term behaviour of an open-population epidemic model. Methodology and Computing in Applied Probability, 3 (1), 75-95. doi: 10.1023/a:1011418208496 |
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2001 Conference Publication A reduced load approximation accounting for link interactions in a loss networkThompson, M. and Pollett, P. K. (2001). A reduced load approximation accounting for link interactions in a loss network. 16th National Conf. of the Aust.Soc. for Operations Research, McLarens On the Lake, McLaren Vale, Sth. Australia, 23 - 26 September 2001. Adelaide, South Australia: DSTO (Defence Science and Technology Organisation). |
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2001 Journal Article Quasi-stationarity in populations that are subject to large-scale mortality or emigrationPollett, P. K. (2001). Quasi-stationarity in populations that are subject to large-scale mortality or emigration. Environment International, 27 (2-3), 231-236. doi: 10.1016/S0160-4120(01)00092-7 |
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2001 Conference Publication Diffusion approximations for ecological modelsPollett, P. K. (2001). Diffusion approximations for ecological models. International Congress on Modelling and Simulation, Australian National University, Canberra, 10-13/12/01. Canberra, Australia: Modelling and Simulation Society of Australia and New Zealand. |
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2001 Journal Article Similar Markov chainsPollett, P. K. (2001). Similar Markov chains. Journal of Applied Probability, 38A (A), 53-65. doi: 10.1239/jap/1085496591 |
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2000 Journal Article Further results on the relationship between mu-invariant measures and quasi-stationary distributions for absorbing continuous-time Markov chainsElmes, S., Pollett, P. K. and Walker, D. M. (2000). Further results on the relationship between mu-invariant measures and quasi-stationary distributions for absorbing continuous-time Markov chains. Mathematical and Computer Modelling, 31 (10-12), 107-113. doi: 10.1016/S0895-7177(00)00077-7 |
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2000 Journal Article Quasistationarity of continuous-time Markov chains with positive driftCoolen-Schrijner, P., Hart, A. and Pollett, P (2000). Quasistationarity of continuous-time Markov chains with positive drift. Journal of The Australian Mathematical Society Series B-applied Mathematics, 41 (4), 423-441. doi: 10.1017/S0334270000011735 |
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2000 Journal Article Modelling congestion in closed queueing networksPollett, P. K. (2000). Modelling congestion in closed queueing networks. International Transactions in Operational Research, 7 (4-5), 319-330. doi: 10.1111/j.1475-3995.2000.tb00202.x |
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2000 Conference Publication Resource allocation in general queueing networksPollett, P. K. (2000). Resource allocation in general queueing networks. Putting OR/Ms Theory into Real Life, Kito Nijyo Club, Sapporo, Japan, 26-28 June 2000. Sapporo, Japan: Operations Research Society of Japan, Hokkaido Chapter. |
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2000 Journal Article Quasistationary distributions for level-dependent quasi-birth-and-death processesBean, N. G., Pollett, P. K. and Taylor, P. (2000). Quasistationary distributions for level-dependent quasi-birth-and-death processes. Communications in Statistics-Stochastic Models, 16 (5), 511-541. doi: 10.1080/15326340008807602 |
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2000 Journal Article New methods for determining quasi-stationary distributions for Markov chainsHart, A. G. and Pollett, P. K. (2000). New methods for determining quasi-stationary distributions for Markov chains. Mathematical And Computer Modelling, 31 (10-12), 143-150. doi: 10.1016/S0895-7177(00)00081-9 |
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2000 Journal Article Quasistationarity in continuous-time Markov chains where absorption is not certainDarlington, SJ and Pollett, PK (2000). Quasistationarity in continuous-time Markov chains where absorption is not certain. Journal of Applied Probability, 37 (2), 598-600. doi: 10.1239/jap/1014842561 |
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1999 Conference Publication The analysis of continuous-time Markovian models using expected ratesPollett, P. K. and Thompson, M. (1999). The analysis of continuous-time Markovian models using expected rates. 1st West.Pacific & 34d Aust.-Japan Workshop on Stochastic Models in Engin. Technology & Management, Christchurch, NZ, 23-25 September 1999. Brisbane: Cen. for Statistics, Univ. of Qld. |
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1999 Journal Article Modelling quasi-stationary behaviour in metapopulationsPollett, PK (1999). Modelling quasi-stationary behaviour in metapopulations. Mathematics and Computers in Simulation, 48 (4-6), 393-405. doi: 10.1016/S0378-4754(99)00019-1 |
