Publications

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  • Somya Mehra, J. McCaw, Mark B Flegg, P. Taylor. Antibody Dynamics for Plasmodium vivax Malaria: A Mathematical Model.. Bulletin of mathematical biology, 83, 6 (27pp), 2021. doi: 10.1007/s11538-020-00837-5.

  • Raj Dandekar, Shane G Henderson, Hermanus M Jansen, Joshua McDonald, Sarat Moka, Yoni Nazarathy, Christopher Rackauckas, P. Taylor, Aapeli Vuorinen. Safe Blues: The case for virtual safe virus spread in the long-term fight against epidemics. Patterns, 2, 100220 (9pp), 2021. doi: 10.1016/j.patter.2021.100220.

  • M. Fackrell, P. Taylor, Jiesen Wang. Strategic customer behavior in an M/M/1 feedback queue. Queueing Systems, 97, 223-259, 2021. doi: 10.1007/s11134-021-09693-z.

  • J. Fu, Bill Moran, P. Taylor. A Restless Bandit Model for Resource Allocation, Competition, and Reservation. Operations Research, 2021. doi: 10.1287/opre.2020.2066.

  • Azam Asanjarani, Yoni Nazarathy, P. Taylor. A survey of parameter and state estimation in queues. Queueing Systems, 97, 39-80, 2021. doi: 10.1007/s11134-021-09688-w.

  • M. Fackrell, C. Li, P. Taylor, Jiesen Wang. The Value of Communication and Cooperation in a Two-Server Service System. 2021.

  • M. Fackrell, P. Taylor, Jiesen Wang. Strategic Customer Behavior in an $M/M/1$ Feedback Queue. 2021.

  • Punya Alahakoon, J. McCaw, P. Taylor. Estimation of the probability of epidemic fade-out from multiple outbreak data. 2021. doi: 10.1101/2021.06.01.446666.

  • Mojtaba Heydar, Erin Trainer, M. Fackrell, P. Taylor, A. Tirdad. A stochastic model for the patient-bed assignment problem with random arrivals and departures. Annals of Operations Research, 1-33, 2021. doi: 10.1007/s10479-021-03982-9.

  • Somya Mehra, J. McCaw, Mark B Flegg, P. Taylor. An Activation-Clearance Model for Plasmodium vivax Malaria.. Bulletin of mathematical biology, 82, 32 (21pp), 2020. doi: 10.1007/s11538-020-00706-1.

  • M. Fackrell, C. Li, P. Taylor, J Wang. The value of communication and cooperation when servers are strategic. The ANZIAM Journal, 349-367, 2020. doi: 10.1017/S1446181120000048.

  • R. Bowden, HP Keeler, AE Krzesinski, P. Taylor. Modeling and analysis of block arrival times in the Bitcoin blockchain. Stochastic Models, 602-637, 2020. doi: 10.1080/15326349.2020.1786404.

  • J. Fu, B Moran, P. Taylor, C Xing. Resource competition in virtual network embedding. Stochastic Models, 231-263, 2020. doi: 10.1080/15326349.2020.1858875.

  • Azam Asanjarani, Yoni Nazarathy, P. Taylor. A Survey of Parameter and State Estimation in Queues. 2020.

  • Raj Dandekar, Shane G Henderson, Marijn Jansen, Sarat Moka, Yoni Nazarathy, Christopher Rackauckas, P. Taylor, Aapeli Vuorinen. Safe Blues: A Method for Estimation and Control in the Fight Against COVID-19. 2020. doi: 10.1101/2020.05.04.20090258.

  • S Dendievel, S. Hautphenne, G. Latouche, P. Taylor. The time-dependent expected reward and deviation matrix of a finite QBD process. Linear Algebra and Its Applications, 570, 61-92, 2019. doi: 10.1016/j.laa.2019.02.002.

  • N. Sonenberg, P. Taylor. Networks of interacting stochastic fluid models with infinite and finite buffers. Queueing Systems, 92, 293-322, 2019. doi: 10.1007/s11134-019-09619-w.

  • M. Holmes, P. Taylor. A paradox for expected hitting times. Stochastic Models, 365-377, 2019. doi: 10.1080/15326349.2019.1695136.

  • T. Hyndman, P. Taylor. The coupling time for the Ising heat-bath dynamics & efficient optimization for statistical inference. 2019.

  • J. Fu, Yoni Nazarathy, Sarat Moka, P. Taylor. Towards Q-learning the whittle index for restless bandits. 2019 Australian and New Zealand Control Conference, ANZCC 2019, 249-254, 2019. doi: 10.1109/ANZCC47194.2019.8945748.

  • Juri Hinz, P. Taylor. A Note on Optimal Double Spending Attacks. 2, 545-551, Springer International Publishing, 2019. doi: 10.1007/978-3-030-04161-8_47.

  • N. Read, TJ Duff, P. Taylor. A lightning-caused wildfire ignition forecasting model for operational use. Agricultural and Forest Meteorology, 253-254, 233-246, 2018. doi: 10.1016/j.agrformet.2018.01.037.

  • A. Kumar, A. Costa, M. Fackrell, P. Taylor. A sequential stochastic mixed integer programming model for tactical master surgery scheduling. European Journal of Operational Research, 734-746, 2018. doi: 10.1016/j.ejor.2018.04.007.

  • JK Budd, P. Taylor. Bounds for the solution to the single-period inventory model with compound renewal process input: An application to setting credit card limits. European Journal of Operational Research, 1012-1018, 2018. doi: 10.1016/j.ejor.2018.11.022.

  • Dario Bini, Jeffrey J Hunter, G. Latouche, Beatrice Meini, P. Taylor. Why is Kemeny's constant a constant?. Journal of Applied Probability, 55, 1025-1036, 2018. doi: 10.1017/jpr.2018.68.

  • Francis Thien, Paul J Beggs, Danny Csutoros, Jai Darvall, Mark Hew, Janet M Davies, Philip G Bardin, Tony Bannister, Sara Barnes, Rinaldo Bellomo, Timothy Byrne, Andrew Casamento, Matthew Conron, Anthony Cross, Ashley Crosswell, Jo A Douglass, Matthew Durie, John Dyett, Elizabeth Ebert, Bircan Erbas, Craig French, Ben Gelbart, Andrew Gillman, Nur-Shirin Harun, Alfredo Huete, Louis Irving, Dharshi Karalapillai, David Ku, Philippe Lachapelle, David Langton, Joy Lee, Clare Looker, Christopher MacIsaac, Joseph McCaffrey, Christine F McDonald, Forbes McGain, Edward Newbigin, David Pilcher, Shivonne Prasad, Kanishka Rangamuwa, Laurence Ruane, Vineet Sarode, J. Silver, Anne Marie Southcott, Ashwin Subramaniam, Cenk Suphioglu, Nugroho Harry Susanto, Michael F Sutherland, Gopal Taori, P. Taylor, Paul Torre, Joseph Vetro, Geoffrey Wigmore, Alan C Young, Charles Guest. The Melbourne epidemic thunderstorm asthma event 2016: an investigation of environmental triggers, effect on health services, and patient risk factors.. The Lancet. Planetary health, 2, E255-E263, 2018. doi: 10.1016/S2542-5196(18)30120-7.

  • N. Read, P. Taylor. Statistical models for the location of lightning-caused wildfire ignitions. 2018.

  • K. Saunders, P. Taylor. An investigation of Australian rainfall using extreme value theory. 2018.

  • R. Bowden, HP Keeler, AE Krzesinski, P. Taylor. Block arrivals in the Bitcoin blockchain. 2018.

  • M Mandjes, P. Taylor, K De Turck. The Markov-modulated Erlang loss system. Performance Evaluation, 116, 53-69, 2017. doi: 10.1016/j.peva.2017.08.005.

  • Na Li, David A Stanford, P. Taylor, Ilze Ziedins. Nonlinear Accumulating Priority Queues with Equivalent Linear Proxies. Operations Research, 65, 1712-1721, 2017. doi: 10.1287/opre.2017.1613.

  • M. Fackrell, P. Taylor. Allocation in a vertical rotary car park. 337-370, Markov Decision Processes in Practice, Springer, 2017. doi: 10.1007/978-3-319-47766-4_12.

  • Simon Loertscher, E. Muir, P. Taylor. A general non-central hypergeometric distribution. Communications in Statistics - Theory and Methods, 46, 4579-4598, 2017. doi: 10.1080/03610926.2015.1088033.

  • S. Hautphenne, Melanie Massaro, P. Taylor. How old is this bird? The age distribution under some phase sampling schemes. Journal of Mathematical Biology, 75, 1319-1347, 2017. doi: 10.1007/s00285-017-1121-x.

  • K. Saunders, A. Stephenson, P. Taylor, David Karoly. The spatial distribution of rainfall extremes and the influence of El Nino Southern Oscillation. Weather and Climate Extremes, 18, 17-28, 2017. doi: 10.1016/j.wace.2017.10.001.

  • K. Saunders, AG Stephenson, P. Taylor, D Karoly. The spatial distribution of rainfall extremes and the influence of El Nino Southern Oscillation. Weather and Climate Extremes, 18, 17-28, 2017.

  • E. Muir, P. Taylor. Optimal market thickness and market design. 2017.

  • N. Sonenberg, P. Taylor. Networks of interacting stochastic fluid models. 2017.

  • Sarah Dendievel, S. Hautphenne, G. Latouche, P. Taylor. The time-dependent expected reward and deviation matrix of a finite QBD process. 2017.

  • Dario Bini, Jeffrey J Hunter, G. Latouche, Beatrice Meini, P. Taylor. Why is Kemeny's constant a constant?. 2017.

  • R. Maillardet, P. Taylor. Queues with Advanced Reservations: An Infinite-Server Proxy for the Bookings Diary. Advances in Applied Probability, 48, 13-31, 2016. doi: 10.1017/apr.2015.4.

  • I. Siekmann, M. Fackrell, E. Crampin, P. Taylor. Modelling modal gating of ion channels with hierarchical Markov models. Proceedings of the Royal Society A - Mathematical, Physical and Engineering Sciences, 472, 20160122 (27pp), 2016. doi: 10.1098/rspa.2016.0122.

  • J Göbel, HP Keeler, AE Krzesinski, P. Taylor. Bitcoin blockchain dynamics: The selfish-mine strategy in the presence of propagation delay. Performance Evaluation, 104, 23-41, 2016. doi: 10.1016/j.peva.2016.07.001.

  • Michel Mandjes, P. Taylor. The Running Maximum of a Level-Dependent Quasi-Birth-Death Process. Probability in the Engineering and Informational Sciences, 30, 212-223, 2016. doi: 10.1017/S026996481500039X.

  • P. Braunsteins, S. Hautphenne, P. Taylor. The roles of coupling and the deviation matrix in determining the value of capacity in M/M/1/C queues. Queueing Systems, 83, 157-179, 2016. doi: 10.1007/s11134-016-9480-3.

  • Jonathan Keith Budd, P. Taylor. Modelling credit card usage for individual card-holders. 2016.

  • Ivo Siekmann, M. Fackrell, E. Crampin, P. Taylor. Modelling modal gating of ion channels with hierarchical Markov models. 2016.

  • S. Hautphenne, Yoav Kerner, Yoni Nazarathy, P. Taylor. The intercept term of the asymptotic variance curve for some queueing output processes. European Journal of Operational Research, 242, 455-464, 2015. doi: 10.1016/j.ejor.2014.10.051.

  • N. Sonenberg, G Au, P. Taylor. A queueing model for the capacity planning of a multi-phase human services process. International Journal of Systems Science: Operations & Logistics, 2, 156-167, 2015. doi: 10.1080/23302674.2015.1015660.

  • H Keeler, P. Taylor. Discussion on "On the Laplace Transform of the Aggregate Discounted Claims with Markovian Arrivals". North American Actuarial Journal, 19, 73-77, 2015. doi: 10.1080/10920277.2014.977453.

  • Katherine J Catani, Julian A Sanelli, Viktoras Dryza, N. Gilka, P. Taylor, Evan J Bieske. Electronic spectrum of the propargyl cation (H2C3H+) tagged with Ne and N2. The Journal of chemical physics, 143, 184306 (7pp), 2015. doi: 10.1063/1.4935169.

  • S. Hautphenne, Melanie Massaro, P. Taylor. How old is this bird? The age distribution under some phase sampling schemes. 2015.

  • Johannes Göbel, P. Keeler, Anthony E Krzesinski, P. Taylor. Bitcoin Blockchain Dynamics: the Selfish-Mine Strategy in the Presence of Propagation Delay. 2015.

  • D Stanford, P. Taylor, I Ziedins. Waiting time distributions in the accumulating priority queue. Queueing Systems, 77, 297-330, 2014. doi: 10.1007/s11134-013-9382-6.

  • AB Sharif, D Stanford, P. Taylor, I Ziedins. A multi-class multi-server accumulating priority queue with application to health care. Operations Research for Health Care, 3, 73-79, 2014. doi: 10.1016/j.orhc.2014.01.002.

  • LH Campbell, P. Taylor. Renfrey Burnard Potts 1925-2005. Historical Records of Australian Science, 25, 291-305, 2014.

  • TJ Duff, DM Chong, P. Taylor, KG Tolhurst. Procrustes based metrics for spatial validation and calibration of two-dimensional perimeter spread models: A case study considering fire. Agricultural and Forest Meteorology, 160, 110-117, 2013. doi: 10.1016/j.agrformet.2012.03.002.

  • Y. Salomon, MA McCarthy, P. Taylor, BA Wintle. Incorporating uncertainty of management costs in sensitivity analyses of matrix population models. Conservation Biology, 27, 134-144, 2013. doi: 10.1111/cobi.12007.

  • G Latouche, Safieh Mahmoodi, P. Taylor. Level-phase independent stationary distributions for GI/M/1-type Markov chains with infinitely-many phases. Performance Evaluation, 70, 551-563, 2013. doi: 10.1016/j.peva.2013.05.004.

  • NG Bean, PK Pollett, JV Ross, P. Taylor. Special Issue: Modelling for decision making in ecological systems Preface. Ecological Modelling, 249, 1-2, 2013. doi: 10.1016/j.ecolmodel.2012.07.034.

  • S. Hautphenne, Yoav Kerner, Yoni Nazarathy, P. Taylor. The Second Order Terms of the Variance Curves for Some Queueing Output Processes. 2013.

  • H Keeler, P. Taylor. Random transmission radii in greedy routing models for ad hoc sensor networks. SIAM Journal on Applied Mathematics, 72, 535-557, 2012. doi: 10.1137/110823547.

  • Krzesinski, Latouche, P. Taylor. How do we encourage an egoist to act socially in an ad hoc mobile network?. Computer Networks, 56, 3499-3510, 2012. doi: 10.1016/j.comnet.2012.07.008.

  • K Gill, E van Wilgenburg, P. Taylor, MA Elgar. Collective retention and transmission of chemical signals in a social insect. Naturwissenschaften, 99, 245-248, 2012. doi: 10.1007/s00114-012-0891-7.

  • David Stanford, P. Taylor, Ilze Ziedins. A new paradigm for priority patient selection (abstract only). ACM SIGMETRICS Performance Evaluation Review, 39, 29, 2012. doi: 10.1145/2185395.2185419.

  • N. Sonenberg, P. Taylor. A network of fluid models and its application in MANETs (abstract only). ACM SIGMETRICS Performance Evaluation Review, 39, 29, 2012. doi: 10.1145/2185395.2185418.

  • A. Motyer, P. Taylor. Decay rates for some quasi-birth-and-death processes with phase-dependent transition rates. Journal of Applied Probability, 48a, 327-339, 2011. doi: 10.1239/jap/1318940475.

  • H Keeler, P. Taylor. A Model Framework for Greedy Routing in a Sensor Network with a Stochastic Power Scheme. ACM Transactions on Sensor Networks, 7, 1-28, 2011. doi: 10.1145/1921621.1921628.

  • G Latouche, G Nguyen, P. Taylor. Queues with boundary assistance: the effects of truncation. Queueing Systems, 69, 175-197, 2011. doi: 10.1007/s11134-011-9255-9.

  • V Ejov, N Litvak, G Nguyen, P. Taylor. Proof of the Hamiltonicity-Trace Conjecture for Singularly Perturbed Markov Chains. Journal of Applied Probability, 48, 901-910, 2011. doi: 10.1239/jap/1324046008.

  • P. Taylor. Comments on: Light tail asymptotics in multidimensional reflecting processes for queueing networks. TOP: An Official Journal of the Spanish Society of Statistics and Operations Researc, 19, 306-308, 2011. doi: 10.1007/s11750-011-0183-y.

  • A. Motyer, P. Taylor. Decay rates for some quasi-birth-and-death processes with phase-dependent transition rates. Journal of Applied Probability, 48, 327-339, 2011. doi: 10.1017/s0021900200099320.

  • P. Taylor. Insensitivity in Stochastic Models. 121-140, Queueing Networks: A Fundamental Approach, Springer, 2010. doi: 10.1007/978-1-4419-6472-4_3.

  • A Costa, M. Ramakrishnan, P. Taylor. A distributed approach to capacity allocation in logical networks. European Journal of Operational Research, 203, 737-748, 2010. doi: 10.1016/j.ejor.2009.09.022.

  • M. Fackrell, Q He, P. Taylor, H. Zhang. The Algebraic Degree of Phase-Type distributions. Journal of Applied Probability, 47, 611-629, 2010. doi: 10.1239/jap/1285335399.

  • CA Bain, P. Taylor, G McDonnell, A Georgiou. Myths of ideal hospital occupancy. Medical Journal of Australia, 192, 42-43, 2010.

  • P. Taylor, B Van Houdt. On the dual relationship between markov chains of GI/M/1 and M/G/1 type. Advances in Applied Probability, 42, 210-225, 2010. doi: 10.1239/aap/1269611150.

  • HP Keeler, P. Taylor. A stochastic anslysis of a greedy routing scheme in sensor networks. SIAM Journal on Applied Mathematics, 70, 2214-2238, 2010. doi: 10.1137/080725684.

  • Dmitry Ganyushin, N. Gilka, P. Taylor, Christel M Marian, Frank Neese. The resolution of the identity approximation for calculations of spin-spin contribution to zero-field splitting parameters.. The Journal of chemical physics, 132, 144111 (11pp), 2010. doi: 10.1063/1.3367718.

  • L Au, G. Byrnes, C Bain, M. Fackrell, C Brand, D Campbell, P. Taylor. Predicting Overflow in an Emergency Department. IMA Journal of Management Mathematics, 20, 39-49, 2009. doi: 10.1093/imaman/dpn007.

  • R Adler, J Ewing, P. Taylor. Citation Statistics - A Report from the International Mathematical Union (IMU) in Cooperation with the International Council of Industrial and Applied Mathematics (ICIAM) and the Institute of Mathematical Statistics (IMS). Statistical Science, 24, 1-14, 2009. doi: 10.1214/09-STS285.

  • Latouche, P. Taylor. A stochastic fluid model for an ad hoc mobile network. Queueing Systems, 63, 109-129, 2009. doi: 10.1007/s11134-009-9153-6.

  • A Arvidsson, J Göbel, A Krzesinski, P. Taylor. A Distributed Scheme for Value-Based Bandwidth Reconfiguration. Lecture Notes in Computer Science, 5464, 16-35, 2009. doi: 10.1007/978-3-642-04576-9-2.

  • N Bean, M O'Reilly, P. Taylor. Hitting Probabilities and Hitting Times for Stochastic Fluid Flows: the Bounded Model. Probability in the Engineering and Informational Sciences, 23, 121-147, 2009. doi: 10.1017/S0269964809000102.

  • N Bean, M. Fackrell, P. Taylor. Characterization of Matrix-Exponential Distributions. Stochastic Models, 24, 339-363, 2008. doi: 10.1080/15326340802232186.

  • J. Guo, EWM Wong, S Chan, P. Taylor, M Zukerman, KS Tang. Performance Analysis of Resource Selection Schemes for a Large Scale Video-on-Demand System. IEEE Transactions on Multimedia, 10, 153-159, 2008. doi: 10.1109/TMM.2007.911281.

  • J. Guo, EWM Wong, S Chan, P. Taylor, M Zukerman, KS Tang. Combination load balancing for video-on-demand systems. IEEE Transactions on Circuits and Systems for Video Technology, 18, 937-948, 2008. doi: 10.1109/TCSVT.2008.924905.

  • N Bean, M O’Reilly, P. Taylor. Algorithms for the Laplace-Stieltjes Tranforms of First Return Times for Stochastic Fluid Flows. Methodology and Computing in Applied Probability, 10, 381-408, 2008. doi: 10.1007/s11009-008-9077-3.

  • N Bean, N Kontoleon, P. Taylor. Markovian Trees: Properties and Alogirthms. Annals of Operations Research, 160, 31-50, 2008. doi: 10.1007/s10479-007-0295-9.

  • A. Novak, P. Taylor, D Veitch. Corrigendum to 'The distribution of the number of arrivals in a subinterval of a busy period of a single server queue'. Queueing Systems, 59, 87-93, 2008. doi: 10.1007/s11134-008-9077-6.

  • Jun Guo, Yi Wang, Kit-Sang Tang, Sammy Chan, Eric WM Wong, P. Taylor, Moshe Zukerman. Evolutionary optimization of file assignment for a large-scale video-on-demand system. IEEE Transactions on Knowledge and Data Engineering, 20, 836-850, 2008. doi: 10.1109/TKDE.2007.190742.

  • N. Gilka, P. Taylor, Christel M Marian. Electron spin-spin coupling from multireference configuration interaction wave functions.. The Journal of chemical physics, 129, 044102 (19pp), 2008. doi: 10.1063/1.2948402.

  • Alana L Moore, P. Taylor. Managing populations in the face of uncertainty: adaptive management, partial observability and the dynamic value of information. 2008.

  • A Krzesinski, A Costa, M. Ramakrishnan, P. Taylor. A Comment on Two-phase Behaviour of Financial Markets. International Journal of Theoretical and Applied Finance, 10, 89-93, 2007. doi: 10.1142/S0219024907004056.

  • A. Motyer, P. Taylor. Decay Rates for Quasi-Birth-and-Death Processes with Countably Many Phases and Tridiagonal Block Generators. Advances in Applied Probability, 38, 522-544, 2006. doi: 10.1239/aap/1151337083.

  • A. Novak, P. Taylor, D Veitch. The Distribution of the Number of Arrivals in a Subinterval of the Busy Period in a Single Server Queue. Queueing Systems, 53, 105-114, 2006. doi: 10.1007/s11134-006-6670-4.

  • S Wheeler, N Bean, J Gaffney, P. Taylor. A Markov analysis of social learning and adaptation. Journal of Evolutionary Economics, 16, 299-319, 2006. doi: 10.1007/s00191-006-0017-5.

  • N. Bean, M. O'Reilly, P. Taylor. Algorithms for return Probabilities for Stochastic Fluid flows. Stochastic Models, 21, 149-184, 2005. doi: 10.1081/STM-200046511. PDF.

  • BA Chiera, A Krzesinski, P. Taylor. Some Properties of the Capacity Value Function. SIAM Journal on Applied Mathematics, 65, 1407-1419, 2005. doi: 10.1137/S0036139903430859.

  • M. Ramakrishnan, D Sier, P. Taylor. A two-time-scale model for hospital patient flow. IMA Journal of Management Mathematics, 16, 197-215, 2005. doi: 10.1093/imaman/dpi014.

  • N Bean, M O’Reilly, P. Taylor. Hitting probabilities and hitting times for stochastic fluid flows. Stochastic Processes and their Applications, 115, 1530-1556, 2005. doi: 10.1016/j.spa.2005.04.002.

  • A Costa, M. Fackrell, P. Taylor. Two Issues Surrounding Parrondo’s Paradox. Annals of the International Society of Dynamical Games, 7, 599-609, 2005.

  • A. Costa, M. Fackrell, P. Taylor. Two issues surrounding parrondo’s paradox. Annals of the International Society of Dynamical Games, 7, 599-609, 2005. doi: 10.1007/0-8176-4429-6_31.

  • DP Kroese, WRW Scheinhardt, P. Taylor. Spectral properties of the tandem Jackson network, seen as a quasi-birth-and-death process. 2005.

  • C. Mangelsdorf, P. Taylor, A. TORDESILLAS. Real World Mathematics in Action 2002!. Australian Mathematical Society Gazette, 31, 175-183, 2004.

  • A Arvidsson, JM de Kock, A Krzesinski, P. Taylor. Cost-Effective Deployment of Bandwidth Partitioning in Broadband Networks. Telecommunication Systems, 25, 33-49, 2004. doi: 10.1023/B:TELS.0000011195.92172.74.

  • DP Kroese, W Scheinhardt, P. Taylor. Spectral Properties Of The Tandem Jackson Network, Seen As A Quasi-Birth-And-Death Process. Annals of Applied Probability, 14, 2057-2089, 2004. doi: 10.1214/105051604000000477.

  • BA Chiera, MR Krieg, J Parrott, P. Taylor. Dynamic reallocation of capacity in logically fully-connected networks. International Journal of Network Management, 14, 9-18, 2004. doi: 10.1002/nem.499.

  • J. Guo, P. Taylor, EWM Wong, S Chan, M Zuckerman, KS Tang. Performance benchmarks for an interactive video-on-demand system. 2004 IEEE International Conference on Communications, Vols 1-7, 4, 2189-2193, 2004. doi: 10.1109/ICC.2004.1312906.

  • J GUO, P. Taylor, EWM WONG, M ZUKERMAN, KS TANG. Performance benchmarks for an interactive video-on-demand system. Proceedings of the 2004 IEEE International Conference on Communications, 1-5, 2004.

  • J. Guo, S Chan, EWM Wong, M Zukerman, P. Taylor, KS Tang. On blocking probability evaluation for video-on-demand systems. Proceedings of the 18th international teletraffic congress ITC-18, 5a, 211-220, 2003.

  • J. Guo, P. Taylor, M Zukerman, S Chan, KS Tang, WM Wong. On the efficient use of video-on-demand storage facility.. Proceedings from the 2003 IEEE international conference on multimedia and expo., 2, 329-332, 2003. doi: 10.1109/ICME.2003.1221620.

  • G Latouche, P. Taylor. Drift conditions for matrix-analytic models. Mathematics of Operations Research, 28, 346-360, 2003. doi: 10.1287/moor.28.2.346.14475.

  • G Latouche, MA Remiche, P. Taylor. Transient Markov Arrival Processes. Annals of Applied Probability, 13, 628-640, 2003. doi: 10.1214/aoap/1050689597.

  • G Latouche, P. Taylor. Truncation and Augmentation of Quasi-Birth-and-Death Processes. Stochastic Processes and their Applications, 99, 53-80, 2002. doi: 10.1016/S0304-4149(01)00155-7.

  • BA Chiera, P. Taylor. What is a Unit of Capacity Worth?. Probability in the Engineering and Informational Sciences, 16, 513-522, 2002. doi: 10.1017/S0269964802164084.

  • W Henderson, P. Taylor. State-Dependent Coupling of Quasireversible Nodes. Queueing Systems, 37, 163-197, 2001. doi: 10.1023/A:1011048418603.

  • X Chao, W Henderson, P. Taylor. State-Dependent Coupling of General Markov Chains. Queueing Systems, 39, 337-348, 2001. doi: 10.1023/A:1013905526759.

  • N Bean, DR Brown, P. Taylor. Maximal profit dimensioning and tariffing of loss networks with cross-connects. Mathematical and Computer Modelling, 31, 21-30, 2000. doi: 10.1016/S0895-7177(00)00069-8.

  • P. Taylor. Quasi-reversibility and networks of queues with nonstandard batch movements. Mathematical and Computer Modelling, 31, 335-341, 2000. doi: 10.1016/S0895-7177(00)00104-7.

  • N Bean, P Pollett, P. Taylor. Quasistationary distributions for level-dependent quasi-birth-and-death processes. Communications in Statistics. Part C: Stochastic Models, 16, 511-541, 2000. doi: 10.1080/15326340008807602.

  • A Arvidsson, J de Kock, A Krzesinski, P. Taylor. The design of ATM virtual path connection networks with service separation. 8th International Symposium on Modeling, Analysis and Simulation of Computer and Telecommunication Systems, Proceedings, 424-431, 2000. doi: 10.1109/MASCOT.2000.876568.

  • G Latouche, P. Taylor. Level-phase independence for Gi/M/1-type Markov chains. Journal of Applied Probability, 37, 984-998, 2000. doi: 10.1239/jap/1014843078.

  • NG Bean, JM Li, P. Taylor. Caudal Characteristics of QBDs with Decomposable Phase Spaces. Advances in Algorithmic Methods for Stochastic Models, 37–56, 2000.

  • GP Harmer, DA Abbott, P. Taylor, CEM Pearce, JMR Parrondo. Information Entropy and Parrondo’s Discrete-Time Ratchet. Stochastic and Chaotic Dynamics in the Lakes (Stochaos), 502, 544–549, 2000.

  • GP Harmer, DA Abbott, P. Taylor. The Paradox of Parrondo’s Games. Proceedings of the Royal Society of London: Series A, 456, 247–260, 2000.

  • GP Harmer, DA Abbott, P. Taylor, JMR Parrondo. Brownian Ratchets and Parrondo’s Games. Chaos, 11, 705–714, 2000.

  • SA Berezner, JM de Kock, AE Krzesinski, P. Taylor. Local Reconfiguration of ATM Virtual Path Connection Networks. Broadband Communications: Convergence of Network Technologies, - Proceedings of IFIP Fifth International Conference on Broadband Communications, 621–630, 1999.

  • N Bean, D Green, P. Taylor. The output process of an MMPP/M/1 queue. Journal of Applied Probability, 35, 998-1002, 1998. doi: 10.1239/jap/1032438394.

  • P. Taylor, N van Dijk. Strong stochastic bounds for the stationary distribution of a class of multicomponent performability models. Operations Research, 46, 665-674, 1998. doi: 10.1287/opre.46.5.665.

  • NG Bean, DA Green, P. Taylor. Approximations to the Output Processes of MAP/M/1 Queues. Advances in Matrix Analytic Methods for Stochastic Models, 151–170, 1998.

  • MA Stewart, P. Taylor. Circuit Reservation for Links Shared by Different Operating Companies. Proceedings of EMAC’98, Third Biennial Engineering Mathematics and Applications Conference, 467–470, 1998.

  • NG Bean, JM Li, P. Taylor. Some Asymptotic Properties of Two-Stage Tandem Networks of Ph/Ph/1 Queues. Advances in Matrix Analytic Methods for Stochastic Models, 171–194, 1998.

  • NG Bean, G Latouche, P. Taylor. Quasi-Reversibility and Quasi-Birth-and-Death Processes. Advances in Matrix Analytic Methods for Stochastic Models, 115–134, 1998.

  • NG Bean, PK Pollett, P. Taylor. The Quasistationary Distributions of Level-Independent Quasi-Birth-and-Death Processes. Stochastic Models, 14, 389–406, 1998.

  • G Latouche, CEM Pearce, P. Taylor. Invariant Measures for Quasi-Birth-and-Death Processes. Stochastic Models, 14, 443–460, 1998.

  • SA Berezner, AE Krzesinski, P. Taylor. On the Inverse of Erlang's Function. Journal of Applied Probability, 35, 1–7, 1998.

  • JL Coleman, W Henderson, CEM Pearce, P. Taylor. A correspondence between product-form batch-movement queueing networks and single-movement networks. Journal of Applied Probability, 34, 160-175, 1997. doi: 10.1017/S0021900200100798.

  • M Miyazawa, P. Taylor. A geometric product-form distribution for a queueing network with non-standard batch arrivals and batch transfers. Advances in Applied Probability, 29, 523-544, 1997. doi: 10.1017/S0001867800028111.

  • N Bean, L Bright, G Latouche, CEM Pearce, P Pollett, P. Taylor. The Quasi-Stationary Behaviour of Quasi-Birth-and-Death Processes. Annals of Applied Probability, 7, 134-155, 1997.

  • NG Bean, FP Kelly, P. Taylor. Braess’s Paradox in a Loss Network. Journal of Applied Probability, 34, 155–159, 1997.

  • SA Berezner, AE Krzesinski, P. Taylor. A Product-Form 'Loss Network' with a Form of Queueing. Journal of Applied Probability, 34, 1075–1078, 1997.

  • JL Coleman, W Henderson, P. Taylor. Product form equilibrium distributions and a convolution algorithm for stochastic Petri nets. Performance Evaluation, 26, 159-180, 1996. doi: 10.1016/0166-5316(95)00023-2.

  • V Ramaswami, P. Taylor. An operator-analytic approach to product-form networks. Communications in Statistics. Part C: Stochastic Models, 12, 121-142, 1996. doi: 10.1080/15326349608807376.

  • V Ramaswami, P. Taylor. Some properties of the rate matrices in level dependent quasi-birth-and-death processes with a countable number of phases. Communications in Statistics. Part C: Stochastic Models, 12, 143-164, 1996. doi: 10.1080/15326349608807377.

  • LW Bright, P. Taylor. Equilibrium Distributions for Level-Dependent Quasi-Birth-and-Death Processes. Matrix-Analytic Methods in Stochastic Models, 183, 359–375, 1996.

  • N Bean, P. Taylor. Maximal Profit Dimensioning and Tariffing of Loss Networks. Probability in the Engineering and Informational Sciences, 9, 323-340, 1995. doi: 10.1017/S0269964800003909.

  • L Bright, P. Taylor. Calculating the equilibrium distribution in level dependent quasi-birth-and-death processes. Communications in Statistics. Stochastic Models, 11, 497-525, 1995. doi: 10.1080/15326349508807357.

  • W Henderson, BS Northcote, P. Taylor. Triggered batch movement in queueing networks. Queueing Systems, 21, 125-141, 1995. doi: 10.1007/BF01158577.

  • AJ Coyle, W Henderson, CEM Pearce, P. Taylor. Mean-Value Analysis for a Class of Petri Nets and Batch-Movement Queuing-Networks with Product-Form Equilibrium Distributions. Mathematical and Computer Modelling, 22, 27-34, 1995. doi: 10.1016/0895-7177(95)00177-4.

  • DL Pallant, P. Taylor. Modeling Handovers in Cellular Mobile Networks with Dynamic Channel Allocation. Operations Research, 43, 33-42, 1995. doi: 10.1287/opre.43.1.33.

  • W Henderson, CEM Pearce, P. Taylor, N van Dijk. Insensitivity in Discrete Time Generalised Semi-Markov Processes. Annals of Applied Probability, 5, 78–96, 1995.

  • F Callegati, P. Taylor. On Dynamic Channel Allocation in Urban Cellular Networks. Australian Teletraffic Research, 29, 39–42, 1995.

  • AJ Coyle, P. Taylor. Tight Bounds for the Sensitivity of Generalised Semi-Markov Processes with a Single Generally Distributed Lifetime. Journal of Applied Probability, 32, 63–73, 1995.

  • AJ Coyle, P. Taylor. Tight bounds on the sensitivity of generalised semi-Markov processes with a single generally distributed lifetime. Journal of Applied Probability, 32, 63-73, 1995. doi: 10.2307/3214921.

  • W Henderson, BS Northcote, P. Taylor. Geometric equilibrium distributions for queues with interactive batch departures. Annals of Operations Research, 48, 493-511, 1994. doi: 10.1007/BF02033316.

  • DL Pallant, P. Taylor. Approximation of Performance-Measures in Cellular Mobile Networks with Dynamic Channel Allocation. Telecommunication Systems, 3, 129-163, 1994. doi: 10.1007/BF02110140.

  • AJ Coyle, W Henderson, CEM Pearce, P. Taylor. A General Formulation for Mean-Value Analysis in Product-Form Batch-Movement Queueing-Networks. Queueing Systems, 16, 363-372, 1994. doi: 10.1007/BF01158962.

  • JL Coleman, W Henderson, P. Taylor. A Convolution Algorithm for Calculating Exact Equilibrium Distributions in Resource-Allocation Problems with Moderate User Interference. IEEE Transactions on Communications, 42, 1106-1111, 1994. doi: 10.1109/TCOMM.1994.580219.

  • E Chlebus, AJ Coyle, W Henderson, CEM Pearce, P. Taylor. Mean Value Analysis for Examining Call Admission Control Thresholds in Multi-service Networks. Proceedings of the 14th International Teletraffic Congress, 1994.

  • W Henderson, BS Northcote, P. Taylor. Networks of Customer Queues and Resource Queues. Proceedings of the 14th International Teletraffic Congress, 1994.

  • W Henderson, BS Northcote, P. Taylor. State Dependent Signalling in Queueing Networks. Advances in Applied Probability, 26, 436–455, 1994.

  • W Henderson, BS Northcote, P. Taylor. State-dependent signalling in queueing networks. Advances in Applied Probability, 26, 436-455, 1994. doi: 10.2307/1427445.

  • W Henderson, BS Northcote, P. Taylor. Networks of customer queues and resource queues. 1, 853-864, Elsevier, 1994. doi: 10.1016/b978-0-444-82031-0.50089-5.

  • P Pollett, P. Taylor. On the problem of establishing the existence of stationary distributions for continuous-time markov chains. Probability in the Engineering and Informational Sciences, 7, 529-543, 1993. doi: 10.1017/S0269964800003119.

  • RJ Boucherie, P. Taylor. Transient product from distributions in queueing networks. Discrete Event Dynamic Systems: Theory and Applications, 3, 375-396, 1993. doi: 10.1007/BF01439160.

  • AJ Coyle, W Henderson, P. Taylor. Reduced load approximations for loss networks. Telecommunication Systems, 2, 21-50, 1993. doi: 10.1007/BF02109849.

  • N van Dijk, P. Taylor. An error bound for a continuous time approximation of discrete time servicing with a continuous time modification. Stochastic Models, 8, 651-664, 1992. doi: 10.1080/15326349208807245.

  • W Henderson, P. Taylor. Insensitivity in discrete time queues with a moving server. Queueing Systems, 11, 273-297, 1992. doi: 10.1007/BF01164006.

  • P. Taylor. Algebraic Criteria for Extended Product Form in Generalized Semi-Markov Processes. Stochastic Processes and their Applications, 42, 269-282, 1992. doi: 10.1016/0304-4149(92)90039-S.

  • W Henderson, CEM Pearce, P Pollett, P. Taylor. Connecting Internally Balanced Quasireversible Markov Processes. Advances in Applied Probability, 24, 934–959, 1992.

  • W Henderson, P. Taylor. Discrete Time Queueing Networks with Geometric Release Probabilities. Advances in Applied Probability, 24, 229–233, 1992.

  • AJ Coyle, P. Taylor. Bounds on the Sensitivity of Processes with a Single Generally Distributed Lifetime. Mathematics of Operations Research, 17, 132–148, 1992.

  • W Henderson, P. Taylor. Discrete-time queueing networks with geometric release probabilities. Advances in Applied Probability, 24, 229-233, 1992. doi: 10.2307/1427741.

  • W Henderson, CEM Pearce, PK Pollett, P. Taylor. Connecting internally balanced quasi-reversible Markov processes. Advances in Applied Probability, 24, 934-959, 1992. doi: 10.2307/1427720.

  • W Henderson, CEM Pearce, PK Pollett, P. Taylor. Connecting internally balanced quasi-reversible Markov processes. Advances in Applied Probability, 24, 934-959, 1992. doi: 10.1017/s0001867800025027.

  • W Henderson, P. Taylor. Embedded Processes in Stochastic Petri Nets. IEEE Transactions on Software Engineering, 17, 108-116, 1991. doi: 10.1109/32.67592.

  • W Henderson, P. Taylor. Some New Results on Queueing Networks with Batch Movement. Journal of Applied Probability, 28, 409–421, 1991.

  • D Economou, P. Taylor. A Continuous Approximation for Segmentation and Reassembly Buffer Occupancy Distribution in a Cyclic Queue. Proceedings of the ITC Specialists’ Seminar - Telecommunications Services for Developing Economies, 220–231, 1991.

  • W Henderson, P. Taylor. Product form in networks of queues with batch arrivals and batch services. Queueing Systems, 6, 71-87, 1990. doi: 10.1007/BF02411466.

  • W Henderson, CEM Pearce, P. Taylor, N van Dijk. Closed queueing networks with batch services. Queueing Systems, 6, 59-70, 1990. doi: 10.1007/BF02411465.

  • W. Henderson, P. Taylor. Insensitivity in Processes with Interruptions. Journal of Applied Probability, 26, 205-206, 1989. doi: 10.1016/0304-4149(87)90113-X.

  • P. Taylor. Insensitivity in Processes with Zero Speeds. Advances in Applied Probability, 21, 207, 1989.

  • W Henderson, P. Taylor. Aggregation methods in exact performance analysis of stochastic Petri nets. Proceedings of the Third International Workshop on Petri Nets and Performance Models, 12-18, 1989.

  • W Henderson, D Lucic, P. Taylor. A Net Level Performance Analysis of Stochastic Petri Nets. Journal of the Australian Mathematical Society Series B, 31, 176–187, 1989.

  • P. Taylor. Insensitivity in processes with zero speeds. Advances in Applied Probability, 21, 612-628, 1989. doi: 10.2307/1427639.

  • M. Rumsewicz, P. Taylor. A Spot-Welding Reliability Problem. Journal of the Australian Mathematical Society Series B, 29, 233 (1pp), 1988. doi: 10.1016/0304-4149(87)90170-0.

  • W Henderson, P. Taylor. Alternative Routing Networks and Interruptions. Proceedings of the 12th International Teletraffic Conference, 5.1B.2., 1988.