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Maths and Stats : Faculty of Science
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MORe: Professor Peter Taylor

Short Biography

Peter is Professor of Operations Research at the University of Melbourne. He is also a chief investigator of the ARC Centre of Excellence in the Mathematics and Statistics of Complex Systems (MASCOS) and a member of Centre for Ultra Broadband Information Networking (CUBIN) in the Department of Electrical and Electronic Engineering. Peter is a former director of the Teletraffic Research Centre and Adstat Solutions at the University of Adelaide.

 

Consulting Activities

Peter has many years of consulting experience through numerous University Consulting Groups and private consulting. Some of the industries he has been involved with include:
  • Call Centre
  • Defence
  • Mineral Resources
  • Telecomunications
  • Health Care and Medicine
  • Finance and Banking

Technical Expertise

  • Stochastic Modelling
    • Markov Modelling
    • Markov Decision Theory
  • Telecomunications
    • Network Design and Optimisation
    • Call Admission Control
    • Dynamic Routing
    • Flow Control Algorithms
    • Performance Analysis
  • Petri Nets
    • Stochastic Petri Nets
  • Reliability Analysis

Research Interests

  • stochastic modelling,
  • Markov processes,
  • queueing theory,
  • modelling of telecommunications systems,
  • design and analysis of traffic control algorithms,
  • optimisation and control,
  • modelling of biological systems,
  • parameter estimation,
  • stochastic Petri nets.

 

Publications

  1. M.P. Rumsewicz and P.G. Taylor, A Spot Welding Reliability Problem, Journal of the Australian Mathematical Society Series B, 29, (1988) 257{265.

  2. W. Henderson and P.G. Taylor, Insensitivity in Processes with Interruptions, Journal of Applied Probability, 26, (1989) 242{258.

  3. W. Henderson and P.G. Taylor, Alternative Routing Networks and Interruptions Proceedings of the 12th International Teletrac Conference, Torino, (1988) 5.1B.2.

  4. P.G. Taylor, Insensitivity in Processes with Zero Speeds, Advances in Applied Probability, 21, (1989) 612{628.

  5. W. Henderson, D. Lucic and P.G. Taylor, A Net Level Performance Analysis of Stochastic Petri Nets, Journal of the Australian Mathematical Society Series B, 31, (1989) 176{187. Page 10 of 16 PETER TAYLOR

  6. W. Henderson and P.G. Taylor, Aggregation Methods in Exact Performance Analysis of Stochastic Petri Nets, Proceedings of the Third International Workshop on Petri Nets and Performance Models, Kyoto (1989) 12{18.

  7. W. Henderson, C.E.M. Pearce, P.G. Taylorand N.N. van Dijk, Closed Queueing Networks with Batch Services, Queueing Systems, 6, (1990) 59{70.

  8. W. Henderson and P.G. Taylor, Product Form in Networks of Queues with Batch Arrivals and Batch Services, Queueing Systems, 6, (1990) 71-88.

  9. W. Henderson and P.G. Taylor, Embedded Processes in Stochastic Petri Nets, IEEE Transactions in Software Engineering, 17, No 2, (1991) 108{116.

  10. D. Economou and P.G. Taylor, A Continuous Approximation for Segmentation and Reassembly Bu er Occupancy Distribution in a Cyclic Queue, Proceedings of the ITC Specialists' Seminar - Telecommunications Services for Developing Economies, Krakow April 1991, 220{231.

  11. W. Henderson and P.G. Taylor, Some New Results on Queueing Networks with Batch Movement, Journal of Applied Probability, 28, (1991) 409{421.

  12. A.J. Coyle and P.G. Taylor, Bounds on the Sensitivity of Processes with a Single Generally Distributed Lifetime, Mathematics of Operations Research, 17, (1992) 132{148.

  13. W. Henderson and P.G. Taylor, Discrete Time Queueing Networks with Geometric Release Probabilities, Advances in Applied Probability, 24, (1992) 229{233.

  14. N.M. van Dijk and P.G. Taylor, An Error Bound for Approximating Discrete Time Servicing with a Continuous Time Modi cation, Stochastic Models, 8, (1992) 651{ 664.

  15. P.G. Taylor, Algebraic Criteria for Extended Product Form in Generalised Semi- Markov Processes, Stochastic Processes and their Applications, 42, (1992) 269{282.

  16. W. Henderson and P.G. Taylor, Insensitivity in Discrete Time Queues with a Moving Server, Queueing Systems, 11, (1992) 273{297.

  17. W. Henderson, C.E.M. Pearce, P.K. Pollett and P.G Taylor, Connecting Internally Balanced Quasireversible Markov Processes, Advances in Applied Probability, 24, (1992) 934{959.

  18. R. Boucherie and P.G. Taylor, Transient Product Form Distributions in Queueing Networks, Discrete Event Dynamical Systems, 3, (1993) 375{396.

  19. P.K. Pollett and P.G. Taylor, On the Problem of Establishing the Existence of Stationary Distributions for Continuous-Time Markov Chains, Probability in Engineering and Informational Science, 7, (1993) 529-543.

  20. A.J. Coyle, W. Henderson and P.G. Taylor, Reduced Load Approximations for Loss Networks, Telecommunications Systems, 2, (1993) 21{50.

  21. W. Henderson, B.S. Northcote and P.G. Taylor, Geometric Equilibrium Distributions for Networks of Queues with Interactive Batch Departures, Annals of Operations Research, 48 (1), (1994) 493{511.

  22. W. Henderson, B.S. Northcote and P.G. Taylor, State Dependent Signalling in Queueing Networks, Advances in Applied Probability, 26, (1994) 436{455.

  23. J.L. Coleman, W. Henderson and P.G. Taylor, A Convolution Algorithm for Resource Allocation Problems with Moderate User Interference, IEEE Transactions in Communications, 42, (1994) 1106{1111.

  24. W. Henderson, B.S. Northcote and P.G. Taylor, Networks of Customer Queues and Resource Queues, Proceedings of the 14th International Teletrac Congress, Antibes Juan les Pins, June 1994.

  25. E. Chlebus, A.J. Coyle, W. Henderson, C.E.M. Pearce and P.G. Taylor, Mean Value Analysis for Examining Call Admission Control Thresholds in Multi-service Networks, Proceedings of the 14th International Teletrac Congress, Antibes Juan les Pins, June 1994.

  26. D.L. Pallant and P.G. Taylor, Approximation of Performance Measures in Cellular Mobile Networks with Dynamic Channel Allocation, Telecommunications Systems, 3, (1994) 129{163.

  27. A.J. Coyle, W. Henderson, C.E.M. Pearce and P.G. Taylor, A General Formulation for Mean Value Analysis in Product Form Batch Movement Queueing Networks, Queueing Systems, 16, (1994) 363{372.

  28. D.L. Pallant and P.G. Taylor, Modelling Handovers in Cellular Mobile Networks with Dynamic Channel Allocation, Operations Research, 43, (1995) 33{42.

  29. A.J. Coyle and P.G. Taylor, Tight Bounds for the Sensitivity of Generalised Semi- Markov Processes with a Single Generally Distributed Lifetime, Journal of Applied Probability, 32, (1995) 63{73.

  30. N.G. Bean and P.G. Taylor, Maximal Pro t Dimensioning and Taring of Loss Networks, Probability in Engineering and Informational Science, 9, (1995) 323{340.

  31. F. Callegati and P.G. Taylor, On Dynamic Channel Allocation in Urban Cellular Networks, Australian Teletrac Research, 29, (1995) 39{42.

  32. L.W. Bright and P.G. Taylor, Calculating The Equilibrium Distribution In Level Dependent Quasi-birth-and-death Processes, Stochastic Models, 11, (1995) 497{526. Page 12 of 16 PETER TAYLOR

  33. A.J. Coyle, W. Henderson, C.E.M. Pearce and P.G. Taylor, Mean-Value Analysis for a Class of Petri Nets and Batch-Movement Queueing Networks with Product-Form Equilibrium Distributions, Mathematics and Computational Modelling, 22, (1995) 27{34.

  34. W. Henderson, C.E.M. Pearce, P.G. Taylorand N.M. van Dijk, Insensitivity in Discrete Time Generalised Semi-Markov Processes, Annals of Applied Probability, 5, (1995) 78{96.

  35. W. Henderson, B.S. Northcote and P.G. Taylor, Triggered Batch Movement in Queueing Networks, Queueing Systems, 21, (1995) 125{141.

  36. L.W. Bright and P.G. Taylor, Equilibrium Distributions for Level-Dependent Quasi- Birth-and-Death Processes, in Matrix-Analytic Methods in Stochastic Models, Lecture Notes in Pure and Applied Mathematics, 183, eds. S.R. Chakravarthy and A.S. Alfa, Marcel Dekker 1996.

  37. V. Ramaswami and P.G. Taylor, Some Properties of the Rate Matrices in Level Dependent Quasi-Birth-and-Death Processes with a Countable Number of Phases, Stochastic Models, 12, (1996) 143{164.

  38. V. Ramaswami and P.G. Taylor, An Operator Geometric Approach to Product Form Networks, Stochastic Models, 12, (1996) 121{142.

  39. J.L. Coleman, W. Henderson and P.G. Taylor, Product Form Equilibrium Distributions and a Convolution Algorithm for Stochastic Petri Nets, Performance Evaluation, 26, (1996) 159{180.

  40. N.G. Bean, F.P. Kelly and P.G. Taylor, Braess's Paradox in a Loss Network, Journal of Applied Probability, 34, (1997) 155{159.

  41. J.L. Coleman, W Henderson, C.E.M. Pearce and P.G. Taylor, The Correspondence Between Product Form Batch Movement Queueing Networks And Single Movement Networks, Journal of Applied Probability, (1997) 34, 160{175.

  42. M. Miyazawa and P.G. Taylor, A Geometric Product-Form Distribution for a Queueing Network with Nonstandard Batch Arrivals and Batch Transfers, Advances in Applied Probability, 29, (1997) 523{544.

  43. N.G. Bean, L Bright, G Latouche, C.E.M Pearce, P.K. Pollett and P.G. Taylor, The Quasistationary Behaviour of Quasi-Birth-and-Death Processes, Annals of Applied Probability, 7, (1997) 134{155.

  44. S.A. Berezner, A.E. Krzesinski and P.G. Taylor, On the Inverse of Erlang's Function, Journal of Applied Probability, 35, (1998) 1{7. Page 13 of 16 PETER TAYLOR

  45. G. Latouche, C.E.M. Pearce and P.G. Taylor, Invariant Measures for Quasi-Birthand- Death Processes, Stochastic Models, 14 (Special Issue in Honour of Marcel Neuts), (1998) 443{460.

  46. N.G. Bean, P.K. Pollett and P.G. Taylor, The Quasistationary Distributions of Level- Independent Quasi-Birth-and-Death Processes, Stochastic Models, 14 (Special Issue in Honour of Marcel Neuts), (1998) 389{406.

  47. N.G. Bean, G. Latouche and P.G. Taylor, Quasi-Reversibility and Quasi-Birth-and- Death Processes, Advances in Matrix Analytic Methods for Stochastic Models, The Proceedings of the Second International workshop on Matrix-Analytic Methods, Winnipeg July 24-25, 1998, eds. S.R. Chakravarthy and A.S. Alfa, Notable Publications, New Jersey, 115{134.

  48. N.G. Bean, D.A. Green and P.G. Taylor, Approximations to the Output Processes of MAP=M=1 Queues, Advances in Matrix Analytic Methods for Stochastic Models, The Proceedings of the Second International workshop on Matrix-Analytic Methods, Winnipeg July 24-25, 1998, eds. S.R. Chakravarthy and A.S. Alfa, Notable Publications, New Jersey, 151{170.

  49. N.G. Bean and J-M. Li and P.G. Taylor, Some Asymptotic Properties of Two-Stage Tandem Networks of Ph=Ph=1 Queues, Advances in Matrix Analytic Methods for Stochastic Models, The Proceedings of the Second International workshop on Matrix- Analytic Methods, Winnipeg July 24-25, 1998, eds. S.R. Chakravarthy and A.S. Alfa, Notable Publications, New Jersey, 171{194.

  50. P.G. Taylorand N.M. van Dijk, Strong Stochastic Bounds for the Stationary Distribution of a Class of Multicomponent Models, Operations Research, 46, (1998) 665{674.

  51. S.A. Berezner, A.E. Krzesinski and P.G. Taylor, A Product-Form \ Loss Network" with a Form of Queueing, Journal of Applied Probability, 34, (1998) 1075{1078.

  52. M.A. Stewart and P.G. Taylor, Circuit Reservation for Links Shared by Diferent Operating Companies, in Proceedings of EMAC '98, Third Biennial Engineering Mathematics and Applications Conference, Adelaide, Australia, 13-16 July 1998, eds. E.O. Tuck and J.A.K. Stott, The Institution of Engineers, Australia, 467{470.

  53. S.A. Berezner, J.M. de Kock, A.E. Krzesinski and P.G. Taylor, Local Recon guration of ATM Virtual Path Connection Networks, Broadband Communications: Convergence of Network Technologies, - Proceedings of IFIP Fifth International Conference on Broadband Communications, Hong Kong, 10-12 November 1999, eds. Danny H.K. Tsang and Paul J. Kuhn, Kluwer Academic Publishers, 621{630.

  54. N.G. Bean, D.A. Green and P.G. Taylor, The Output Process of an MMPP=M=1 Queue, Journal of Applied Probability, 35, (1998) 998{1002.

  55. G.P. Harmer, D.A. Abbott, P.G. Taylorand J.M.R. Parrondo, Brownian Ratchets and Parrondo's Games, Chaos, 11, (2001) 705{714. An earlier version appeared as Parrondo's Paradoxical Games and the Discrete Brownian Ratchet, Proceedings of Upon'99, The Second International Conference on Unsolved Problems of Noise and Fluctuations, University of Adelaide, July 12-16, 1999, eds. D.A. Abbott and L.B. Kish, American Institute of Physics, Melville, New York 511 (2000) 189{200.

  56. G.P. Harmer, D.A. Abbott and P.G. Taylor, The Paradox of Parrondo's Games, Proceedings of the Royal Society of London: Series A, 456, (2000) 247{260.

  57. G.P. Harmer, D.A. Abbott, P.G. Taylor, C.E.M. Pearce and J.M.R. Parrondo, Information Entropy and Parrondo's Discrete-Time Ratchet, in Stochastic and Chaotic Dynamics in the Lakes (Stochaos) eds. D.S. Broomhead, E.A. Luchinskaya, P.V.E. McClintock and T. Mullin, American Institute of Physics, Melville, New York, (2000) 502, 544{549.

  58. P.G. Taylor, Quasi-Reversibility and Networks of Queues with Non-Standard Batch Movements, Mathematics and Computational Modelling, 31, (2000) 335{341.

  59. N.G. Bean, D.R. Brown and P.G. Taylor, Maximal Pro t Dimensioning and Taring of Loss Networks with Cross-Connects, Mathematics and Computational Modelling, 31, (2000) 21{30.

  60. A. Arvidsson, J.M. de Kock, A.E. Krzesinski and P.G. Taylor, The Design of ATM Virtual Path Connection Networks with Service Separation, Proceedings of MASCOTS' 2000), The Eighth International Symposium on Modeling, Analysis, and Simulation of Computer and Telecommunication Systems, San Francisco, USA, September 2000, 424{431.

  61. N.G. Bean and J-M. Li and P.G. Taylor, Caudal Characteristics of QBDs with Decomposable Phase Spaces, in Advances in Algorithmic Methods for Stochastic Models, eds. G Latouche and P.G. Taylor, Notable Publications, New Jersey, (2000) 37{56.

  62. N.G. Bean, P.K. Pollett and P.G. Taylor, Quasistationary Distributions for Level- Dependent Quasi-Birth-and-Death Processes, Stochastic Models, 16, (2000) 511{541.

  63. G. Latouche and P.G. Taylor, Level-Phase Independence in Processes of Gi=M=1 Type, Journal of Applied Probability, 37, (2000) 984{998.

  64. W. Henderson and P.G. Taylor, State-Dependent Coupling of Quasireversible Nodes, Queueing Systems, 37, (2001) 163{197.

  65. X. Chao, W. Henderson and P.G. Taylor, State-dependent coupling of general Markov chains, Queueing Systems, 39, (2001) 337{348. Page 15 of 16 PETER TAYLOR

  66. B.A. Chiera and P. G. Taylor, What is a Unit of Capacity Worth?, Probability in Engineering and Informational Science, 16 (2002) 513{522.

  67. G. Latouche and P. G. Taylor, Truncation and Augmentation of Quasi-Birth-and- Death Processes, to appear in Stochastic Processes and their Applications.

  68. G Latouche, M-A Remiche and P. G. Taylor, Transient Markov Arrival Processes, to appear in Annals of Applied Probability.

  69. G. Latouche and P. G. Taylor, Drift Conditions for Matrix-Analytic Models, to appear in Mathematics of Operations Research.

  70. A. Costa, M. Fackrell and P.G. Taylor, Two Issues Surrounding Parrondo's Paradox, submitted.

  71. A. Arvidsson, J.M. de Kock, A.E. Krzesinski and P.G. Taylor, Cost-E ective Deployment of Bandwidth Partitioning in Broadband Networks, submitted.

  72. N.G. Bean, A Costa and P.G. Taylor, Analytic Modelling of an Agent-Based Network Routing Algorithm, submitted.

  73. B.A. Chiera, M.R. Krieg, J.W. Parrott and P.G. Taylor, Dynamic Reallocation of Capacity in Logically Fully-Connected Networks, submitted.

  74. Chia Min Lee, P.G. Taylorand Moshe Zukerman, Bounds and Approximations for Cellular Networks with Repeated Attempts in preparation.

  75. Sammy Chan, Jun Guo, K. S. Tang, P.G. Taylor, Eric W. M. Wong, and Moshe Zukerman, Load Balancing File Assignment Schemes for Multimedia Servers submitted

  76. Sammy Chan, Jun Guo, K. S. Tang, P.G. Taylor, Eric W. M. Wong, and Moshe Zukerman, On the Eficient Use of Multimedia Storage Facility submitted.

 

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