Phil Howlett

Research Interests

Applied Mathematics Control Theory Energy efficiency Operator Algebras and Functional Analysis

Prof Phil Howlett

School of Mathematical Sciences

College of Science

Eligible to supervise Masters and PhD - email supervisor to discuss availability.

Philip George Howlett; Professor of Industrial and Applied Mathematics, UniSA; BSc (Hons); Adelaide, 1965; PhD, Adelaide, 1971. 1965 – 1989, Tutor, Senior Tutor, Lecturer, Senior Lecturer, SA Institute of Technology; 1990 – 1995, Senior lecturer, UniSA; 1996 – 2000, Associate Professor, UniSA; 2001 – 2010, Professor of Industrial and Applied Mathematics, UniSA; 2010 - present, Emeritus Professor, UniSA. Winner ASOR Ren Potts medal 2015; Winner Aust MS ANZIAM medal 2018.

Date Position Institution name
1965 - 2025 Emeritus Professor of Industrial and Applied Mathematics University of South Australia

Date Type Title Institution Name Country Amount
2015 Award 2015 Ren Potts Medal, 2018 ANZIAM Medal. Australian Society for Operations Research, Australia and New Zealand Industrial and Applied Mathematics (ANZIAM) Division of the Australian Mathematical Society Australia -

Language Competency
English Can read, write, speak, understand spoken and peer review

Date Institution name Country Title
1961 - 1971 University of Adelaide Australia PhD, BSc (Hons), BSc

Date Title Institution Country
1965 - 1971 PhD University of Adelaide Australia

Year Citation
2025 Kapsis, M., Pudney, P., Howlett, P., Zhou, P., & Albrecht, A. (2025). REDUCING ENERGY DURING SPECIFIED TIME INTERVALS FOR MULTIPLE TRAINS USING SIMPLE TRAIN MODELS. Anziam Journal, 67(e30), 1-16.
DOI Scopus1
2025 Howlett, P., Kapsis, M., & Pudney, P. (2025). Optimal driving strategies for trains on level track with bounds on energy consumption during specified intermediate time intervals. Journal of Rail Transport Planning and Management, 36(100550), 100550.
DOI
2025 Howlett, P., Beare, B. K., Franchi, M., Boland, J., & Avrachenkov, K. (2025). The Granger–Johansen representation theorem for integrated time series on Banach space. Journal of Time Series Analysis, 46(3), 432-457.
DOI Scopus1 WoS1
2025 Howlett, P., Torokhti, A., & Soto Quiros, P. (2025). Decrease in computational load and increase in accuracy for filtering of random signals. Mathematics, 13(12, article no. 1945), 1-20.
DOI
2024 Howlett, P., & Torokhti, A. (2024). Optimal approximation of a large matrix by a sum of projected linear mappings on prescribed subspaces. Electronic Journal of Linear Algebra, 40, 585-605.
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2023 Bassom, A., Howlett, P., & Taylor, P. (2023). An explicit Maclaurin series solution to a classic non-autonomous abstract evolution equation. Applied Mathematics Letters, 139(108537), 1-8.
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2023 Torokhti, A., & Howlett, P. (2023). Optimal estimation of distributed highly noisy signals within KLT-Wiener archetype. Digital Signal Processing: A Review Journal, 143(104225), 1-10.
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2023 Howlett, P., Pudney, P., & Albrecht, A. (2023). An optimal train journey with bounds on energy consumption during specified intermediate time intervals. Journal of Rail Transport Planning and Management, 27(100391), 100391.
DOI Scopus4
2023 Howlett, P., & Pudney, P. (2023). The cost differential for an optimal train journey on level track. Journal of Rail Transport Planning and Management, 26(100393), 100393.
DOI Scopus1
2023 Howlett, P., Pudney, P., & Albrecht, A. (2023). Optimal Driving Strategies for a Fleet of Trains on Level Track with Prescribed Intermediate Signal Times and Safe Separation. Transportation Science, 57(2), 399-423.
DOI Scopus7
2022 Albrecht, A., Howlett, P., & Pudney, P. (2022). Optimal Driving Strategies for Two Successive Trains on Level Track with Safe Separation. IEEE Transactions on Intelligent Transportation Systems, 23(1), 280-295.
DOI Scopus7
2022 Howlett, P., Torokhti, A., Pudney, P., & Soto-Quiros, P. (2022). Multilinear Karhunen-Loève Transforms. IEEE Transactions on Signal Processing, 70, 5148-5163.
DOI Scopus5
2020 Scheepmaker, G. M., Pudney, P. J., Albrecht, A. R., Goverde, R. M. P., & Howlett, P. G. (2020). Optimal running time supplement distribution in train schedules for energy-efficient train control. Journal of Rail Transport Planning and Management, 14(100180), 100180.
DOI Scopus40
2020 Albrecht, A., Howlett, P., & Verma, G. (2020). Inversion of operator pencils on Hilbert space. Journal of the Australian Mathematical Society, 108 8(2), 1-32.
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2020 Albrecht, A., Howlett, P., & Verma, G. (2020). Inversion of operator pencils on Banach space using Jordan chains when the generalized resolvent has an isolated essential singularity. Linear Algebra and its Applications, 595, 33-62.
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2020 Howlett, P., & Torokhti, A. (2020). An optimal linear filter for estimation of random functions in Hilbert space. ANZIAM Journal, 62(3), 274-301.
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2020 Albrecht, A., Avrachenkov, K., Howlett, P., & Verma, G. (2020). Evolutionary dynamics in discrete time for the perturbed positive definite replicator equation. ANZIAM Journal, 62(2), 148-184.
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2019 Albrecht, A., Howlett, P., & Verma, G. (2019). The fundamental equations for the generalized resolvent of an elementary pencil in a unital Banach algebra. Linear algebra and its applications, 574, 216-251.
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2019 Borwein, J., & Howlett, P. (2019). Checkerboard copulas of maximum entropy with prescribed mixed moments. Journal of the Australian Mathematical Society, 107(3), 302-318.
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2018 Albrecht, A., Howlett, P., & Verma, G. (2018). Optimal splitting of Parseval frames using Walsh matrices. Poincare journal of analysis and applications, 2018(2, SI II), 39-58.
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2018 Albrecht, A., Howlett, P., Pudney, P., Vu, X., & Zhou, P. (2018). The two-train separation problem on non-level track—driving strategies that minimize total required tractive energy subject to prescribed section clearance times. Transportation Research Part B Methodological, 111, 135-167.
DOI Scopus23
2018 Howlett, P. (2018). The two-train separation problem on level track with discrete control. ANZIAM journal, 60(2), 137-174.
DOI
2016 Albrecht, A. R., Howlett, P. G., Pudney, P. J., Vu, X., & Zhou, P. (2016). An optimal timetable for the two train separation problem on level track. Pacific journal of optimization, 12(2), 327-353.
2016 Albrecht, A., Howlett, P., Pudney, P., Vu, X., & Zhou, P. (2016). The key principles of optimal train control—Part 1: Formulation of the model, strategies of optimal type, evolutionary lines, location of optimal switching points. Transportation Research Part B Methodological, 94, 482-508.
DOI Scopus275
2016 Albrecht, A., Howlett, P., Pudney, P., Vu, X., & Zhou, P. (2016). The key principles of optimal train control—Part 2: Existence of an optimal strategy, the local energy minimization principle, uniqueness, computational techniques. Transportation Research Part B Methodological, 94, 509-538.
DOI Scopus212
2016 Albrecht, A., Howlett, P., & Pudney, P. (2016). The cost-time curve for an optimal train journey on level track. Anziam Journal, 58(1), 10-32.
DOI Scopus10
2016 Boland, J., Howlett, P., Piantadosi, J., & Zakaria, R. (2016). Modelling and simulation of volumetric rainfall for a catchment in the Murray-Darling Basin. ANZIAM journal, 58(2), 119-142.
DOI Scopus2 WoS2
2016 Howlett, P. (2016). A new look at the rate of change of energy consumption with respect to journey time on an optimal train journey. Transportation research part B: methodological, 94, 387-408.
DOI
2015 Torokhti, A., Howlett, P. G., & Laga, H. (2015). Estimation of stochastic signals under partially missing information. Signal processing, 111, 199-209.
DOI
2015 Albrecht, A. R., Howlett, P. G., Pudney, P. J., Vu, X., & Zhou, P. (2015). Energy-efficient train control: The two-train separation problem on level track. Journal of Rail Transport Planning and Management, 5(3), 163-182.
DOI Scopus51
2014 Howlett, P. G. (2014). The best weighted gradient approximation to an observed function. Journal of the Australian mathematical society, 98(1), 54-68.
DOI
2014 Howlett, P., Pearce, C., & Piantadosi, J. (2014). A new look at urban water storage in a series of connected dams. Journal of Applied Probability, 51(1), 118-135.
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2014 Albrecht, A., Howlett, P., & Pearce, C. (2014). The fundamental equations for inversion of operator pencils on Banach space. Journal of Mathematical Analysis and Applications, 413(1), 411-421.
DOI Scopus11 WoS10
2014 Torokhti, A., Howlett, P. G., & Laga, H. (2014). Estimation of large sets of stochastic signals: the case of sparse sampling. Sampling theory in signal and information processing, 13(3), 207-230.
2014 Howlett, P., Pearce, C., & Piantadosi, J. (2014). A new look at urban water storage in a series of connected dams. Journal of applied probability, 51(1), 118-135.
DOI
2014 Borwein, J., Howlett, P., & Piantadosi, J. (2014). Modelling and simulation of seasonal rainfall using the principle of maximum entropy. Entropy, 16(2), 747-769.
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2014 Torokhti, A., & Howlett, P. (2014). Estimation of noisy data: the case of partially missing information. Electronic Notes in Discrete Mathematics, 46, 305-312.
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2013 Zakaria, R., Howlett, P. G., Piantadosi, J., Boland, J. W., & Moslim, N. H. (2013). Modelling catchment rainfall using sum of correlated gamma variables. Jurnal teknologi, 63(2), 85-88.
DOI Scopus2 WoS1
2013 Pudney, P., Albrecht, A., Bunker, J., & Howlett, P. (2013). Estimating the robustness of long-haul train plans. Proceedings of the Institution of Mechanical Engineers Part F Journal of Rail and Rapid Transit, 227(5), 582-590.
DOI Scopus2
2013 Albrecht, A. R., Howlett, P. G., Pudney, P. J., & Vu, X. (2013). Energy-efficient train control: From local convexity to global optimization and uniqueness. Automatica, 49(10), 3072-3078.
DOI Scopus201
2012 Piantadosi, J., Howlett, P., Borwein, J., & Henstridge, J. (2012). Maximum entropy methods for generating simulated rainfall. Numerical algebra, control and optimization, 2(2), 233-256.
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2011 Piantadosi, J., Howlett, P. G., & Borwein, J. (2011). Copulas with maximum entropy. Optimization letters, 6(1), 99-125.
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2011 Albrecht, A. R., Howlett, P. G., & Pearce, C. E. M. (2011). Necessary and sufficient conditions for the inversion of linearly-perturbed bounded linear operators on Banach space using Laurent series. Journal of mathematical analysis and applications, 383(1), 95-110.
DOI Scopus8 WoS8
2010 Piantadosi, J., Howlett, P., Bean, N., & Beecham, S. (2010). Modelling systems of reservoirs using structured Markov chains. Institution of Civil Engineers. Proceedings. Water Management, 163(8), 407-416.
DOI Scopus4 WoS4
2010 Howlett, P., Albrecht, A., & Pearce, C. (2010). Laurent series for inversion of linearly perturbed bounded linear operators on Banach space. Journal of Mathematical Analysis and Applications, 366(1), 112-123.
DOI Scopus7 WoS6
2010 Zakaria, R., Metcalfe, A., Howlett, P. G., Piantadosi, J., & Boland, J. W. (2010). Using the skew-t copula to model bivariate rainfall distribution. ANZIAM Journal, 51(SUPPL.), 231-246.
DOI Scopus12
2010 Thomas, P., Howlett, P. G., & Piantadosi, J. (2010). Investigating the optimal management of the Helps Road Drain Urban Stormwater Harvesting System within the City of Salisbury. European Water, 29, 11-19.
2010 Boland, J. W., Filar, J. A., & Howlett, P. G. (2010). Environmental problems, uncertainty, and mathematical modeling. Notices of the American Mathematical Society, 57(10), 1286-1294.
Scopus2
2009 Piantadosi, J., Boland, J., & Howlett, P. (2009). Generating synthetic rainfall on various timescales: daily, monthly and yearly. Environmental modeling and assessment, 14(4), 431-438.
DOI Scopus36 WoS31
2009 Colgan, L., Howlett, P., & Thredgold, J. (2009). A perturbation analysis to solve the linear equations for symmetric deformation of a deep spherical shell. Mathematical and computer modelling, 49(5-6), 918-935.
DOI
2009 Albrecht, A., Howlett, P., & Coleman, D. (2009). Application of OD matrices to the design of train services. Australasian journal of engineering education, 15(2), 95-104.
2009 Howlett, P., & Piantadosi, J. (2009). An application of the pump-to-fill policy for management of urban stormwater. Environmental modeling and assessment, 14(2), 195-207.
DOI
2009 Torokhti, A., & Howlett, P. (2009). Filtering and compression for infinite sets of stochastic signals. Signal processing, 89(3), 291-304.
DOI
2009 Albrecht, A. R., Howlett, P. G., & Coleman, D. (2009). Application of origin-destination matrices to the design of train services. Australasian journal of engineering education, 15(2), 95-104.
2009 Howlett, P., Avrachenkov, K., Pearce, C., & Ejov, V. (2009). Inversion of analytically perturbed linear operators that are singular at the origin. Journal of Mathematical Analysis and Applications, 353(1), 68-84.
DOI Scopus15 WoS15
2009 Wadhawan, I. B., Pudney, P. J., Hewlett, P. G., & Piantadosi, J. (2009). Scheduling trains with cross entropy optimisation. Anziam Journal, 51(SUPPL.), C332-C346.
DOI Scopus1
2009 Albrecht, A. R., De Jong, J., Howlett, P. G., & Pudney, P. J. (2009). Estimating the robustness of train plans for single-line corridors with crossing loops. Anziam Journal, 51(SUPPL.), C768-C783.
DOI Scopus1
2009 Howlett, P. G., Pudney, P. J., & Vu, X. (2009). Local energy minimization in optimal train control. Automatica, 45(11), 2692-2698.
DOI Scopus401
2008 Webby, R., Boland, J., Howlett, P., & Metcalfe, A. (2008). Stochastic linear programming and conditional value-at-risk for water resources management. The ANZIAM Journal - On-line full-text, 48, 885-898.
DOI
2008 Piantadosi, J., Metcalfe, A., & Howlett, P. (2008). Stochastic dynamic programming (SDP) with a conditional value-at-risk (CVaR) criterion for management of storm-water. Journal of Hydrology, 348(3-4), 320-329.
DOI Scopus44 WoS34
2008 Howlett, P. G. (2008). The best gradient approximation to an observed function. Applied mathematical sciences, 2(25-28), 1365-1376.
2007 Howlett, P., Piantadosi, J., & Thomas, P. (2007). Management of water storage in two connected dams. Journal of industrial management and optimization, 3(2), 279-292.
DOI
2007 Howlett, P. G., & Piantadosi, J. (2007). A note on conditional value at risk (CVaR). Optimization, 56(5-6), 629-632.
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2007 Piantadosi, J., Howlett, P. G., & Boland, J. W. (2007). Matching the grade correlation coefficient using a copula with maximum disorder. Journal of industrial management and optimization, 3(2), 305-312.
DOI Scopus54 WoS47
2007 Howlett, P., Torokhti, A., & Pearce, C. (2007). Optimal multilinear estimation of a random vector under constraints of casualty and limited memory. Computational Statistics & Data Analysis, 52(2), 869-878.
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2007 Pearce, C., Piantadosi, J., & Howlett, P. (2007). On an optimal control policy for stormwater management in two connected dams. Journal of Industrial and Management Optimization, 3I(S 2), 313-320.
DOI
2007 Webby, R., Adamson, P., Boland, J., Howlett, P., Metcalfe, A., & Piantadosi, J. (2007). The Mekong - applications of value at risk (VaR) and conditional value at risk (CVaR) simulation to the benefits costs and consequences of water resources development in a large river basin. Ecological Modelling, 201(1 Sp. Iss.), 89-96.
DOI Scopus51 WoS45
2006 Webby, R., Boland, J., Howlett, P., Metcalfe, A., & Sritharan, T. (2006). Conditional value-at-risk for water management in Lake Burley Griffin. The ANZIAM Journal, 47, C116-C136.
2006 Torokhti, A., & Howlett, P. G. (2006). Toward best approximation of nonlinear systems: a case of models with memory. Numerical Functional Analysis and Optimisation, 27(5-6), 721-756.
DOI
2006 Thredgold, J. M., Lucas, S., & Howlett, P. G. (2006). On the contact of a rigid sphere and a thin plate. Mathematical and Computer Modelling, 43(1-2), 119-131.
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2006 Torokhti, A. P., & Howlett, P. G. (2006). Combined reduced-rank transform. Symmetry, Integrability and Geometry: Methods and Applications, 2(039).
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2006 Torokhti, A., & Howlett, P. G. (2006). Best approximation of the identity mapping: The case of variable finite memory. Journal of Approximation Theory, 143(1), 111-123.
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2006 Torokhti, A., & Howlett, P. G. (2006). Optimal transform formed by a combination of nonlinear operators : the case of data dimensionality reduction. IEEE transactions on signal processing, 54(4), 1431-1444.
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2005 Howlett, P. G., & Zaslavski, A. (2005). A porosity result in convex minimization. Abstract and applied analysis, 2005(3), 319-326.
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2005 Agrawal, M., Howlett, P. G., Lucas, S., Naik, S., & Ponnusamy, S. (2005). Boundedness of generalized Cesaro averaging operators on certain function spaces. Journal of computational and applied mathematics, 180(2), 333-344.
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2005 Torokhti, A., Howlett, P., & Pearce, C. (2005). Best causal mathematical models for a nonlinear system. IEEE Transactions on Circuits and Systems I - regular papers, 52(5), 1013-1020.
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2005 Torokhti, A., Howlett, P., & Pearce, C. (2005). Optimal recursive estimation of raw data. Annals of Operations Research, 133(1-3), 285-302.
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2004 Rosenberg, K., Boland, J. W., & Howlett, P. G. (2004). Simulation of monthly rainfall totals. ANZIAM journal, 46(5 ELECTRONIC SUPPL.), E85-E104.
Scopus26
2003 Torokhti, A., & Howlett, P. G. (2003). Constructing fixed rank optimal estimators with method of best recurrent approximations. Journal of multivariate analysis, 86(2), 293-309.
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2003 Torokhti, A., & Howlett, P. G. (2003). Method of recurrent best estimators of second degree for optimal filtering of random signals. Signal processing, 83(5), 1013-1024.
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2003 Torokhti, A., Howlett, P., & Pearce, C. (2003). Optimal mathematical models for nonlinear dynamical systems. Mathematical and Computer Modelling of Dynamical Systems, 9(3), 327-343.
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2003 Howlett, P., Torokhti, A., & Pearce, C. (2003). A philosophy for the modelling of realistic nonlinear systems. Proceedings of the American Mathematical Society, 132(2), 353-363.
DOI Scopus11
2003 Torokhti, A., Howlett, P., & Pearce, C. (2003). Method of best successive approximations for nonlinear operators. Journal of Computational Analysis and Applications, 5(3), 299-312.
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2003 Howlett, P., Pearce, C., & Torokhti, A. (2003). On nonlinear operator approximation with preassigned accuracy. Journal of Computational Analysis and Applications, 5(3), 273-297.
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2003 Torokhti, A., Howlett, P., & Pearce, C. (2003). Method of hybrid approximations for modelling of multidimensional nonlinear systems. Multidimensional Systems and Signal Processing, 14(4), 397-410.
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2003 Howlett, P., Pearce, C., & Torokhti, A. (2003). An optimal linear filter for random signals with realisations in a separable Hilbert space. The ANZIAM Journal, 44(4), 485-500.
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2003 Pudney, P. J., & Howlett, P. G. (2003). An optimal battery interchange policy for an electric car powered by a mobile solar power station. ANZIAM Journal, 44, 255.
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2002 Pudney, P., & Howlett, P. (2002). Critical Speed Control of a Solar Car. Optimization and Engineering, 3(2), 97-107.
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2002 Torokhti, A., & Howlett, P. G. (2002). Best approximation of operators in the modeling of nonlinear systems. IEEE transactions on circuits and systems I : regular papers, 49(12), 1792-1798.
DOI
2001 Avrachenkov, K., Haviv, M., & Howlett, P. G. (2001). Inversion of analytic matrix functions that are singular at the origin. SIAM journal on matrix analysis and applications.
2001 Howlett, P. G., & Leizarowitz, A. (2001). Optimal strategies for vehicle control problems with finite control sets. Dynamics of continuous disrete and implusive systems : Series B : applications and algorithms.
2001 Torokhti, A., & Howlett, P. G. (2001). On the best quadratic approximation of nonlinear systems. IEEE transactions on circuits and systems I : regular papers, 48(5), 595-602.
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2001 Torokhti, A., & Howlett, P. G. (2001). Optimal fixed rank transform of the second degree. IEEE transactions on circuits and systems II : express briefs, 48(3), 309-316.
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2001 Torokhti, A., & Howlett, P. G. (2001). An optimal filter of the second order. IEEE transactions on signal processing, 49(5), 1044-1048.
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2001 Howlett, P. G., Torokhti, A., & Pearce, C. (2001). The modelling and numerical simulation of causal non-linear systems. Nonlinear analysis, 47(8), 5559-5572.
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2001 Howlett, P. G., Pearce, C., & Torokhti, A. (2001). On problems of best approximation for nonlinear operators. Nonlinear functional analysis and applications.
2000 Howlett, P. (2000). The optimal control of a train. Annals of operations research, 98(1-4), 65-87.
DOI
1999 Cheng, J., Davydova, Y., Howlett, P., & Pudney, P. (1999). Optimal driving strategies for a train journey with non-zero track gradient and speed limits. IMA Journal of Management Mathematics, 10(2), 89-115.
DOI Scopus42
1998 Howlett, P. G., & Pudney, P. J. (1998). An optimal driving strategy for a solar powered car on an undulating road. Dynamics of Continuous Discrete and Impulsive Systems Series B Application and Algorithm, 4(4), 553-567.
Scopus24
1998 Torokhti, A., & Howlett, P. G. (1998). Weak interpolation and approximation of non-linear operators on the space C([0,1]). Numerical Functional Analysis and Optimization, 19(9), 1025-1043.
DOI
1997 Howlett, P. G., & Cheng, J. (1997). Optimal driving strategies for a train on a track with continuously varying gradient. Journal of the Australian Mathematical Society Series B: Applied Mathematics, 38(3), 388-410.
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1997 Torokhti, A., & Howlett, P. G. (1997). On the Constructive Approximation of Non-Linear Operators in the Modelling of Dynamical Systems. Journal of the Australian Mathematical Society Series B: Applied Mathematics.
1997 Torokhti, A., & Howlett, P. G. (1997). A Methodology for the Constructive Approximation of Nonlinear Operators Defined in Non Compact Sets. Numerical Functional Analysis and Optimization, 18(3-4), 343-365.
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1997 Howlett, P., Pudney, P., Tarnopolskaya, T., & Gates, D. (1997). Optimal driving strategy for a solar car on a level road. IMA Journal of Management Mathematics, 8(1), 59-81.
DOI Scopus12
1996 Howlett, P. (1996). Optimal strategies for the control of a train. Automatica, 32(4), 519-532.
DOI
1994 Howlett, P. G., Milroy, I. P., & Pudney, P. J. (1994). Energy-efficient train control. Control Engineering Practice, 2(2), 193-200.
DOI Scopus174
1994 Pudney, P., & Howlett, P. (1994). Optimal driving strategies for a train journey with speed limits. The Journal of the Australian Mathematical Society. Series B. Applied Mathematics, 36(1), 38-49.
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1993 Cheng, J., & Howlett, P. (1993). A note on the calculation of optimal strategies for the minimization of fuel consumption in the control of trains. IEEE transactions on automatic control, 38(11), 1730-1734.
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1990 Howlett, P. (1990). An optimal strategy for the control of a train. Journal of the Australian Mathematical Society: series B, applied mathematics, 31(4), 454-471.
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Year Citation
2009 Piantadosi, J., & Howlett, P. G. (2009). Analysis of a simple control policy for stormwater management in two connected dams. In C. Pearce, & E. Hunt (Eds.), Source details - Title: Optimization: structure and applications (pp. 273-306). UK: Springer.
DOI
2009 Howlett, P., Pearce, C., & Torokhti, A. (2009). New perspectives on optimal transforms of random vectors. In C. Pearce, & E. Hunt (Eds.), Optimization: Structure and Applications (Vol. 32, pp. 245-259). Dordrecht, Netherlands: Springer.
DOI
2005 Howlett, P., Piantadosi, J., & Pearce, C. (2005). Analysis of a practical control policy for water storage in two connected dams. In V. Jeyakumar, & A. Rubinov (Eds.), Continuous optimization: Current trends and modern applications (pp. 435-450). New York, USA: Springer.
2005 Torokhti, A., Howlett, P., & Pearce, C. (2005). Methods of constrained and unconstrained approximation for mappings in probability spaces. In J. Misra (Ed.), Modern Applied Mathematics (pp. 83-129). New Delhi, India: Narosa Publishing House.
2001 Boland, J., Gaitsgory, V., Howlett, P., & Pudney, P. (2001). Stochastic Optimal Control of a Solar Car. In Applied Optimization (pp. 71-81). Netherlands: Springer US.
DOI
2001 Howlett, P. G., & Avrachenkov, K. E. (2001). Laurent Series for the inversion of perturbed linear operators on Hilbert Space. In Source details - Title: Optimization and Related Topics (pp. 325-342). Netherlands.
2001 Howlett, P. G. (2001). A Markov Model for the stochastic optimal control of a solar powered car. In X. Yang (Ed.), Source details - Title: Optimization Methods and Applications (pp. 331-341). Netherlands: Springer.
DOI
2000 Howlett, P. G. (2000). A restricted variation argument to derive necessary conditions for the optimal control of a train. In Source details - Title: Progress in Optimization : Contributions from Australasia (pp. 305-314). Dordrecht, Netherlands: Kluwer.
DOI

Year Citation
2015 Albrecht, A., Howlett, P., Pudney, P., Vu, X., & Zhou, P. (2015). Energy-efficient train control: the two-train separation problem on level track. In Proceedings of the 6th International Conference on Railway Operations Modelling and Analysis - RailTokyo2015 (pp. 1-17). US: RailTec.
2015 Albrecht, A., Howlett, P., Pudney, P., Vu, X., & Zhou, P. (2015). Optimal driving strategies for two successive trains on level track subject to a safe separation condition. In Proceedings of the American Control Conference Vol. 2015-July (pp. 2924-2929). United States: IEEE.
DOI Scopus14
2014 Albrecht, A., Howlett, P., Pudney, P., Vu, X., Zhou, P., & Chen, D. (2014). Using maximum power to save energy∗. In 2014 17th IEEE International Conference on Intelligent Transportation Systems ITSC 2014 (pp. 1205-1208). US: IEEE.
DOI Scopus6
2013 Torokhti, A., Howlett, P., & Laga, H. (2013). Filtering of large signal sets: an almost blind case. In J. Terzakis, C. Paleologu, & T. Gyires (Eds.), ICCGI 2013 : The Eighth International Multi-Conference on Computing in the Global Information Technology (pp. 101-105). US: International Academy, Research, and Industry Association.
2013 Borwein, J., Howlett, P., & Piantadosi, J. (2013). Modelling and simulation of seasonal rainfall. In P. Gaertner (Ed.), 22nd National Conference of the Australian Society for Operations Research (ASOR 2013) (pp. 300-306). Australia: The Australian Society for Operations Research.
2013 Torokhti, A., Howlett, P., & Laga, H. (2013). Estimation of large data sets on the basis of sparse sampling. In Proceedings of the 10th International Conference on Sampling Theory and Applications (pp. 388-391). Germany: The European Association for Signal Processing.
2013 Zhou, P., Pudney, P., & Howlett, P. (2013). In-train forces from energy-efficient driving strategies. In P. Gaertner (Ed.), 22nd National Conference of the Australian Society for Operations Research (ASOR 2013) (pp. 293-299). Australia: Australian Society for Operations Research.
2013 Albrecht, A., Howlett, P., Pudney, P., Vu, X., & Zhou, P. (2013). The two train separation problem on level track. In P. Gaertner (Ed.), 22nd National Conference of the Australian Society for Operations Research (ASOR 2013) (pp. 247-253). Australia: The Australian Society for Operations Research.
2012 Zakaria, R., Howlett, P. G., Piantadosi, J., & Boland, J. W. (2012). Rainfall modelling using the sum of independent gamma variables. In B. Ari-Wahjoedi, R. Razali, & M. Narahari (Eds.), AIP Conference Proceedings Vol. 1482 (pp. 369-372). US: AIP - American Institute of Physics.
DOI Scopus2 WoS1
2011 Pudney, P. J., Howlett, P. G., Albrecht, A. R., Coleman, D., Vu, X., & Koelewijn, J. (2011). Optimal driving strategies with intermediate timing points. In International heavy haul association conference : IHHA 2011 (pp. 1-4). US: International Heavy Haul Association.
2011 Albrecht, A., Howlett, P., Pudney, P., & Vu, X. (2011). Optimal train control: Analysis of a new local optimization principle. In Proceedings of the American Control Conference (pp. 1928-1933). Piscataway, New Jersey, US: IEEE.
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2011 Piantadosi, J., Howlett, P., Borwein, J., & Henstridge, J. (2011). Generation of simulated rainfall data at different time-scales. In MODSIM 2011 - 19th International Congress on Modelling and Simulation - Sustaining Our Future: Understanding and Living with Uncertainty (pp. 2654-2660). Australia: Modelling and Simulation Society of Australia and New Zealand.
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2010 Zakaria, R., Boland, J. W., Piantadosi, J., & Howlett, P. G. (2010). Spatial rainfall modelling using the sum of four correlated gamma variables. In Y. Dan (Ed.), ICECS 2010: 3rd International Conference on Environmental and Computer Science - Volume 3. China: IEEE.
2010 Coleman, D., Howlett, P., Pudney, P., Vu, X., & Yee, R. (2010). Coasting boards vs Optimal control. In Iet Seminar Digest Vol. 2010 (pp. 14). US: IET.
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2010 Webby, R. B., Boland, J. W., Howlett, P. G., & Metcalfe, A. (2010). Tracking a rainfall index constrained by conditional value-at-risk. In A. Metcalfe (Ed.), Proceedings of the 9th biennial engineering mathematics and applications conference Vol. 51 (pp. C201-C214). UK: Cambridge University Press.
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2009 Coleman, D., Stoltz, C., Pudney, P., Howlett, P., Vu, X., & Albrecht, A. (2009). Using simulation to assess the benefits of energy-efficient driving strategies. In Proceedings 9th International Heavy Haul Conference Heavy Haul and Innovation Development (pp. 1048-1052). China: China Railway Publishing House.
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2009 Thomas, P., Howlett, P. G., & Piantadosi, J. (2009). Simulation and analysis of the Helps Road Drain urban stormwater harvesting system in the City of Salisbury. In Ozwater 2009. [Artarmon, N.S.W.]: Australian Water Association.
2009 Albrecht, A., De Jong, J., Howlett, P. G., Panton, D. M., & Pudney, P. J. (2009). Assessing Australian interstate train plans. In Conference on Transportation Scheduling and Disruption Handling (pp. 1-15). Australia: CTI-Monash Centre for Optimisation.
2008 Benjamin, B. R., Howlett, P. G., Pudney, P. J., & Vu, X. (2008). Freightmiser: Optimal speed profiles for long haul trains. In 10th International Conference on Application of Advanced Technologies in Transportation (pp. 1-12). Athens, Greece: AATT.
2008 Torokhti, A., & Howlett, P. G. (2008). Optimal data compression and filtering: the case of infinite signal sets. In World academy of science, engineering and technology, WASET Vol. 47 (pp. 157-168). Paris, France: WASET.
2007 Torokhti, A., Howlett, P. G., & Pearce, C. (2007). Information estimation from partially missed data. In 2007 IEEE international symposium on information theory (pp. 2011-2015). US: IEEE.
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2007 Thomas, P., Howlett, P. G., Piantadosi, J., & Boland, J. W. (2007). An SVG simulation tool for stormwater harvesting systems in the city of Salisbury. In Proceedings of the state of Australian cities national conference 2007. Australia: State of Australian Cities - SOAC.
2007 Piantadosi, J., Boland, J. W., & Howlett, P. G. (2007). Generating synthetic rainfall on various timescales : daily, monthly and yearly. In MOSIM07 : land, water and environmental management : integrated systems for sustainability (pp. 2910-2916). New Zealand: Modelling and Simulation Society of Australia and New Zealand.
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2007 Thomas, P., Howlett, P. G., Boland, J. W., & Piantadosi, J. (2007). Using an SVG simulation tool to design an urban stormwater harvesting system for the city of Salisbury. In MODSIM07: land, water and environmental management : integrated systems for sustainability (pp. 219-225). New Zealand: Modelling and Simulation Society of Australia and New Zealand.
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2007 Torokhti, A., Friedland, S., & Howlett, P. G. (2007). Towards generic theory of data compression. In 2007 IEEE international symposium on information theory (pp. 291-295). US: IEEE.
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2007 Webby, B., Adamson, P., Boland, J. W., Howlett, P. G., & Metcalfe, A. (2007). Conditional value-at-risk analysis of flooding in the Lower Mekong Basin. In IAHS Red Book 317 : Reducing the vulnerabilities of societies to water related risks at the basin scale (pp. 297-302). Germany: Integrated Water Resources Management Society.
2006 Torokhti, A., Howlett, P. G., & Pearce, C. (2006). Optimal estimation of a random signal from partially missed data. In The 14th European signal processing conference (EUSIPCO) 2006. Italy: EUSIPCO.
2006 Piantadosi, J., Howlett, P. G., & Boland, J. W. (2006). Generating daily rainfall. In Proceedings of the 15th IASTED International Conference on Applied Simulation and Modelling Vol. 2006 (pp. 181-186). United States: ACTA Press.
2006 Torokhti, A., & Howlett, P. G. (2006). Optimal linear filtering with piecewise-constant memory. In The 14th European signal processing conference (EUSIPCO) 2006. Italy: EUSIPCO.
2005 Webby, R., Adamson, P., Boland, J. W., Howlett, P. G., Metcalfe, A., & Piantadosi, J. (2005). The Mekong: applications of value at risk (VaR) and conditional value at risk (CVaR) simulation to the benefits, costs and consequences of water resources development in a large river basin. In A. Zerger (Ed.), MODSIM05 - International Congress on Modelling and Simulation: Advances and Applications for Management and Decision Making, Proceedings (pp. 2109-2115). aUSTRALIA: Modelling and Simulation Society of Australia and New Zealand.
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2005 Torokhti, A., Howlett, P., & Pearce, C. (2005). Best approximation of nonlinear systems: Optimal causal feedback models. In N. Callaos, W. Lesso, J. Su, & M. Conrad (Eds.), Proceedings of the 9th world multi-conference on systemics, cybernetics and informatics (pp. 440-445). Orlando, Florida, USA: International Institute of Informatics and Systemics.
2004 Howlett, P., Torokhti, A., & Pearce, C. (2004). An optimal feedback model for a non-linear causal system. In Proceedings of the 6th International Conference on Optimization: Techniques & Applications, 9-11 December 2004, Ballarat, Australia (pp. CDROM (16 pages)). Ballarat, Victoria: Centre for Informatics and Applied Optimization, University of Ballarat.
2004 Torokhti, A., Howlett, P. G., & Lucas, S. (2004). Method of partitioned data orthogonalization for principal component determination. In Proceedings of the Sixteenth International Symposium on Mathematical Theory of Networks and Systems 2004. Leuven, Belgium: Katolieke Universiteit.
2004 Torokhti, A., Howlett, P. G., & Pearce, C. (2004). Method of best hybrid approximations for constructing fixed rank optimal estimators. In The 6th World Congress of the Bernoulli Society for Mathematical Statistics and Probability. Spain.
2004 Torokhti, A., & Howlett, P. G. (2004). Optimal nonlinear transform formed by reduced-rank operators. In The 6th World Congress of the Bernoulli Society for Mathematical Statistics and Probability. Spain.
2004 Torokhti, A., Howlett, P. G., & Lucas, S. (2004). Principal component determination and random vector estimate with method of partitioned data orthogonalization. In The 6th World Congress of the Bernoulli Society for Mathematical Statistics and Probability. Spain.
2004 Howlett, P. G., Pudney, P. J., & Vu, X. T. T. (2004). Estimating train parameters with an unscented kalman filter. In Proceedings of the Fifth Asia Pacific Industrial Engineering and Management Systems Conference (APIEMS) 2004. Brisbane, Australia: Queensland University of Technology.
2003 Piantadosi, J., Boland, J. W., & Howlett, P. G. (2003). Analysis of simple control policies for stormwater management in two connected dams at Mawson Lakes. In Ecosystems and Sustainable Development Vol. 19 (pp. 1195-1204). Southampton, Boston: WIT Press.
2003 Rosenberg, K., Boland, J. W., & Howlett, P. G. (2003). Modelling and simulation of rainfall data at Mawson Lakes. In Fourth International Conference on Ecosystems and Sustainable Development Vol. 19 (pp. 1205-1214). UK: WIT Press.
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2003 Howlett, P. G., Ejov, V., & Avrachenkov, K. (2003). Inversion of perturbed linear operators that are singular at the origin. In 42nd IEEE conference on decision and control proceedings Vol. 6 (pp. 5628-5631). Hawaii, USA: IEEE.
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2002 Rosenberg, K. J., Boland, J. W., & Howlett, P. G. (2002). Application of laguerre polynomials to the simulation of rainfall at Mawson Lakes. In Global Solutions for Urban Drainage (pp. 1-15). USA: ASCE.
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2002 Piantadosi, J., Boland, J. W., & Howlett, P. G. (2002). Stormwater management in a sequence of interconnected storage systems. In Global Solutions for Urban Drainage (pp. 1-14). USA: ASCE.
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2002 Torokhti, A., Howlett, P. G., & Pearce, C. (2002). A causal optimal non-linear filter. In The 11th European Signal Processing Conference. Toulouse, France.
2001 Torokhti, A., Howlett, P. G., & Pearce, C. (2001). Optimal Successive Estimation of Observed Data. In The 5th International Conference on Optimization: Techniques and Applications (ICOTA) 5. Hong Kong.
2001 Howlett, P. G., Pearce, C., & Torokhti, A. (2001). Best estimators of second degree for data analysis. In The 10th International Symposium for Applied Stochastic Models and Data Analysis. France.
2000 Howlett, P. G., & Pudney, P. J. (2000). Energy-efficient driving strategies for long-haul trains. In J. Adams (Ed.), Railway Technology for the 21st Century. Adelaide: Railway Technical Society of Australasia.
1998 Howlett, P. G., Jin, H., & Mcguiness, M. (1998). Process Optimisation of Rice Gelatinisation for Beer Production. In D. Hewitt (Ed.), Proceedings of the 1998 Mathematics-in-Industry Study Group. Adelaide: University of South Australia.
1998 Pudney, P. J., Howlett, P. G., Gaitsgory, V., & Boland, J. W. (1998). Efficient frontiers and solar cars. In Solar '98, Proceedings of the Annual Conference of the Australia and New Zealand Solar Energy Society. University of Canterbury, Christchurch, New Zealand: New Zealand Branch of ANZSES.
1998 Howlett, P. G., & Zaslavski, A. (1998). On Minimization of Convex Functions in Reflexive Banach Spaces. In L. Caccetta (Ed.), Optimization Techniques and Applications. Perth, Australia.
1997 Howlett, P. G., & Thompson, C. (1997). Modelling and Optimisation of Low solids Waste Treatment Process. In Proceedings of 1997 Mathematics in Industry Study Group. Adelaide: Uni of South Australia.
1997 Torokhti, A., Howlett, P. G., Elhay, S., Gray, D., & Moran, W. (1997). Data Compression with Noise Suppression: A New Approach. In Proceedings of the International Symposium on Information Theory (pp. 189). The Netherlands: IEEE.
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1997 Howlett, P. G., & Pudney, P. J. (1997). Optimal Driving strategies for a Solar Car on an Undulating Road. In Proceedings of the International Conference on Differential Equations and Dynamical Systems. Canada: University of Waterloo.
1996 Torokhti, A., Elhay, S., Moran, W., Howlett, P., & Gray, D. (1996). Discrete tree rational transforms. In B. Boashash, N. Harle, & A. M. Zoubir (Eds.), Proceedings of the International Symposium on Signal Processing and Its Applications Isspa Vol. 1 (pp. 425-426). GOLD COAST, AUSTRALIA: QUEENSLAND UNIVERSITY TECHNOLOGY.
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1996 Torokhti, A., Gray, D., Elhay, S., Howlett, P., & Moran, W. (1996). New technique for multidimensional signal compression. In Proceedings of the International Symposium on Signal Processing and Its Applications Isspa Vol. 1 (pp. 162-165).
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Year Citation
2012 Pudney, P. J., Howlett, P. G., & Albrecht, A. R. (2012). WO2012119197, Improving timekeeping and energy efficiency for trains.
2003 Howlett, P. G., & Pudney, P. J. (2003). WO2003097424, System for improving timekeeping and saving energy on long-haul trains.

  • The fundamental equations for inversion of operator pencils, ARC - Discovery Projects, 01/04/2016 - 31/08/2019

  • Improving train flows with connected driver advice systems , ARC - Linkage Project, 15/12/2015 - 31/12/2018

  • Improving train flows with connected driver advice systems, TTG Transportation Technology Pty Limited, 01/07/2015 - 31/12/2018

Date Role Research Topic Program Degree Type Student Load Student Name
2023 Co-Supervisor - Doctor of Philosophy Doctorate Full Time Miss Maria Kapsis
2016 Co-Supervisor - Doctor of Philosophy Doctorate Full Time Miss Elizabeth Valwyn Bradford

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