Professor Jerzy Filar

Professor and Director of CARM

Faculty of Science
+61 7 336 52236


Jerzy Filar is the Director of the Centre for Applications in Natural Resource Mathematics within the School of Mathematics and Physics. Jerzy is a broadly trained applied mathematician with research interests spanning a spectrum of both theoretical and applied topics in Operations Research, Stochastic Modelling, Optimisation, Game Theory and Environmental Modelling. Professor Filar co-authored, or authored, five books or monographs and approximately 100 refereed research papers. He has a record of research grants/contracts with agencies and research institutes such as NSF, ARC, US EPA, World Resources Institute, DSTO and the Sir Keith and Sir Ross Smith Foundation. He is editor-in-chief of Environmental Modelling and Assessment and serves on editorial boards of Journal of Mathematical Analysis and Applications and a number of other journals. He has supervised or co-supervised 23 PhD students. Jerzy's Erdos Number is 3.

Research Interests

  • Stochastic Modelling
    Markov Decision Processes, Stochastic Games, Risk.
  • Analytic Perturbation Theory and Applications
    Regular and singular perturbations of matrices and operators and their applications to optimisation and Markov chains.
  • Operations Research and Optimisation
    Linear, nonlinear and dynamic programming. Applications to patient flow modelling, airport recovery problem, electricity grid operations.
  • Environmental Modelling
    Sustainable fisheries, sustainability and the times scales conjecture, cascading errors in complex models of the environment, evolutionary games.
  • Graph Theory
    Hamiltonian cycle problem, spectral properties of regular graphs.
  • Game Theory
    Non-cooperative dynamic games, games with incompetent players, applications of game theory.


  • Bachelor of Science, University of Melbourne
  • Master of Science, Monash University
  • Master of Arts, University of Illinois
  • Doctor of Philosophy, University of Illinois


View all Publications



Book Chapter

  • Haythorpe, Michael and Filar, Jerzy A. (2014). A linearly-growing conversion from the set splitting problem to the directed Hamiltonian cycle problem. In Optimization and control methods in industrial engineering and construction (pp. 35-52) Dordrecht, The Netherlands: Kluwer Academic Publishers. doi:10.1007/978-94-017-8044-5_3

  • Boland, J., Pudney, P. and Filar, Jerzy A. (2013). Electricity Supply Without Fossil Fuels. In Ting Yu, Nitesh V. Chawla and Simeon Simoff (Ed.), Computational Intelligent Data Analysis for Sustainable Development (pp. 489-497) Boca Raton Florida, United States: Chapman and Hall / CRC Press.

  • Chiera, Belinda A., Filar, Jerzy A., Zachary, Daniel S. and Gordon, Adrian H. (2009). Comparative forecasting and a test for persistence in the El Nino Southern Oscillation. In Jerzy A. Filar and Alain Haurie (Ed.), Uncertainty in environmental decision making: a handbook of research and best practice (pp. 253-272) New York, United States: Springer. doi:10.1007/978-1-4419-1129-2_9

  • Filar, Jerzy A., Hudson, Irene, Matthew, Thomas and Sinha, Bimal (2008). Analytic perturbations and systematic bias in statistical modeling and inference. In N. Balakrishnan, Edsel A. Peña and Mervyn J. Silvapulle (Ed.), Beyond Parametrics in Interdisciplinary Research: Festschrift in Honor of Professor Pranab K. Sen (pp. 17-34) Beachwood, Ohio, United States: Institute of Mathematical Statistics. doi:10.1214/193940307000000022

  • Beck, Justin and Filar, Jerzy A. (2007). Games incompetence and training. In Steffen Jørgensen, Marc Quincampoix and Thomas L. Vincent (Ed.), Advances in dynamic game theory: numerical methods, algorithms, and applications to ecology and economics (pp. 93-110) Boston, MA, United States: Birkhauser. doi:10.1007/978-0-8176-4553-3_5

  • Filar J.A. and Kang B. (2006). Two types of risk. In (pp. 109-140) : Springer New York LLC.

  • Filar, Jerzy A., Manyem, Prabhu, Visser, Marc Simon and White, Kevin (2003). Air traffic management at Sydney with cancellations and curfew penalties. In Panos M. Pardalos and Victor Korotkikh (Ed.), Optimization and industry: new frontiers (pp. 113-140) Boston, USA: Kluwer. doi:10.1007/978-1-4613-0233-9_5

  • Lin, Yuanlie, Filar, Jerzy A. and Liu, Ke (2002). Finite horizon portfolio risk models with probability criterion. In Markov processes and controlled Markov chains (pp. 405-424) Dordrecht, The Netherlands: Kluwer Academic Publishers. doi:10.1007/978-1-4613-0265-0_26

  • Filar, Jerzy A. and Xianping, Guo (2002). Linear program for communicating MDPs with multiple constraints. In Zhenting Hou, Jerzy A. Filar and Anyue Chen (Ed.), Markov processes and controlled Markov chains (pp. 245-254) Dordecht, Netherlands: Kluwer. doi:10.1007/978-1-4613-0265-0_14

  • Filar, J. A. (2002). Mathematical Models. In Knowledge for Sustainable Development: An Insight into the Encyclopedia of Life Support Systems (pp. 339-354) Johannesburg, South Africa: UNESCO/EOLSS.

  • Avrachenkov, Konstantin E., Filar, Jerzy and Haviv, Moshe (2002). Singular perturbations of Markov chains and decision processes. In Eugene A. Feinberg and Adam Shwartz (Ed.), Handbook of Markov decision processes: methods and applications (pp. 113-150) Boston, United States: Kluwer Academic Publishers. doi:10.1007/978-1-4615-0805-2_4

  • Andramonov, Mikhail, Filar, Jerzy A., Pardalos, Pardalos and Rubinov, Alexander (2000). Hamiltonian cycle problem via Markov chains and min-type applications. In Panos M. Pardalos (Ed.), Approximation and complexity in numerical optimization: continuous and discrete problems (pp. 31-47) Dordrecht, Netherlands: Springer US. doi:10.1007/978-1-4757-3145-3_3

  • Connell, S. A., Filar, Jerzy A., Szczechla, W. W. and Vrieze, O. J. (1999). Discounted stochastic games, a complex analytic perspective. In Bardi Martino, T. E. S. Raghavan and T. Parthasarathy (Ed.), Stochastic and differential games: theory and numerical methods (pp. 271-296) Boston, UK: Birkhauser. doi:10.1007/978-1-4612-1592-9_6

  • Filar, J. A. and Haurie, A. (1998). Uncertainty in Environmental Models: Dynamic Systems Perspective. In Greppin, H., Degli Agosti, R. and Pennel, C. (Ed.), The Co-Action between Living Systems and the Planet (pp. 283-302) Geneva, Switzerland: University of Geneva Press.

  • Filar, J. A. and Liu, Ke (1997). Hamiltonian Cycle Problem and a Singularly Perturbed Markov Decision Process. In Ferguson, T., Shapley, L. S. and MacQueen, J. B. (Ed.), Statistics, probability, and game theory : papers in honor of David Blackwell (pp. 45-63) USA: Institute of Mathematical Statistics.

  • Curiel, I., Filar, J. A. and Zapert, R. (1997). Relative Contribution of the Enhanced Greenhouse Effect on the Coastal Changes in Louisiana. In Martin, W. E. and McDonald, L. A. (Ed.), Modeling Environmental Policy (pp. 161-184) New York, USA: Kluwer.

  • Filar, J. A. and Zapert, R. (1996). Uncertainty Analysis of a Greenhouse Model. In Haurie, A. and Carraro, C. (Ed.), Operations Research and Environmental Management (pp. 101-118) Dordrecht, The Netherlands: Kluwer.

  • Chen, Ming and Filar, J. A. (1992). Hamiltonian Cycles, Quadratic Programming, and Ranking of Extreme Points. In Floudas, C. and Pardalos, P. (Ed.), Recent Advances in Global Optimization (pp. 32-49) USA: Princeton University Press.

  • Abbad, M. and Filar, J. A. (1992). Singularly Perturbed Limiting Average Stochastic Game Problems. In Game theory and economic applications (pp. 69-97) Germany: Spring.

  • Braddock, R. D., Filar, J. A. and Zapert, R. (1992). System and Control Theory Perspectives of the IMAGE Greenhouse Model. In Duncan, T. and Pasik-Duncan, B. (Ed.), Stochastic Theory and Adaptive Control (pp. 54-68) Heidelberg, Germany: Springer-Verlag.

  • Filar, Jerzy A. and Tolwinski, Boleslaw (1991). On the algorithm of Pollatschek and Avi-Itzhak. In T. E. S. Raghavan, T. S. Ferguson, T. Parthasarathy and O. J. Vrieze (Ed.), Stochastic games and related topics (pp. 59-70) Amsterdam, The Netherlands: Springer. doi:10.1007/978-94-011-3760-7_6

  • Braddock, R. D. and Filar, J. A. (1991). Response times of the ocean. In Robert G. Bell (Ed.), Coastal engineering: climate for change (pp. 22-27) Hamilton, New Zealand: DSIR Marine and Fishwater.

Journal Article

Conference Publication

  • Ben-Tovim, D. I., Filar, J. A., Hakendorf, P. H., Qin, S., Thompson, C. H. and Ward, D. A. (2015). Hospital Event Simulation Model: Arrivals to Discharge. In: Weber, T., McPhee, M. J. and Anderssen, R. S., MODSIM2015, 21st International Congress on Modelling and Simulation. Modelling and Simulation Society of Australia and New Zealand. MODSIM2015, 21st International Congress on Modelling and Simulation. Modelling and Simulation Society of Australia and New Zealand, Broadbeach, Queensland, Australia, (1640-1646). 29 November - 4 December 2015.

  • Clissold, A., Filar, J., Qin, S. and Ward, D. (2015). Markov decision process model for optimisation of patient flow. In: T. Weber, M. J. McPhee and R. S. Anderssen, MODSIM2015, 21st International Congress on Modelling and Simulation. Modelling and Simulation Society of Australia and New Zealand. MODSIM2015, 21st International Congress on Modelling and Simulation. Modelling and Simulation Society of Australia and New Zealand, Broadbeach, QLD, Australia, (1752-1758). 29 Nov - 4 Dec 2015.

  • Liu K. and Filar J.A. (2005). Weighted singularly perturbed hybrid stochastic systems. In: , , (41-54). . doi:10.1007/s00186-005-0440-7

  • Ejov, V, Filar, J and Gondzio, J (2004). An Interior point heuristic for the hamiltonian cycle problem via markov decision processes. In: 4th International Conference on Frontiers in Global Optimization, Santorini Greece, (315-334). Jun 08-12, 2003. doi:10.1023/B:JOGO.0000044772.11089.1a

  • Filar, J. A., Gondzio, J., Haurie, A., Moresino, F. and Vial, J. -P. (2000). Decomposition and parallel processing techniques for two-time scale controlled Markov chains. In: Proceedings of the 39th IEEE Conference on Decision and Control. 39th IEEE Conference on Decision and Control, Sydney, Australia, (711-716). 12 - 15 December 2000. doi:10.1109/CDC.2000.912851

  • Filar, J. A. and Haurie, A. (1997). Optimal Ergodic Control of Singularly Perturbed Hybrid Stochastic Systems. In: Zhang, Qing and Yin, George, 1996 AMS-SIAM Summer Seminar, Williamsburg, Virginia, USA, (101-126). 17-22 June, 1996.

  • Filar, J. A., Gaertner, P. S. and Janssen, M. A. (1996). An application of optimization to the problem of climate change. In: State of the Art in Global Optimization. Conference on the State of the Art in Global Optimization - Computational Methods and Applications, Princeton Nj, (475-498). Apr 28-30, 1995.

  • Bielecki, T. R., Filar, J. A. and Gaitsgory, V. (1996). Asymptotic Analysis of a Stochastic Manufacturing System with Slow and Fast Motions. In: 35th IEEE Conference on Decision and Control, Japan, (531-532). 13 December 1996.

  • Abbad Mohammed and Filar Jerzy A. (1992). Perturbation theory for semi-Markov control problems. In: , , (489-493). .

  • Abbad, M. and Filar, J. A. (1991). Aggregation-disaggregation algorithm for epsilon /sup 2/-singularly perturbed limiting average Markov control problems. In: 30th IEEE Conference on Decision and Control 1991, Brighton, UK, (465-470). 11-13 December 1991.

  • Filar, Jerzy A., Krass, Dmitry and Ross, Keith (1989). Percentile objective criteria in limiting average Markov control problems. In: Proceedings of the 28th IEEE Conference on Decision and Control. 28th IEEE Conference on Decision and Control, Tampa FL, USA, (1273-1276). 13-15 Dec 1989. doi:10.1109/CDC.1989.70342

  • Filar, Jerzy A. and Krass, Dmitry (1987). The Embedding of the Traveling Salesman Problem in a Markov Decision Process. In: Proceedings of the 26th IEEE Conference on Decision and Control. 26th IEEE Conference on Decision and Control, Los Angeles, California, USA, (2255-2263). 9-11 December 1987. doi:10.1109/CDC.1987.272943

  • Filar, J. A. and Lee, H. M. (1985). Gain/variability tradeoffs in undiscounted Markov decision processes. In: Proceedings of the 24th IEEE Conference on Decision and Control. 24th IEEE Conference on Decision and Control, Fort Lauderdale, FL, United States, (1106-1112). 11-13 December 1985. doi:10.1109/CDC.1985.268672