Statistics and Probability
Department of Mathematical Sciences
The University of Liverpool

Office: 206, Department of Maths Sciences, M&O Building,
L69 7ZL, UK
Phone: +44 [0] 151 794-4737
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E-mail: piunov@liverpool.ac.uk

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CURRICULUM VITAE


Name: Alexei B. Piunovskiy

Affiliation:

  • University of Liverpool, Reader, Dep. of Mathem. Sci., M & O Building, Peach Street, The University of Liverpool, LIVERPOOL, L69 7ZL UK.
  • Tel.: +44(151)7944737
  • E-mail: piunov@liverpool.ac.uk
  • Web site: http://www.maths.liv.ac.uk/~piunov/

Birth: 16 March, 1954, Moscow, Russia.

Education:

  • Doctor of Science in Applied Mathematics, 2000, Moscow State Inst. of Physics and Technology.
  • Ph.D. in Applied Mathematics, 1981, Moscow Institute of Electronics and Mathematics.
  • M.Sc. in Applied Mathematics, 1980, Dept. of Applied Mathematics, Moscow Institute of Electronics and Mathematics.
  • M.Sc. in Electrical Engineering, 1976, Dept. of Automation and Remote Control, Moscow Institute of Electronics and Mathematics.

Professional Experience:

  • 2000-present Senior Lecturer, Reader, University of Liverpool, Dep. of Mathem. Sci., M & O Building, Peach Street, The University of Liverpool, LIVERPOOL, L69 7ZL UK.
  • 1984-2000 Researcher, Head of the Group, MOSCOW State Inst. of Physics and Technology, MOSCOW 119034, Prechistenka, 13/7, GosIFTP, Russia.
  • 1976-1984 Engineer, Computer Programmer, and Researcher, Moscow Institute of Electronics and Mathematics, MOSCOW 109028, B.Trechsvjatitelsky per., 3/12, MIEM, Russia.
  • Member of the editorial advisory board of `The Open Cybernetics and Systemics Journal'.

Professional Activities:

·         Member of the OR Society (UK) and of the American Mathematical Society.

·         Reviewer for `IEEE Trans on Aut, Control’, `SIAM J. Control and Optim.’, `Eur. J. Of Oper. Research’, `Computers and Oper. Research’, `Oper. Res.’, `MOR’, `MMOR’, `Automaticaetc: 2002-present.

·         Multiple grants from EPSRC, Royal Society, British Council, LMS.

·         Strong research links with INRIA (France), Kanagawa University (Japan) and SUNY (USA).

 

Research Interests:

  • Deterministic and stochastic optimal control: MDP, jump Markov processes, complete and partial information, scalar and vector criteria; constrained problems of optimal control. Computer simulation.
  • Application of mathematical methods to optimization problems in Operational Research, in Technical Systems, in Reliability, Queuing Theory, Finances, Economics, Epidemiology and Ecology.
  • Mathematical methods used:
    • probability theory, statistics,
    • stochastic analysis,
    • martingale theory,
    • measure theory,
    • optimal control theory,
    • mathematical programming,
    • convex analysis,
    • linear programming,
    • dynamic programming,
    • numerical methods for differential equations.

Several publications (selected, about 100 in total):

  1.  Randomized and relaxed strategies in continuous-time Markov decision processes // SIAM J. Control Optim., 2015, V.53, p.3503-3533
  2. Impulsive control for continuous-time Markov decision processes: a linear programming approach (F.Dufour – co-author) // Appl. Math. Optim. DOI10.1007/s00245-015-9310-8
  3. Modern Trends in Controlled Stochastic Processes – Vol.II (Editor), Luniver Press, Frome, 2015 323 pp
  4. The expected total cost criterion for Markov decision processes under constraints (F.Dufour – co-author) // Adv.Appl.Prob., 2013, V.45, p.837-859
  5. Examples in Markov Decision Processes. Imperial College Press, 2013. 293 p
  6. Discounted continuous-time Markov decision processes with unbounded rates: the convex analytic approach (Y.Zhang – co-author) // SIAM J. Control Optim, 2011, V.49, N.5, p.2032-2061.
  7. Random walk, birth-and-death process and their fluid approximations: absorbing case // Math. Meth. Oper. Res., 2009, V.70, p.285-312.
  8. Nonatomic total rewards Markov decision processes with multiple criteria (E.Feinberg - co-author) // J.Math.Anal.Appl., 2002, V.273, p.93-111.
  9. Controlled random sequences: methods of convex analysis and problems with functional constraints // Russ.Math.Surveys, 1998, V.53, p.1233-1293.
  10. Optimal Control of Random Sequences in Problems with Constraints. Kluwer Academic Publishers: Dordrecht-Boston-London, 1997, MIA, V.410, 360 pp

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