Serguei Foss

foss@ma.hw.ac.uk

http://www.ma.hw.ac.uk/~foss/foss.html


photo
  Personal Data
  Research and Professional Experience
  Teaching Experience
   Main Scientific Interests
   Administrative Duties
   Other Activities
   Publications
  Conference Presentations
   Research Awards

Personal Data


Research and Professional Experience


Teaching Experience as Professor at NSU


Main Scientific Interests


Administrative Duties


Other Activities


List of Main Publications


  1. (With B.A.Rogozin; Novosibirsk, Russia). "The Recurrence of Oscillating Random Walk". Theor.Probab.Appl., 1978, Vol.23, No.1, 161-169.
  2. "Approximation of Multichannel Queueing Systems". Siberian Math. J., 1980, Vol.21, No.6, 132-140.
  3. "On Systems with Several Classes Customers". Theor.Probab.Appl., 1980, Vol.25, No.1, 135-137.
  4. "Comparison of Service Disciplines in Multi-Server Queues". Siberian Math. J. , 1981, Vol.22, No.1, 190-197.
  5. "Extremal Problems in Queueing Theory". PhD Thesis, Novosibirsk, Institute of Mathematics. 1982, 109 p.
  6. "On Ergodicity Conditions for Multi-Server Queueing Systems". Siberian Math. J., 1983, Vol.24, No.6, 168-175.
  7. "Estimates of Convergence Rates in Multi-Server Queues". Theor.Probab.Appl., 1984, Vol.29, No.3, 605-606.
  8. "Queues with Customers of Several Types". In: Limit Theorems and Related Problems, ed. A. A. Borovkov. Optimization Software, 1984, 348-377.
  9. "On the Certain Method of the Estimation of the Convergence Rate in Ergodicity and Stability Theorems for Multi-Server Queues". In: Limit Theorems in Probability Theory. Institute of Mathematics, Novosibirsk , 1985, Vol.5, 126-137.
  10. "The Method of Renovating Events and its Applications in Queueing Theory". In: Semi-Markov Models. Theory and Applications. Proceedings of an International Symposium on Semi-Markov Processes and Their Applications. New-York: Plenum Press, 1986, 337-350.
  11. "Comparison of Service Disciplines in GI/GI/m Queues". INRIA Research Report No.1097, 1989.
  12. (With N.G. Zagorujko, V.M. Velichko, Novosibirsk) "Statistical Approach to the Speech Recognition". In: Proceedings of 15th School on Automatic Speech Recognition. Tallinn, 1989, 9-14.
  13. "Some Properties of Open Queueing Networks". Problems of Information Transmission, 1989, Vol.25, No.3, 90-97 .
  14. (With A. A. Borovkov, I. S. Borisov, etc.) "Problems and Exercises in Mathematical Statistics", Novosibirsk State University Publisher, 1989; 58 p.
  15. (With V. V. Kalashnikov; Moscow, Russia) "Regeneration and Renovation in Queues". Queueing Systems, 1991, Vol.8, No.3, 211-224.
  16. "Ergodicity of Queueing Networks". Siberian Math. J., 1991, Vol.32, No.4, 183-202.
  17. (With N. Chernova; Novosibirsk, Russia) "On Ergodicity of Multi-Server Non-Completely Admissible Communication Systems". Problems of Information Trasmission, 1991, Vol.27, No.2, 9-14.
  18. (With A. A. Borovkov; Novosibirsk, Russia) "Stochastically Recursive Sequences and Their Generalizations". Siberian Advances in Mathematics, 1992, Vol.2, No.1, 16-81.
  19. "On the Ergodicity Conditions for Stochastically Recursive Sequences". Queueing Systems, 1992, Vol.12, No.3, 287-296.
  20. "Stochastic Recursive Sequences and Their Applications in Queueing" Research Doctorate, Novosibirsk, Institute of Mathematics. 1992, 291 p.
  21. (With S. Asmussen; Denmark) "Renovation, Regeneration and Coupling in Multi- Server Queues in Continuous Time". Front. Pure and Appl. Probab.: Proceedings of 3-d Finn.-Sov. Symp. Probab. Theory and Math. Statist. Utrecht etc., 1993, Vol.1, 1-6.
  22. (With S. Zuyev) "On a Certain Segment Process with Voronoi Clustering". INRIA Research Report No. 1993, 1993.
  23. (With A. A. Borovkov) "Two Ergodicity Criteria for Stochastically Recursive Sequences". Acta Applicandae Mathematicae, 1994, Vol.34, Nos. 1-2, 125-134.
  24. (With F. Baccelli, B. Gaujal; INRIA, France) "Structural, Temporal and Stochastic Properties of Unbounded Free-Choice Petri Nets". INRIA Research Report No. 2411, 1994.
  25. (With F. Baccelli; INRIA, France) "Ergodicity of Jackson-Type Queueing Networks" Queueing Systems, 1994, Vol.17, 5-72.
    PostScript - file , PDF - file (requires Acrobat Reader)
  26. (With F. Baccelli) "On the Saturation Rule for the Stability of Queues." J.Appl.Probab., 1995, Vol.32, No.2, 494-507.
    PostScript - file , PDF - file (requires Acrobat Reader)
  27. (With N. Chernova) "Ergodic Properties of Polling Systems". Research Report 6/1995, Institute of Mathematics, Novosibirsk.
  28. (With G. Hooghiemstra, M. Keane; Delft, The Netherlands) "On a Problem of Jon Wellner." Statistica Neerlandica, 1994, Vol.48, No.2, 44-57.
    PostScript - file
  29. (With G. Last; Braunschweig, Germany) "Stability of Polling Systems with State Dependent Routing and with Exhaustive Service Policies". Annals of Appl.Probab., 1996, Vol.6, No.1, 116-137.
    PostScript - file , PDF - file (requires Acrobat Reader)
  30. (With F. Baccelli, B. Gaujal; INRIA, France) "Free Choice Petri Nets - An Algebraic Approach". IEEE Trans. Aut.Control, 1996, Vol.41, No.12, 1751-1778.
    PostScript - file
  31. (With G. Last) "Stability of Polling Systems with General Service Policies and with State Dependent Routing". TU Braunschweig Research Report No. 95/6, 1995 Probability in the Engineering and Informational Sciences, 1998, Vol.12, No.1, 49-68.
    PostScript - file , PDF - file (requires Acrobat Reader)
  32. (With A. Rybko, Moscow, Russia) "Stability of Multiclass Jackson-Type Networks". Markov Processes and Rel.Fields, 1996, Vol.2, No.3, 261-287.
    PostScript - file
  33. (With S. Zouev, INRIA, France) "On a Voronoi Aggregative Process Related to a Bivariate Poisson Process". Adv.Appl.Probab., 1996, Vol.28, No.4, 965-981.
    PostScript - file
  34. (With F. Baccelli, J.Mairesse, INRIA, France) "Stationary Ergodic Jackson Networks: Results and Counter-Examples". In: Stochastic Networks. Theory and Applications. Clarenton Press. Oxford, 1996, 281-307.
    PostScript - file
  35. (With N. Chernova) "On Stability of Polling Models with Infinite Number of Queues". Siberian Math.J., 1996, Vol.37, No.4, 940-956.
    PostScript - file (in Russian)
    PostScript - file (in English)
  36. (With N. Chernova) "Comparison Theorems and Ergodic Properties of Polling Systems." Problems of Information Transmission, 1996, Vol.32, No.4, 46-71.
    PostScript - file (in Russian)
  37. (With N. Chernova, A. Kovalevskii) "On the Stability of Polling Models". Proceedings of 34th Allerton Conference, Monticello, Illinois. 1996, 220-227.
  38. (With E. Altman; INRIA, France) "Polling on a Space with General Arrival and Service Time Distributions". Operations Research Letters, 1997, Vol.20, No.4, 187-194.
    PostScript - file
  39. (With D. A. Korshunov) "Problems and Exercises in Probability Theory", Novosibirsk State University Publisher, 1997, 116 p.
  40. (With E. Riehl and S. Stidham, Jr., UNC and E. Altman). "Perfomance Bounds and Pathwise Stability for Generalized Vacation and Polling Systems". Operation Research, 1998, Vol.46, No.1, 137-148.
    PostScript - file
  41. (With N. Chernova) "On Stability of a Partially Accessible Multi-Station Queue with State-Dependent Routing". Queueing Systems, 1998, Vol.29, No.1, 55-73.
    PostScript - file
  42. (With R.L.Tweedie, ColoState Uni.). "Perfect Simulation and Backward Coupling", Stoch. Models, 1998, Vol.14, Nos.1-2, 187-204.
    PostScript - file
  43. (With R.L.Tweedie and J.N.Corcoran, ColoState Uni.) "Simulating the Invariant Measures of Markov Chains using Backward Coupling at Regeneration Time", Probability in the Engineering and Informational Sciences , 1998, Vol.12, 303 - 320.
    PostScript - file
  44. (With A.Kovalevskii, Novosibirsk Technical University) "A Stability Criterion via Fluid Limits and Its Application to a Polling Model", Queueing Systems , Vol.32, 131-168.
    PostScript - file
  45. (With A.A.Borovkov ) "Estimates of excess over an arbitrary boundary for a random walk and their applications" (in Russian), Theory of Probability and Its Applications, 1999, Vol.44, No.2, 249-277.
    Zipped PostScript - file
  46. "Stochastic Queueing Systems and Networks" , 21 p. Submitted.
  47. (With D.A.Korshunov ) "Sampling at a random time with a heavy-tailed distribution", Markov Processes and Related Fields, 2000, V.6, p. 643-658.
    Zipped PostScript - file, PDF - file (requires Acrobat Reader)
  48. (With A.A.Borovkov ) "Renovating event" (in Russian). In: Probability and Mathematical Statistics. Encyclopaedia. Scientific Publisher ``Large Russian Encyclopaedia'', 1999, p.406.
  49. (With A.A.Borovkov , V.V. Kalashnikov) "Stability theorem in the queueing theory" (in Russian). In: Probability and Mathematical Statistics. Encyclopaedia. Scientific Publisher ``Large Russian Encyclopaedia'', 1999, p.753.
  50. (With D.E.Denisov) "On instability conditions for Markov Chains" Siberian Math. J., 2001.
    Zipped PostScript - file, PDF - file (requires Acrobat Reader)
  51. (With N. Chernova "On optimality of FCFS discipline in multi-channel queueing systems and networks". Siberian Math. J., 2000.
    Zipped PostScript - file, PDF - file (requires Acrobat Reader)
  52. (With S. Zachary) "Asymptotics for the maximum of a modulated random walk with heavy-tailed increments" Submitted to special volume in memory of F. Karpelevich, 2001.
    PDF - file (requires Acrobat Reader)
  53. (With S. Zachary) "The maximum on a random time interval of a random walk with long-tailed increments and negative drift" , 2001.
    PDF - file (requires Acrobat Reader)

Selected Conference Presentations and Lectures


Research Awards