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Vladimir Kalashnikov: 1942–2001

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Publications

Monographs and brochures

  1. Lectures on Complex Systems Theory(with N.P. Buslenko, I.N. Kovalenko) (Sov. Radio, Moscow, 1973) (in Russian). (Translated into Polish by Panstwowe Wydawnictwo Naukowe, Warszawa, 1979.)

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  2. Qualitative Analysis of Complex Systems Behaviour by Test Functions Method(Nauka, Moscow, 1978) (in Russian).

  3. Complex Systems and Methods of Their Analysis(Znanie, Moscow, 1980) (in Russian).

  4. Organization of Complex Systems Simulation(Znanie, Moscow, 1982) (in Russian).

  5. Mathematical Methods of Stochastic Queueing Models Construction(with S.T. Rachev) (Nauka, Moscow, 1988) (in Russian). (Translated into English by Wadsworth&Brooks/Cole, 1990.)

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  6. Technology of System Modelling and Simulation(with 8 co-authors) (Mashinostroyenie, Moscow, and Verlag-Technik, Berlin, 1988) (in Russian).

  7. Reliability of Technical Systems. Handbook(with 42 co-authors) (Radio i Sviaz, Moscow, 1985) (in Russian).

  8. Handbuch der Bedienungstheorie, Vol. 1 (with 20 co-authors) (Akademie-Verlag, Berlin, 1983).

  9. Mathematical Systems Theory(with 8 co-authors) (Nauka, Moscow, 1986) (in Russian).

  10. Qualitative Estimates of Systems Reliability(Znanie, Moscow, 1989) (in Russian).

  11. Geometrical and Statistical Methods of Analysis of Star Configurations. Dating Ptolemy's Almagest(with A.T. Fomenko and G.V. Nosovsky) (CRC Press, Boca Raton, FL, 1993). (Russian edition: Factorial, Moscow, 1995.)

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  12. Ariadna's Clue in a Labyrinth of Modelling and Simulation(with B. Nemchinov and V. Simonov) (Nauka, Moscow, 1993) (in Russian).

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  13. Mathematical Methods in Queueing Theory(Kluwer Academic, Dordrecht, 1994).

  14. Topics on Regenerative Processes(CRC Press, Boca Raton, FL, 1994).

  15. Handbook of Reliability Engineering, ed. I. Ushakov (Wiley, New York, 1994).

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  16. Advances in Queueing. Models, Methods and Problems(with 24 co-authors) (CRC Press, Boca Raton, FL, 1995).

  17. Geometric Sums: Bounds for Rare Events with Applications(Kluwer Academic, Dordrecht, 1997).

Papers

  1. Some results in inventory theory, Cybernetics (1967) 3 (1971) 49-52.

  2. A queueing model, Engineering Cybernetics (1968) 6 (1969) 84-86.

  3. The use of Lyapunov's method in the solution of queueing theory problems, Engineering Cybernetics (1968) 6 (1969) 77-84.

  4. Stability of the functioning of aggregative systems, Cybernetics (1968) 4 (1972) 49-52.

  5. Estimating the reliability of redundant systems with constant restoration time by means of an analogy to the direct Lyapunov method, Engineering Cybernetics (1969) 7 (1970) 66-72.

  6. Reliability analysis by Lyapunov's method, Engineering Cybernetics (1970) 8 257-269.

  7. On the stability of queueing systems with respect to disturbances of their distribution functions (with G.Sh. Tsitsiashvili), Engineering Cybernetics (1972) 10 (1973) 211-217.

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  8. The property of γ-reflexivity for Markov sequences, Soviet Math. Dokl. 14 (1973) 1869-1873.

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  10. Certain properties of piecewise-linear Markov processes, Theory Probab. Appl. 20 (1975) 560-575.

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  11. Solution of the stability problem for regenerative processes, Soviet Math. Dokl. 18 (1977) 6-9.

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  12. Stability analysis in queueing problems by the method of test functions, Theory Probab. Appl. 22 (1977) 86-103.

  13. Uniform estimation of the convergence rate in a renewal theory for the case of discrete time, Theory Probab. Appl. 22 (1977) 390-394.

  14. Sensitivity estimation of a queueing system, Automat. Remote Control 12(1) (1981) 615-620.

  15. Continuity of random sequences and approximation of Markov chains (with S.A. Anichkin), Adv. in Appl. Probab. 13 (1981) 402-414.

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  16. Estimations of convergence rate and stability for regenerative and renovative processes, in: Colloquia Mathematica Soc. J. Bolyai 24. Point Processes and Queueing Problems, Keszthely, Hungary, 1978 (North-Holland, Amsterdam, 1981) pp. 163-180.

  17. Stability analysis of queueing systems (with G.Sh. Tsitsiashvili), J. Sov. Math. 17 (December 1981) 2238-2254.

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  18. Aggregative simulation system and directed simulation experiments, in: Contribution in Discrete Simulation and Related Fields(North-Holland, Amsterdam, 1982) pp. 57-64.

  19. A complete metric in the function space D[0,∞) and its application, in: Stability Problems for Stochastic Models, Lecture Notes in Mathematics, Vol. 982 (Springer, Berlin, 1983) pp. 60-76.

  20. The analysis of continuity of queueing systems, in: Probability Theory and Mathematical Statistics, Lecture Notes in Mathematics, Vol. 1021 (Springer, Berlin, 1983) pp. 268-278.

  21. Directed simulation experiments, in: Simulation in Research and Development(Elsevier Science/ North-Holland, Amsterdam, 1985) pp. 79-84.

  22. Characterization problems in queueing and their stability (with S.T. Rachev), Adv. in Appl. Probab. 17 (1985) 868-886.

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  23. Metric estimates of the first occurrence time in regenerative processes (with S.Yu. Vsekhsviatskii), in: Stability Problems for Stochastic Models, Lecture Notes in Mathematics, Vol. 1155 (Springer, Berlin, 1985) pp. 102-130.

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  24. Characterization of inverse problems in queueing and their stability (with S.T. Rachev), J. Appl. Probab. 23 (1986) 459-473.

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  25. Characterization of queues and its stability estimates (with S.T. Rachev), in: Proc. of the 4th Vilnius Conference on Probability Theory and Mathematical Statistics, Vol. 2 (VNU-Press, Utrecht, 1986) pp. 37-53.

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  26. The rate of convergence of Erlang distribution to the degenerate one, in: Stability Problems for Stochastic Models, Lecture Notes in Mathematics, Vol. 1155 (Springer, Berlin, 1986) pp. 95-101.

  27. Approximation of stochastic models, in: Semi-Markov Models Theory and Applications(Plenum, New York/London, 1986) pp. 319-336.

  28. Study of continuity of random sequences by constructing proximity points, J. Soviet Math. 32 (January 1986) 42-46.

  29. Estimates of convergence rate in Renyi's theorem, J. Soviet Math. 32 (March 1986) 609-618.

  30. Methods for estimating continuity in the problem of consolidation of states, J. Soviet Math. 34 (July 1986) 1488-1492.

  31. Stability in the mean of the characterization of queueing models (with S.T. Rachev), J. Soviet Math. 40 (February 1988) 502-508.

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  32. Analytical and simulation estimates of reliability for regenerative models, Systems Anal. Modelling Simulation 6(6) (1989).

  33. On the connection of Renyi's theorem and renewal theory (with S.Yu. Vsekhsviatskii), in: Stability Problems for Stochastic Models, Lecture Notes in Mathematics, Vol. 1412 (Springer, Berlin, 1989) pp. 83-102.

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  34. Regenerative queueing processes and their qualitative and quantitative analysis, Queueing Systems 6(2) (1990).

  35. Regeneration and renovation in queues (with S.G. Foss), Queueing Systems 8 (1991) 211-224.

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  36. EXAM: An object-oriented environment for simulation experiments (with A.I. Morozov, V.M. Sedunov, L.E. Shashkov), Pattern Recogn. Image Anal. 2 (1992) 66-76.

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  37. Statistical estimates of transient periods for regenerative models by the coupling method, Math. Methods Statist. 1 (1992) 39-48.

  38. The dating of Ptolemy's Almagest based on the coverings of the stars and on lunar eclipses (with A.T. Fomenko, G.V. Nosovsky), Acta Appl. Math. 29 (1992) 281-298.

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  39. Upper and lower bounds for geometric convolutions, in: Stability Problems for Stochastic Models, Lecture Notes in Mathematics, Vol. 1546 (Springer, Berlin, 1993) pp. 76-88.

  40. Crossing and comparison of regenerative processes, Acta Appl. Math. 34 (1994) 151-172.

  41. Regeneration and general Markov chains, J. Appl. Math. Stochastic Anal. 7(3) (1994) 357-371.

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  42. Sensitivity analysis of regenerative queueing models (with V.M. Sedunov), Queueing Systems 19(3) (1995) 247-268.

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  43. Bounds for geometric sums in the presence of heavy-tailed summands, Preprint of Université de Marne-La-Vallée, No 27, Department of Mathematics (September 1995).

  44. Reliability of a system with regular inspection times (with M. Roussignol), J. Math. Sci. 81(5) (1996) 2937-2950.

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  45. Two-sided bounds of ruin probabilities, Scand. Actuarial J. 1 (1996) 1-18.

  46. Failure rate in reliability: approximations and bounds (with C. Cocozza), J. Appl. Math. Stochastic Anal. 9 (1996) 497-530.

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  47. Ruin probability (with D. Konstantinidis), J. Fundamental Appl. Math. 2(4) (1996) (in Russian).

  48. Calculation of reliability characteristics for regenerative models, Serdica 22 (1996) 1001-1022.

  49. Comparison of ruin probability bounds with heavy-tailed claims, Preprint of Copenhagen University, No 140, Laboratory of Actuarial Mathematics (December 1996).

  50. Continuity of ruin probability, Preprint of Copenhagen University, No 141, Laboratory of Actuarial Mathematics (December 1996).

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  52. A simple proof of the Cramér formula, Preprint of Copenhagen University, No 149, Laboratory of Actuarial Mathematics (September 1997).

  53. Tails of geometric sums, Preprint of Université de Marne-La-Vallée (with G. Tsitsiashvili), No 27, Department of Mathematics (October 1997).

  54. Risk model with inflation (with F. Enikeeva), Theory Probab. Appl. 42 (1998) 394-396.

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  55. Bounds for geometric sums used for evaluation of reliability of regenerative models (with J.-L. Bon), J. Math. Sci. 93(4) (1999) 486-500.

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  57. Bounds for ruin probabilities in the presence of large claims and their comparison, North Amer. Actuarial J. 3(2) (1999).

  58. Tails of waiting times and their bounds (with G. Tsitsiashvili), Queueing Systems 32 (1999) 257-283.

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  59. Two-sided bounds of random sums with subexponential summands (with G. Tsitsiashvili), Problemy Peredachi Informacii 35(3) (1999) 96-108.

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  60. Continuity estimates for ruin probabilities (with F. Enikeeva and D. Rusaityte), Scandinavian Actuarial J. 1 (2001) 18-39.

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  61. NWU property of a class of random sums (with J. Cai), J. Appl. Probab. 37 (2000) 283-289.

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  62. Ruin under interest force and subexponential claims: A simple treatment (with D. Konstantinides), Insurance: Math. Econ. 27 (2000) 145-149.

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  63. Some estimates of geometric sums (with J.-L. Bon), in: Proc. of the 2nd Internat. Conf. on Mathematical Methods in Reliability, Bordeaux, France, 4-7 June, 2000, pp. 151-154.

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Authors and Affiliations

  1. Institute for Systems Analysis, 9 Prospect 60 let Oktjabrja, 117312, Moscow, Russia

    Evsey Morozov

  2. Russian State University of Oil and Gas, Leninsky Prospect 65, Moscow, 117917, Russia

    Vladimir Rykov

Authors
  1. Evsey Morozov
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  2. Vladimir Rykov
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Morozov, E., Rykov, V. Vladimir Kalashnikov: 1942–2001. Queueing Systems 38, 257–263 (2001). https://doi.org/10.1023/A:1010952922846

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