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Zeifman, Aleksander Izrailevich
Professor
Doctor of physico-mathematical sciences (1994)
E-mail:
Website: https://pm.vogu35.ru/~zai
Keywords: birth-death process, nonstationary continuous-time Markov chains, bounds on the rate of convergence and stability, approximations.
UDC: 519.217, 517.937, 519.283, 616-036.22

Subject:

Linear differential equations and continuous-time Markov chains and models.
   
Main publications:
  1. Zeifman A.I., “Some Estimates of the Rate of Convergence for Birth and Death Processes”, Journal of Applied Probability, 28 (1991), 268–277
  2. Zeifman A.I., “Upper and Lower Bounds on the Rate of Convergence for Nonhomogeneous Birth and Death Processes”, Stochastic Processes and Their Applications, 59 (1995), 157–173
  3. Granovsky B., Zeifman A., “Nonstationary Queues: Estimation of the rate of convergence”, Queueing Systems, 46 (2004), 363–388
  4. Zeifman A., Leorato S., Orsingher E., Satin Ya., Shilova G., “Some universal limits for nonhomogeneous birth and death processes”, Queueing Systems, 52 (2006), 139–151
  5. Zeifman A.I., Bening V.E., Sokolov I.A., Markovskie tsepi i modeli s nepreryvnym vremenem, ELEKS-KM, Moskva, 2008

https://www.mathnet.ru/eng/person18245
List of publications on Google Scholar
https://zbmath.org/authors/ai:zeifman.alexander-i
https://mathscinet.ams.org/mathscinet/MRAuthorID/196978
ISTINA https://istina.msu.ru/workers/14924461
https://www.webofscience.com/wos/author/record/GPS-4592-2022
https://www.scopus.com/authid/detail.url?authorId=6602506500

Publications in Math-Net.Ru Citations
2025
1. A. I. Zeifman, I. A. Usov, Ya. A. Satin, A. L. Kryukova, V. Yu. Korolev, “On one approach to obtaining the boundaries of perturbation of homogeneous Markov processes”, Dokl. RAN. Math. Inf. Proc. Upr., 523 (2025),  35–43  mathnet  elib
2. I. A. Usov, Ya. A. Satin, A. I. Zeifman, V. Yu. Korolev, “Perturbation and truncation bounds for one class of Markov processes of birth-and-death type with catastrophes”, Inform. Primen., 19:1 (2025),  67–73  mathnet
2023
3. I. A. Usov, Y. A. Satin, A. I. Zeifman, “On the rate of convergence and limiting characteristics for one quasi-birth–death process”, Inform. Primen., 17:3 (2023),  49–57  mathnet 1
2022
4. A. I. Zeifman, V. Yu. Korolev, R. V. Razumchik, Ya. A. Satin, I. A. Kovalev, “Limiting characteristics of queueing systems with vanishing perturbations”, Dokl. RAN. Math. Inf. Proc. Upr., 506 (2022),  83–88  mathnet  mathscinet  elib; Dokl. Math., 106:2 (2022), 375–379 2
5. I. A. Kovalev, Y. A. Satin, A. V. Sinitcina, A. I. Zeifman, “On an approach for estimating the rate of convergence for nonstationary Markov models of queueing systems”, Inform. Primen., 16:3 (2022),  75–82  mathnet 1
6. Ya. A. Satin, A. L. Kryukova, V. S. Oshushkova, A. I. Zeifman, “On monotonicity of some classes of Markov chains”, Inform. Primen., 16:2 (2022),  27–34  mathnet 1
7. I. A. Kovalev, Y. A. Satin, A. I. Zeifman, “Convergence rate and stability estimates for a class of nonstationary Markov models of queues with impatient customers”, Sistemy i Sredstva Inform., 32:4 (2022),  21–31  mathnet
8. I. A. Usov, I. A. Kovalev, A. I. Zeifman, “Truncation bounds for inhomogeneous Markov chains with continuous time and catastrophes”, Sistemy i Sredstva Inform., 32:1 (2022),  34–45  mathnet
2021
9. A. I. Zeifman, Ya. A. Satin, I. A. Kovalev, “On one nonstationary service model with catastrophes and heavy tails”, Inform. Primen., 15:2 (2021),  20–25  mathnet 2
2020
10. Ya. A. Satin, A. I. Zeifman, G. N. Shilova, “On approaches to constructing limiting regimes for some queuing models”, Inform. Primen., 14:2 (2020),  3–9  mathnet
2019
11. A. I. Zeifman, Ya. A. Satin, K. M. Kiseleva, “On the bounds of the rate of convergence for some queueing models with incompletely defined intensities”, Inform. Primen., 13:3 (2019),  14–19  mathnet
2018
12. V. Yu. Korolev, A. K. Gorshenin, A. I. Zeifman, “New mixture representations of the generalized Mittag-Leffler distribution and their applications”, Inform. Primen., 12:4 (2018),  75–85  mathnet  elib 2
2017
13. A. I. Zeifman, A. V. Korotysheva, Ya. A. Satin, K. M. Kiseleva, R. V. Razumchik, V. Yu. Korolev, S. Ya. Shorgin, “Truncation bounds for a class of inhomogeneous birth and death queueing models with additional transitions”, Sistemy i Sredstva Inform., 27:3 (2017),  37–51  mathnet  elib 1
2016
14. V. Yu. Korolev, A. I. Zeifman, A. Yu. Korchagin, “Asymmetric Linnik distributions as limit laws for random sums of independent random variables with finite variances”, Inform. Primen., 10:4 (2016),  21–33  mathnet  elib 3
15. V. Yu. Korolev, A. Yu. Korchagin, A. I. Zeifman, “The Poisson theorem for Bernoulli trials with a random probability of success and a discrete analog of the Weibull distribution”, Inform. Primen., 10:4 (2016),  11–20  mathnet  elib 8
16. A. I. Zeifman, A. V. Korotysheva, V. Yu. Korolev, Ya. A. Satin, “Truncation bounds for approximations of inhomogeneous continuous-time Markov chains”, Teor. Veroyatnost. i Primenen., 61:3 (2016),  563–569  mathnet  mathscinet  zmath  elib; Theory Probab. Appl., 61:3 (2017), 513–520  isi  scopus 21
2015
17. R. V. Razumchik, A. I. Zeifman, A. V. Korotysheva, Ya. A. Satin, “Energy efficiency estimation of the computational cluster using a queueing system with threshold control and time-dependent service and arrival rates”, Sistemy i Sredstva Inform., 25:4 (2015),  19–30  mathnet  elib
2014
18. A. I. Zeifman, A. V. Korotysheva, K. M. Kiseleva, V. Yu. Korolev, S. Ya. Shorgin, “On the bounds of the rate of convergence and stability for some queueing models”, Inform. Primen., 8:3 (2014),  19–27  mathnet  elib
19. A. I. Zeifman, V. Yu. Korolev, A. V. Korotysheva, S. Ya. Shorgin, “General bounds for nonstationary continuous-time Markov chains”, Inform. Primen., 8:1 (2014),  106–117  mathnet  elib 2
2013
20. V. Yu. Korolev, L. M. Zaks, A. I. Zeifman, “On convergence of random walks generated by compound Cox processes to Levy processes”, Inform. Primen., 7:2 (2013),  84–91  mathnet
2012
21. V. Yu. Korolev, V. E. Bening, L. M. Zaks, A. I. Zeifman, “Generalized Laplace distribution as a limit law for random sums and statistics constructed from samples with randomsizes”, Inform. Primen., 6:4 (2012),  34–39  mathnet 1
22. A. I. Zeifman, A. V. Korotysheva, Ya. A. Satin, S. Ya. Shorgin, “Bounds in null ergodic case for some queueing systems”, Inform. Primen., 6:4 (2012),  27–33  mathnet 1
23. Ya. A. Satin, A. I. Zeifman, A. V. Korotysheva, “Convergence rate and truncations for one class of Markov queueing systems”, Teor. Veroyatnost. i Primenen., 57:3 (2012),  611–621  mathnet  mathscinet  elib; Theory Probab. Appl., 57:3 (2013), 529–539  isi  elib  scopus 16
2011
24. Ya. A. Satin, A. I. Zeifman, A. V. Korotysheva, S. Ya. Shorgin, “On a class of Markovian queues”, Inform. Primen., 5:4 (2011),  18–24  mathnet 8
25. A. I. Zeifman, A. V. Korotysheva, T. L. Panfilova, S. Ya. Shorgin, “Stability bounds for some queueing systems with catastrophes”, Inform. Primen., 5:3 (2011),  27–33  mathnet 7
2010
26. A. I. Zeifman, A. V. Korotysheva, Ya. A. Satin, S. Ya. Shorgin, “On stability for nonstationary queueing systemswith catastrophes”, Inform. Primen., 4:3 (2010),  9–15  mathnet 4
2009
27. A. I. Zeifman, “On the nonstationary Erlang loss model”, Avtomat. i Telemekh., 2009, no. 12,  71–80  mathnet  mathscinet  zmath; Autom. Remote Control, 70:12 (2009), 2003–2012  isi  scopus 16
28. A. I. Zeifman, Ya. A. Satin, A. V. Korotysheva, N. A. Tereshina, “On the limiting characteristics for $M(t)/M(t)/S$ queue with catastrophes”, Inform. Primen., 3:3 (2009),  16–22  mathnet 3
29. A. I. Zeifman, Ya. A. Satin, A. V. Chegodaev, “On nonstationary queueing systems with catastrophes”, Inform. Primen., 3:1 (2009),  47–54  mathnet 5
30. E. van Doorn, A. I. Zeifman, T. L. Panfilova, “Bounds and Asymptotics for the Rate of Convergence of Birth-Death Processes”, Teor. Veroyatnost. i Primenen., 54:1 (2009),  18–38  mathnet  mathscinet  zmath; Theory Probab. Appl., 54:1 (2010), 97–113  isi  scopus 45
2008
31. A. I. Zeifman, A. V. Chegodaev, V. S. Shorgin, “Some bounds for closed to absorbing Markov models”, Inform. Primen., 2:2 (2008),  35–40  mathnet
2007
32. A. I. Zeifman, Ya. A. Satin, “Mean characteristics of Markov queueing systems”, Avtomat. i Telemekh., 2007, no. 9,  122–133  mathnet  mathscinet  zmath; Autom. Remote Control, 68:9 (2007), 1583–1593 1
2004
33. A. I. Zeifman, “On Sharp Estimates of the Rate of Convergence for Some Systems of Differential Equations”, Mat. Zametki, 75:2 (2004),  303–306  mathnet  mathscinet  zmath; Math. Notes, 75:2 (2004), 273–277  isi
34. B. L. Granovskii, A. I. Zeifman, “On the lower bound of the spectrum of some mean-field models”, Teor. Veroyatnost. i Primenen., 49:1 (2004),  164–171  mathnet  mathscinet  zmath; Theory Probab. Appl., 49:1 (2005), 148–155  isi 11
1991
35. A. I. Zeifman, “Stability of nonhomogeneous Markov chains with continuous time”, Izv. Vyssh. Uchebn. Zaved. Mat., 1991, no. 7,  33–39  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 35:7 (1991), 29–34 1
1989
36. A. I. Zeifman, “Some properties of a system with losses in the case of variable rates”, Avtomat. i Telemekh., 1989, no. 1,  107–113  mathnet  mathscinet  zmath; Autom. Remote Control, 50:1 (1989), 82–87 7
37. A. I. Zeifman, “Positivity of the Cauchy matrix of a linear periodic system”, Differ. Uravn., 25:9 (1989),  1618–1619  mathnet  mathscinet  zmath
38. A. I. Zeifman, “Quasi-ergodicity and stability of some nonhomogeneous Markov processes”, Sibirsk. Mat. Zh., 30:2 (1989),  85–89  mathnet  mathscinet  zmath; Siberian Math. J., 30:2 (1989), 236–239  isi
1988
39. A. I. Zeifman, “Truncation error in a birth and death system”, Zh. Vychisl. Mat. Mat. Fiz., 28:12 (1988),  1906–1907  mathnet  zmath; U.S.S.R. Comput. Math. Math. Phys., 28:6 (1988), 210–211 8
1985
40. A. I. Zeifman, “General birth and death processes and elementary stochastic models of epidemics”, Avtomat. i Telemekh., 1985, no. 6,  128–135  mathnet  mathscinet  zmath; Autom. Remote Control, 46 (1985), 789–795
1982
41. A. I. Zeifman, “Asymptotic behaviour of some stochastic models of species coexistence”, Avtomat. i Telemekh., 1982, no. 12,  120–123  mathnet  zmath; Autom. Remote Control, 43:12 (1982), 1600–1603

Presentations in Math-Net.Ru
1. Различные подходы для получения оценок устойчивости марковских цепей с непрерывным временем
A. I. Zeifman

September 19, 2023 18:00
2. Некоторые подходы к оцениванию скорости сходимости для марковских цепей с непрерывным временем
A. I. Zeifman

November 10, 2022 15:00   

Organisations