Tsitsiashvili Gurami
Doctor of Sci.
Publications:
(Remark: The list contains
more than 180 articles and three monographs. Below the monographs and
the most important articles are listed).
Monographs:
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Decomposition Methods in
Stability and Effeciency Analysis of Complex Systems. Far Eastern
Branch of the USSR, Vladivostok, 1989 (in Russian).
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Cooperative and
Decomposition Effects in Multi Element Stochastic Systems. Far
Eastern Branch of RAS, Vladivostok, 2003 (in Russian). (with
Bespalov V.M., Osipova M.A.).
-
Cooperative Effects in
Stochastic Models. Nova Science Publishers, N.Y., 2005, (with
Osipova M.A.).
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Cooperative Effects in
Stochastic Models. Science, Moscow, 2005, (with Osipova M.A.).
Papers:
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On the stability of
queueing systems with respect to disturbances of their distribution
functions (with V.V.Kalashnikov). Engineering Cybernetics. 1972,
v.10, 211-217, 1973.
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Piecewice-linear Markov
chains and their stability investigation. Theory Prob. Appl., vol.
20, 74-84, 1975.
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Stability of multi-channel
queueing systems with respect to disturbances of their distribution
functions. Engineering Cybernetics. 1972, v.2, 49-54, 1973.
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Stability of multi-phase
queueing system with respect to their distribution functions.
Engineering Cybernetics. 1972, v.3, 97-105, 1973.
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Construction of Lyapunov
functions for stability investigation of piecewice-linear Markov
chains. Engineering Cybernetics. 1979, v.2, 74-84, 1980.
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Stability analysis of
queueing systems (with V.V. Kalashnikov). J. Sov. Math., v.17,
2238-2254, Dec. 1981.
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On stability regions of
queueing systems. Stability Problems for Stoch. Models, Institute of
Systems Analysis, Moscow, 107-115, 1980. (In Russian).
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On Stability regions of
queueing systems. Theory Prob. Appl., vol. 25, 419-420, 1980.
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Using of invariant
characteristics of flows for solution of inverse problem of queueing
theory. Stability Problems for Stoch. Models, Institute of Systems
Analysis, Moscow, 140-145, 1981. (In Russian).
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Using of invariant
characteristics of flows for solution of inverse problem of queueing
theory. Theory Prob. Appl., vol. 26, 658-660, 1981.
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Stochastic metrics and
orders invariant relatively transformations defined by signs of
deravatives. Stability Problems for Stoch. Models, Institute of
Systems Analysis, Moscow, 104-106, 1982. (In Russian).
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Some problem of mixed flow
statistics. Stability Problems for Stoch. Models, Institute of
Systems Analysis, Moscow, 107-109, 1982. (In Russian).
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Unstability in queueing
system G j G j 1 j 1. Stability Problems for Stoch. Models,
Institute of Systems Analysis, Moscow, 179-184, 1984 . (In Russian).
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On stability of queueing
networks. Stability Problems for Stoch. Models, Institute of Systems
Analysis, Moscow, 145-152, 1985 . (In Russian).
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Quantitative estimate of
joint effect in simplest queueing systems. Stability Problems for
Stoch. Models, Institute of Systems Analysis, Moscow, 140-142, 1988
. (In Russian).
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Investigation of
regenerative moments in cycle queueing systems. Stability Problems
for Stoch. Models, Institute of Systems Analysis, Moscow, 139-142,
1989. (In Russian).
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Commutative property of
reduntant system with restoration. Theory Prob. Appl., vol. 37, 817,
1992.
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On estimate of stability
of multi-phase queueing system. Theory Prob. Appl., vol. 37, 817,
1992.
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Commutative effects in
Kalman‘s filtration. Theory Prob. Appl., vol. 36, 812-813, 1991.
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Layering method in the
problem of biorhythmology. Bull. of the Far Eastern Branch of
Russian Acad. of Sci., N 3, 66-68, 1995. (with V.A.Sviatukha). (In
Russian).
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Some problems of dust
distribution. Bull. of the Far Eastern Branch of Russian Acad. of
Sci., N 4, 28-31, 1995. (In Russian).
-
Dependence of cycle system
on load. Bull. of the Far Eastern Branch of Russian Acad. of Sci., N
4, 32-34, 1995. (with V.A.Sviatukha). (In Russian).
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Ergodic theorem for a flow
of particles. Far Eastern Mathematical Collection. Vladivostok, vol
1, 119-125, 1995. (In Russian).
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Solution of the problem of
mutual debts discharge. Far Eastern Mathematical Collection.
Vladivostok, vol 1, 126-131, 1995. (In Russian).
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Decomposition effects in
the method of cosinor-analysis. Far Eastern Mathematical Collection.
Vladivostok, vol 2, 173-176, 1996. (with V.A.Sviatukha). (In
Russian).
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Construction and
investigation of stochastic model of sliding regime. Far Eastern
Mathematical Collection. Vladivostok, vol 2, 187-192, 1996. (In
Russian).
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Decomposition effects in
problems of applied and industrial mathematics. Jubilee Collection
of Papers devoted to L.V.Kantorovich. Mathematical Institute of
Siberian Branch of Russian Academy of Sciences. Novosibirsk, vol. 2,
1-6, 1995.
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Transformation of an
Epidemic Model to a Random Walk and Its Management. Math. Scientist,
20, 103-106 (1995).
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Quantitative Evaluation of
Decomposition Effects in Complex Systems. Advances in Modelling and
Analysis, C, AMSE Press, Vol. 47, N 1, 27-30 (1995).
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A Simple Model of
Convective Heat Transfer in the Combustion Chamber of Diesel Engine.
J. of Polish CIMAC, Vol. 2, N 1, Warsaw, 177-180 (1996) (with
Bespalov V.M., Izrailsky Yu.G., Rudnev B.I.).
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Statistical Evaluation of
the Authenticity of Intradian Cyclicity with 4-6 Hours Periods.
Biophysics, Moscow, Vol. 40, N 4, 817-821 (1995) (with Glybin L.Ya.,
Sviatukha V.A.).
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Probabilistic Features of
Solutions of Some Problems in Medicine and Biology. Trans. of Appl.
and Ind. Math., Moscow, Vol. 3, N 3, 450-460 (1996). (in Russian).
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Reduction of the Problem
of Mutual Debts Discharge to the Transportation Problem. Lectures of
RAS, V. 352, N 6, p. 730 (1997). (with Anikonov D.S.).
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Two Sided Bounds of Random
Sums with Subexponential Summands. Problems of Information
Transmission V. 35, 67-79, (1999), (with Kalashnikov V.V.). (in
Russian).
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Asymptoticaly Precise Two
Sided Bounds of Ruin Probability for Large Claims. Trans. of Appl.
and Ind. Math., Moscow, V. 5, N 1, 66-82, (1998), (with Kalashnikov
V.V.). (in Russian).
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Tails of Waiting sums and
Their Bounds. Queuing Systems, V. 32, 257-283, (1999), (with
Kalashnikov V.V.).
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Collective Insurance of
Large Risks. Lectures of RAS, V. 368, N 6, 749-750, (1999).
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Transition Phenomena in
Mathematical Theory of Epidemics. Lectures of RAS, V. 372, N 3,
315-316, (2000).
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Tight Approximation of
Basic Characteristics and Non-Classical Surplus Processes. ARCH, V.
9, N. 2, 251-293, (2000), (with Kalashnikov V.V.).
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On Product Connection
Theorems for Markov Chains. International Journal on Pure and
Applied Mathematics, V. 1, N 2, 167 - 197, (2002), (with Baum D.).
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A Product Theorem for
Markov Chains with Application to PF-Queueing Networks. Annals of
Operations Research, V. 113, 141-154, (2002), (with Osipova M.A.,
Koliev N.V., Baum D.).
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A local limit theorem for
random walk maxima with heavy-tails. Statistics and Probability
Letters, V. 56, 399-404, (2002), (with Asmussen S., Kalashnikov V.,
Kluppelberg C., Konstantinides D.).
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Estimates for Ruin
Probability in the Classical Risk Model with Constant Interest Force
in the Presence of Heavy Tails. IME, N 3, 447-460, (2002), (with
Konstantinides D.G., Tang Q.H.).
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Precise Estimates for the
Ruin Probability in Finite Horizon in a Discrete-time Model with
Heavy-Tailed Insurance and Financial Risks. Stochastic Processes and
Their Applications, V. 108, 299-325, (2003), (with Tang Q.).
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Randomly Weighted Sums of
Subexponential Random Variables with Application to Ruin Theory.
Extremes, V. 6, 171-188, (2003), (with Tang Q.).
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Finite and Infinite Time
Ruin Probabilities in the Presence of Stochastic Returns on
Investments. Advances in Applied Probability, V. 36, N 4, 1278-1299,
(2004), (with Tang Q.).
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Quality Properties of Risk
Models Under Stochastic Interest Force. Journal of Mathematical
Sciences, V. 123, N 1, 3834-3838, (2004).
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Cooperative Effects in
Multi-Server Queueing Systems. Mathematical Scientist, V. 30, N
1,17-24, (2005).
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Intra-year cores of
climatic parameters trajectories and prognostication of extreme
events. Pacific oceanography, V. 2, 144-148, (2003), (with Sviatukha
V.A., Shatilina T.A., Goryaainov A.A.).
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Anomalous Diffusion on
Finite Interval. Transactions of XXIV International Seminar on
Stability problems for Stochastic Models, Jurmala, Latvia, 57-63,
(2004).
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Construction of Queueing
Networks with Stationary Product Distributions. Proceedings of Fifth
International Workshop on Retrial Queues. Korea University, Seoul,
111-115, (2004), (with Osipova M.A.).
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Some Aspects and
Perspectives of Factor Prognosis for the Epidemic Manifistation of
the Tick-Borne Encephalitis Based on the Multidimensional Analysis
of Temporal Rows. Parazitology, V. 36, N 2, 89-95, (2002), (with
Bolotin E.I., Golycheva I.V.), (in Russian).
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Possibilities of Factor
Prognosis of the Tick-Borne Encephalitis Infection in the Mariime
Territory. Parazitology, V. 36, N 4, 280-285, (2002), (with Bolotin
E.I., Golycheva I.V., Burukhina I.G.), (in Russian).
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Tail asymptotics of the n-th
convolution of super-exponential distributions. Statistics
Probability Letters. V. 76, 861-870, (2006) (with Nagaev A.V.).
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Cooperative Effects in
Renewal Systems with Common Reserve and Competition of Repair
Places. Communication of Dependability and Quality Management. V. 8,
N 3, 71-75 (2005) (with Markova N.V.).
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New Product Theorems for
Queueing Networks. Problems of Information Transmission. V. 41, N 2,
171-181 (2005) (with M.A. Osipova).
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Probability Distribution
in Queueing Networks with Varyable Structure. Problemy Peredachi
Informatsii. V. 42, N 2, 101-108 (2006) (with M.A. Osipova). (In
Russian).
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Product Theorem in a
Jackson Network with Switching Centers. Journal of Mathematical
Sciences, V. 132, N 5, 686-687, (2006).
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Limit Theormes and
Stochatic Entropy Properties of Marshall-Olkin Distributions.
Transactions of XXV International Seminar on Stability problems for
Stochastic Models, Maiori (Salerno), Italy, 281-286, (2006) (with P.
Rocchi).
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Optimization of Ability to
Handle Customers of Opened Queueing Network. Transactions of XXV
International Seminar on Stability problems for Stochastic Models,
Maiori (Salerno), Italy, 276-280, (2006).
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