Abstract
The author reviews his publications doing justice to outstanding mathematicians who were his research supervisors and among which were B. V. Gnedenko, A. N. Kolmogorov, V. S. Mikhalevich, V. S. Korolyuk, and others.
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References
I. N. Kovalenko, “Determination of correlation functions of some processes connected with queuing problems,” Dop. AN URSR, No. 5, 480–481 (1958).
I. N. Kovalenko, “On a class of optimal decision functions for a binomial family of distributions,” Teor. Veroyatn. Primen., 4, No. 1, 101–105 (1959).
I. M. Kovalenko, “Bayesian decision functions for a hypergeometric set of distributions in choosing between two decisions,” Visn. Kyiv. Un-tu, Ser. Astronomiya, Matematika, ta Mekhanika, 2, No. 1, 159–162 (1959).
I. N. Kovalenko, “On the limit distribution of the value of the first jump,” Teor. Veroyatn. Primen., 5, No. 4, 469–472 (1960).
I. N. Kovalenko, “Investigation of a multilinear queuing system with a bounded sojourn time,” Ukr. Mat. Zh., 12, No. 4, 471–476 (1960). (“From the letters received by the Editorial Board,” UMZh, 13, No. 2, 239 (1961)).
I. N. Kovalenko, “On the reconstruction of the additive type of a distribution from a sequence of series of independent observations,” in: Proc. All-Union Symposium on Probability Theory and Mat. Statistics, Izd-vo AN ArmSSR, Yerevan (1960), pp. 148–159.
I. N. Kovalenko, “Some queuing problems with constraints,” Teor. Veroyatn. Primen., 6, No. 2, 222–228 (1961).
I. N. Kovalenko, “On the condition of independence of stationary distributions from the form of the distribution law of the service time,” Probl. Peredachi Inf., No. 11, Izd-vo AN SSSR, Moscow (1962), pp. 147–151.
I. N. Kovalenko, “Sur la condition pour que, en régime stationnaire, la distribution soit indépendante des lois des durées de conversation,” Ann. Telecommunications, 17, 190–191 (1962).
I. N. Kovalenko, “A method in queuing theory,” in: Proc. All-Union Seminar on Probability Theory and Mat. Statistics, Gos. Izd-vo Polit. i Nauchn. Liter. LitSSR, Vilnius (1962), pp. 357–358.
I. N. Kovalenko, “Guidelines for investigations in queuing theory,” in: Proc. All-Union Seminar on Probability Theory and Mat. Statistics, Gos. Izd-vo Polit. i Nauchn. Liter. LitSSR, Vilnius (1962), pp. 341–355.
B. V. Gnedenko and I. N. Kovalenko, Lectures on Queuing Theory [in Russian], Nos. 1–3, KVIRTU, Kiev (1963).
I. N. Kovalenko, “On the construction of Boolean functions of high complexity with the help of the Monte Carlo method,” Izv. Akad. Nauk SSSR, Tekhn. Kibern., No. 4, 77–80 (1964).
I. N. Kovalenko, “Some questions of the theory of reliability of complex systems,” in: Cybernetics in the Service of Communism, 2, Energiya, Moscow (1964), pp. 194–205.
I. N. Kovalenko, “Some analytical methods in queuing theory,” in: Cybernetics in the Service of Communism, 2, Energiya, Moscow (1964), pp. 325–338.
P. I. Vasil’ev and I. N. Kovalenko, “Remark on stationary arrival processes,” Ukr. Mat. Zh., 16, No. 3, 374–375 (1964).
I. N. Kovalenko, “On some classes of complex systems. I,” Izv. Akad. Nauk SSSR, Tekhn. Kibern., No. 6, 3–7 (1964).
I. N. Kovalenko, “On some classes of complex systems. II,” Izv. Akad. Nauk SSSR, Tekhn. Kibern., No. 1, 14–20 (1965).
I. N. Kovalenko, “On some classes of complex systems. III,” Izv. Akad. Nauk SSSR, Tekhn. Kibern., No. 3, 3–11 (1965).
I. N. Kovalenko, “Queuing Theory,” in: Itogi Nauki, Ser. Teor. Veroyatn., Mat. Stat. (1963), Inst. Nauchn. Inf. Akad. Nauk SSSR (1965), pp. 73–125.
I. N. Kovalenko, “On a limit theorem for determinants in the class of Boolean functions,” Dokl. Akad. Nauk SSSR, 161, No. 3, 517–519 (1965).
I. N. Kovalenko, “On recovering the characteristics of a system from observations of the outgoing flow,” Dokl. Akad. Nauk SSSR, 164, No. 5, 979–981 (1965).
I. N. Kovalenko, “On a class of limit distributions for sequences of series of sums of independent renewal processes,” Lit. Mat. Sb., 5, No. 4, 561–567 (1965).
I. N. Kovalenko, “On a class of limit distributions for thinning arrival processes,” Lit. Mat. Sb., 5, No. 4, 569–573 (1965).
I. N. Kovalenko, “A remark on the complexity of representing events in probabilistic and deterministic automata,” Cybernetics, No. 2, 35–36 (1965).
I. N. Kovalenko, “Evaluation of the reliability of complex systems,” Voprosy Radioelektroniki, 12, No. 9, 50–68 (1965).
B. V. Gnedenko and I. N. Kovalenko, Introduction to Queuing Theory [in Russian], Nauka, Moscow (1966).
I. N. Kovalenko, “Statistical characterization of symmetric stable distribution laws,” Dokl. Akad. Nauk SSSR, 170, No. 1, 31–33 (1966).
I. N. Kovalenko, “An asymptotic method for estimating the reliability of complex systems,” in: On Reliability of Complex Technical Systems, Sov. Radio, Moscow (1966), pp. 205–223.
I. N. Kovalenko, “Some new lines of investigations in queuing theory,” in: J. Riordan, Probabilistic Queuing Systems, Svyaz’, Moscow (1966), pp. 3–20.
B. V. Gnedenko, Yu. K. Belyaev, and I. N. Kovalenko, “Mathematical problems of queuing theory,” in: Itogi Nauki, Ser. Teor. Veroyatn., Mat. Stat., Teor. Kibern. (1964), VINITI Akad. Nauk SSSR, Moscow (1966), pp. 7–53.
I. N. Kovalenko, “On the limit distribution of the number of solutions of a random system of linear equations in the class of Boolean functions,” Teor. Veroyatn. Primen. 12, No. 1, 51–61 (1967).
I. N. Kovalenko, “Application of queuing theory to the analysis and synthesis of large-scale automatic control systems,” in: Modern Methods for the Design of Automatic Control Systems, Mashinostroenie, Moscow (1967), pp. 639–657.
B. V. Gnedenko and I. N. Kovalenko, “Some problems of queuing theory,” Izv. Akad. Nauk SSSR, Tekhn. Kibern., No. 5, 88–100 (1967).
B. V. Gnedenko and I. N. Kovalenko, Introduction to Queuing Theory, Isr. Program for Sci. Transl., Jerusalem (1968).
I. N. Kovalenko, “A problem of optimal information processing in a queuing system,” Izv. Akad. Nauk SSSR, Tekhn. Kibern., No. 5, 75–79 (1968).
N. P. Buslenko and I. N. Kovalenko, “Mathematical description of elements of complex systems,” Dokl. Akad. Nauk SSSR, 187, No. 10, 1222–1224 (1969).
I. N. Kovalenko, V. A. Ivnitskii, and N. I. Sukhanova, “Some practical methods for formation of multidimensional random numbers uniformly distributed within a polytope,” in: Proc. of the Seminar “Complex Systems and Simulation,” 1, Cybernetics Institute of NAS of Ukraine, Kiev (1969), pp. 3–14.
I. N. Kovalenko and O. M. Yurkevich, “New results in the theory of queuing systems with constraints,” Teor. Veroyatn. Mat. Stat., No. 2, 98–103 (1970).
I. N. Kovalenko, “Queuing theory,” in: Itogi Nauki, Ser. Teor. Veroyatn., Mat. Stat., Teor. Kibern. (1970), VINITI Akad. Nauk SSSR, Moscow (1971), pp. 5–109.
I. N. Kovalenko, “About a queuing system with the service rate dependent on the number of requests in the system and periodic channel disconnection,” Probl. Peredachi Inf., 7, No. 2, 106–111 (1971).
I. N. Kovalenko, “Calculating the probability of uniqueness of the solution of a system of random nonlinear Boolean equations,” Cybernetics, No. 3, 401–405 (1971).
I. N. Kovalenko, “Theory of random graphs,” Cybernetics, No. 4, 575–579 (1971).
I. N. Kovalenko and O. M. Yurkevich, “Some questions of optimal request servicing in systems with bounded waiting time,” Izv. Akad. Nauk SSSR, Tekhn. Kibern., No. 1, 26–35 (1971).
E. Yu. Barzilovich, V. A. Kashtanov, and I. N. Kovalenko, “On minimax criteria in reliability problems,” Izv. Akad. Nauk SSSR, Tekhn. Kibern., No. 3, 87–98 (1971).
B. V. Gnedenko and I. N. Kovalenko, “Application of queuing theory to problems of large-scale systems,” in: Sci. and Pract. Problems of Large-Scale Systems, Nauka, Moscow (1971), pp. 105–122.
I. N. Kovalenko, “On the distribution of the linear rank of a random matrix,” Teor. Veroyatn. Primen., 17, No. 2, 354–359 (1972).
I. N. Kovalenko, “The structure of a random oriented graph,” Teor. Veroyatn. Mat. Stat., No. 6, 83–91 (1972).
I. N. Kovalenko and V. D. Shpak, “Probabilistic characteristics of complex systems with hierarchical control,” Izv. Akad. Nauk SSSR, Tekhn. Kibern., No. 6, 30–34 (1972).
I. N. Kovalenko and O. M. Yurkevich, “A queuing system with simultaneously arriving impatient customers,” Izv. Akad. Nauk SSSR, Tekhn. Kibern., No. l, 52–56 (1972).
N. P. Buslenko, V. V. Kalashnikov, and I. N. Kovalenko, Lectures on the Theory of Complex Systems [in Russian], Sov. Radio, Moscow (1973).
I. N. Kovalenko and A. A. Filippova, Probability Theory and Mathematical Statistics: A Textbook [in Russian], Vyssh. Shkola, Moscow (1973).
I. N. Kovalenko, G. K. Moskatov, and E. Yu. Barzilovich, “Semi-Markov models in problems of the design of aircraft control systems,” Mashinostroenie, Moscow (1973).
I. N. Kovalenko, “Deviation of the reliability of a standby system with a general repair-time distribution from the reliability of a system with exponential repair-time,” Cybernetics, No. 5, 759–765 (1973).
I. M. Kovalenko, “Algorithm for asymptotic analysis of the sojourn time of a Markov chain in a set of states,” Dop. AN URSR, Ser. A, No. 6, 497–500 (1973).
I. N. Kovalenko, “On a problem of optimal control over a renewal process,” in: Controlled Random Processes and Systems, Cybernetics Institute of NAS of Ukraine, Kiev (1973), pp. 176–187.
B.W. Gnedenko and I. N. Kovalenko, Einfuhrung in die Bedienungstheorie, Akademie-Verlag, Berlin (1974).
I. N. Kovalenko, “Algorithmization of solution of problems of queuing theory and reliability theory,” in: Algorithmic Methods in Reliability Theory, Cybernetics Insitute of AS of Ukraine, Kiev (1974), pp. 3–13.
I. N. Kovalenko and E. M. Musaev, “Reliability of complex systems subjected to periodic perturbations,” Cybernetics, No. 3, 477–482 (1974).
I. N. Kovalenko and L. S. Stoikova, “On the productivity of a system and the problem-solving time in the presence of random failures and periodic memorization of the results,” Cybernetics, No. 5, 820–823 (1974).
I. N. Kovalenko, Investigations of Complex Systems Reliability [in Russian], Naukova Dumka, Kiev (1975).
I. N. Kovalenko, “ Invariance theorems for random Boolean matrices,” Cybernetics, No. 5, 818–834 (1975).
I. N. Kovalenko, “Some lines of investigations in queuing theory,” in: Mathematization of Knowledge and Scientific and Technological Advance, Naukova Dumka, Kiev (1975), pp. 66–78.
I. N. Kovalenko and A. A. Levitskaya, “Limit behavior of the number of solutions of a system of random linear equations over a finite field and a finite ring,” Dokl. Akad. Nauk SSSR, 221, No. 4, 778–781 (1975).
I. N. Kovalenko and A. A. Levitskaya, “Limit behavior of the number of solutions of a system of random linear equations over a finite field and a finite ring,” Teor. Veroyatn. Mat. Stat., No. 13, 70–83 (1975).
I. N. Kovalenko, “Analyticostatistical method for calculating the characteristics of highly reliable systems,” Cybernetics, No. 6, 895–907 (1976).
I. M. Kovalenko, “On the probability of consistency of one class of random logical equations,” Dop. NAN Ukrainy, Ser. A, No. 8, 681–685 (1976).
I. N. Kovalenko and F. S. Payanov, “Control optimization in variable-regime systems,” Cybernetics, No. 2, 299–302 (1976).
I. N. Kovalenko, “Exact estimates for characteristics of an enlarged process: A class of random processes invariant with respect to state enlargement,” in: B. V. Gnedenko, Yu. I. Gromak, and Ye. V. Chepurin (eds.), Queuing Theory, Proc. IIIth All-Union Seminar Meeting on Queuing Theory, Izd-vo Mosk. Un-ta, Moscow (1976), pp. 115–118.
I. N. Kovalenko, “Limit theorems for reliability theory,” Cybernetics, No. 6, 902–914 (1977).
I. N. Kovalenko and N. N. Leonenko, “Calculating the reliability of branching structures,” in: Methods of Operations Research and Reliability Theory in Analyzing Systems, Cybernetics Institute of AS of UkrSSR, Kiev (1977), pp. 3–8.
I. N. Kovalenko and O. V. Sarmanov, A Brief Course in the Theory of Random Processes [in Russian], Vyshcha Shkola, Kiev (1978).
I. N. Kovalenko, Analysis of Rare Events in Estimating the Efficiency and Reliability of Systems [in Russian], Sov. Radio, Moscow (1980).
I. N. Kovalenko, “Calculation of characteristics of highly reliable systems by the analytical-statistical method,” Elektronnoe Modelirovanie, 2, No. 4, 5–8 (1980).
I. N. Kovalenko, “Asymptotic state enlargement for random processes,” Cybernetics, No. 6, 876–885 (1980).
I. N. Kovalenko and N. Yu. Kuznetsov, “Constructing an embedded renewal process for essentially multidimensional queuing processes and its application to deriving limit theorems,” Prepr. No. 80–12, Cybernetics Institute of AS of Ukraine, Kiev (1980).
Yu. A. Mitropolskii, V. S. Korolyuk, V. S. Mikhalevich, and I. N. Kovalenko, “Works of A. V. Skorokhod on the theory of random processes,” Ukr. Mat. Zh., 32, No. 4, 523–527 (1980).
I. N. Kovalenko and N.Yu. Kuznetsov, “Renewal process and rare events limit theorems for essentially multidimensional queuing processes,” Math. Operationsforsch. und Statist., 12, No. 2, 211–224 (1981).
I. N. Kovalenko, “On the boundedness of the average sojourn time of a request in a queuing system with a bounded queue,” in: Proc. of the Seminar “Probl. of Stability of Stochastic Models,” VNIISI, Moscow (1981), pp. 66–70.
I. N. Kovalenko, “Remarks on the construction of an embedded renewal process for essentially multidimensional processes of queuing theory,” in: Proc. of the Seminar “Queuing theory,” VNIISI, Moscow (1981), pp. 95–101.
I. N. Kovalenko, Calculation of Probabilistic Characteristics of Systems [in Russian], Tekhnika, Kiev (1982).
I. N. Kovalenko and A. A. Filippova, Probability Theory and Mathematical Statistics: A Textbook [in Russian], 2nd Edition, Vyssh. Shkola, Moscow (1973).
G. I. Ivchenko, V. A. Kashtanov, and I. N. Kovalenko, Queuing Theory [in Russian], Vysh. Shkola, Moscow (1982).
I. N. Kovalenko, N. Yu. Kuznetsov, and V. M. Shurenkov, Random Processes: A Handbook [in Russian], Naukova Dumka, Kiev (1983).
E. Yu. Barzilovich, Yu. K. Belyaev, V. A. Kashtanov, I. N. Kovalenko, A. D. Solov’ev, and I. A. Ushakov, Topics of Mathematical Reliability Theory [in Russian], Radio i Svyaz’, Moscow (1983).
I. N. Kowalenko, “Bedienungssysteme mit Zeitbeschrankungen,” in: B.W. Gnedenko and D. König (eds.), Handbuch der Bedienungstheorie, Formeln und andere Ergebnisse, Akad. Verlag, Berlin (1984), pp. 256–273.
I. N. Kovalenko and N. Yu. Kuznetsov, “Asymptotic insensitivity of queuing systems,” in: P. Franken, D. König, U. Arndt, and V. Schmidt, Queues and Point Processes, Naukova Dumka, Kiev (1984), pp. 250–270.
I. N. Kovalenko, A. A. Levitskaya, and V. N. Savchuk, Selected Problems of Probabilistic Combinatorics [in Russian], Naukova Dumka, Kiev (1986).
I. N. Kovalenko, “Calculating corrections to characteristics of queuing systems,” in: Proc. of the Seminar “Problems of Stability of Stochastic Models,” VNIISI, Moscow (1986), pp. 45–48.
I. N. Kovalenko, “On A. D. Solov’ev’s problem from the reliability theory of restorable systems,” Cybernetics, No. 4, 111–112 (1986).
I. N. Kovalenko and N. Yu. Kuznetsov, “The principle of monotone refusals and its application to the calculation of reliability characteristics of structurally complex systems,” in: Stochastic Models of Systems, Military Academy of Air Defense of Ground Forces, Kiev (1986), pp. 25–45.
I. N. Kovalenko and L. S. Stoikova, “On some extremal problems of reliability theory,” Izv. Akad. Nauk SSSR, Tekhn. Kibern., No. 6, 19–23 (1986).
B. V. Gnedenko and I. N. Kovalenko, Introduction to Queuing Theory [in Russian], Nauka, Moscow (1987).
I. N. Kovalenko, V. G. Krivutsa, and N. Yu. Kuznetsov, “Test of the practical application of statistical modeling methods in reliability theory,” Cybernetics, No. 5, 707–715 (1987).
I. N. Kovalenko, N. Yu. Kuznetsov, and V. G. Krivutsa, “A method of statistical simulation (the Monte Carlo method),” in: Reliability and Efficiency in Engineering, 2, Mashinostroenie, Moscow (1987), pp. 208–250.
I. N. Kovalenko and N. Yu. Kuznetsov, Methods of Calculation of Highly Reliable Systems [in Russian], Radio i Svayz’, Moscow (1988).
I. N. Kovalenko, “On an algorithm of subexponential complexity for decoding strongly corrupted linear codes,” Dokl. AN UkrSSR, Ser. A, No. 10, 16–17 (1988).
I. M. Kovalenko and V. P. Gorbulin, “Methodological problems of reliability and safety of modern technical systems,” Visn. Akad. Nauk URSR, No. 11, 19–24 (1988).
I. N. Kovalenko, N. Yu. Kuznetsov, and A. N. Nakonechnyi, “Optimization of reliability characteristics of systems on the basis of quantitative estimates of continuity and fast simulation methods,” in: Proc. of the Seminar “Problems of Stability of Stochastic Models,” VNIISI, Moscow (1988), pp. 79–84.
I. N. Kovalenko, Probabilistic Calculation and Optimization [in Russian], Naukova Dumka, Kiev (1989).
Gnedenko B.V. and I. N. Kovalenko, Introduction to Queuing Theory, Birkhauser, Boston (1989).
I. N. Kowalenko, N. J. Kuzniecow, and W. M. Szurienkow, Procesy stochastyczne: Poradnik, Panstw. Wydaw. Nauk., Warszawa (1989).
I. N. Kovalenko and A. N. Nakonechnyi, Approximate Calculation and Optimization of Reliability [in Russian], Naukova Dumka, Kiev (1989).
I. N. Kovalenko and N. Yu. Kuznetsov, “Methods for fast simulation of characteristics of highly reliable systems,” in: Statistics and Control of Random Processes, Nauka, Moscow (1989), pp. 77–86.
I. N. Kovalenko and B. V. Gnedenko, Probability Theory [in Russian], Vyshcha Shkola, Kiev (1990).
I. N. Kovalenko and A. N. Nakonechny, “On an approach to the tabulation of distribution functions of additive functionals of a Wiener process,” Dop. NAN Ukrainy, Ser. A, No. 6, 28–31 (1992).
I. N. Kovalenko and A. A. Levitskaya, “Probabilistic properties of systems of random linear equations over finite algebraic structures,” Cybernetics and Systems Analysis, No. 3, 385–390 (1993).
I. N. Kovalenko and A. A. Levitskaya, “Stochastic properties of systems of random linear equations over finite algebraic structures,” in: V. F Kolchin, V. Ya. Kozlov, Yu. L. Pavlov, and Yu. K. Prokhorov (eds.), Probabilistic Methods of Discrete Mathematics, TVP, Moscow (1993), pp. 64–70.
I. N. Kovalenko and A. N. Nakonechnyi, “Approximation of distribution functions of additive functional of Wiener process by a segment of Chebyshev series,” Cybernetics and Systems Analysis, No. 4, 613–617 (1993).
A. Birolini, A. I. Kochubinsky, and I. N. Kovalenko, “Some bounds and numerical results on renewal and alternating renewal processes,” Dop. NAN Ukrainy, Ser. A, No. 10, 25–31 (1993).
I. N. Kovalenko and A. A. Levitskaya, “Invariance theory for nonlinear systems of equations over the field GF(2),” in: Proc. Symp. “Problems of Optimization of Computations,” Kyiv (1993), pp. 78–90.
I. N. Kovalenko, “Rare events in queuing systems: A survey,” Queuing Systems, 16, No. 1, 1–49 (1994).
I. N. Kovalenko, “A nonregenerative model of a redundant repairable system: Bounds for the unavailability and asymptotic insensitivity to lifetime distribution,” J. Appl. Math. Stochast. Anal., 9, No. 1, 1–49 (1994).
I. N. Kovalenko and J. B. Atkinson, “On the calculation of steady-state loss probabilities in the GI/G/2/0 queue,” J. Appl. Math. Stochast. Anal., 9, No. 3, 397–410 (1994).
I. N. Kovalenko, “Approximation of queues via small parameter method,” Advances in Queuing,” in: J. H. Dshalalow (ed.), CRC Press, Boca Raton (1995), pp. 481–506.
C. Cooper and I. M. Kovalenko, “Upper bound for the number of complete mappings,” Teor. Imovirn. Mat. Stat., No. 53, 69–75 (1995).
I. N. Kovalenko, N. Yu. Kuznetsov, and V. M. Shurenkov, Models of Random Processes: A Handbook for Mathematicians and Engineers, CRC Press, New York (1996).
I. N. Kovalenko, “A non-regenerative model of a redundant repairable system: Bounds for the unavailability and asymptotical insensitivity to the lifetime distribution,” J. Appl. Math. Stochast. Anal., 9, No. 2, 97–105 (1996).
I. N. Kovalenko, “Upper bound on the number of complete maps,” Cybernetics and Systems Analysis, No. 1, 65–68 (1996).
I. N. Kovalenko, “Reliability analysis via corrections,” Reliability and Maintenance of Complex Systems, Proc. of the NATO ASI on Current Issues and Challenges in the Reliability and Maintenance of Complex Systems, NATO ASI Ser., Ser. F, Comput. Syst. Sci., 154, Springer, Berlin (1996), pp. 97–106.
I. N. Kovalenko, “On bounds for the pointwise availability of a repairable component,” Fundam. Prikl. Mat., 2, No. 4, 1101–1105 (1996).
I. N. Kovalenko, A. N. Nakonechnyi, and A. B. Romanov, “Chebyshev approximation of the distribution function of nonnegative random quantities,” Cybernetics and Systems Analysis, No. 2, 211–218 (1996).
I. N. Kovalenko, “In memoriam: Boris Vladimirovich Gnedenko (January 1, 1912–December 27, 1995),” J. Appl. Math. Stochast. Anal., 9, No. 1, 95–96 (1996).
I. N. Kovalenko and V. N. Savchuk, “Some statistical algorithms for decoding heavily corrupted linear codes,” in: Proc. Intern. Sci.-Pract. Conf. “Information Security in Computer Systems and Communication,” Kyiv (1996), p. 39.
I. N. Kovalenko, N. Yu. Kuznetsov, and Ph. A. Pegg, Mathematical Theory of Reliability of Time Dependent Systems with Practical Applications, Wiley, Chichester (1997).
I. N. Kovalenko, “Ergodic and light-traffic properties of a complex repairable system,” Math. Methods Oper. Res., 45, No. 3, 387–409 (1997).
I. N. Kovalenko, “Proof of David Kendall’s conjecture concerning the shape of large random polygons,” Cybernetics and Systems Analysis, No. 4, 461–467 (1997).
I. N. Kovalenko, “A survey of works of B. V. Gnedenko in mathematical statistics and queuing and reliability theories,” Teor. Imovirn. Mat. Statist., No. 56, 10–19 (1997).
I. N. Kovalenko, “On certain random polygons of large areas,” J. Appl. Math. Stochast. Anal., 11, No. 3, 369–376 (1998).
I. M. Kovalenko, “On Burtin’s lemma from the theory of random mappings and on the probability of non-coincidence of keys,” U Sviti Mat. 4, No.3, 13–16 (1998).
I. N. Kovalenko, A. Birolini, N.Yu. Kuznetsov, and M. Schoenbucher, “Reducing the phase space of a stochastic process in system reliability analysis,” Cybernetics and Systems Analysis, No. 4, 588–595 (1998).
I. N. Kovalenko, “An extension of a conjecture of D. G. Kendall concerning shapes of large random polygons to Poisson Voronoi cells,” in: P. Engel and H. Syta (eds.), Vorono¿’s Impact of Modern Science, Book I, Inst. of Mathematics, Kyiv (1998), pp. 266–274.
I. N. Kovalenko, “A simplified proof of a conjecture of D. G. Kendall concerning shapes of random polygons,” J. Appl. Math. Stochast. Anal. 12, No. 4, 301–310 (1999).
I. N. Kovalenko and N. Yu. Kuznetsov, “Analysis of the deviation of the nonstationary availability factor of a restorable system from its stationary value,” Cybernetics and Systems Analysis, No. 2, 240–252 (1999).
I. N. Kovalenko and M. N. Savchuk, “Some methods of decoding corrupted linear codes,” Reyestr., Zberig., i Obrobka Danykh, 1, No. 2, 62–68 (1999).
I. N. Kovalenko and M. N. Savchuk, “On a statistical algorithm to decode heavily corrupted linear codes,” Applied Probability and Stochastic Processes, Kluwer, Berkeley (1999), pp. 73–82.
J. B. Atkinson, I. N. Kovalenko, “On the practical insensitivity of the availability of some redundant repairable systems to the lifetime distribution in light traffic,” Probabilistic Analysis of Rare Events: Theory and Problems of Safety, Insurance and Ruin, Riga Aviation Univ., Riga (1999), pp. 83–91.
C. Cooper, R. Gilchrist, I. N. Kovalenko, and D. Novakovic, “Estimation of the number of “good” permutations with applications to cryptography,” Cybernetics and Systems Analysis, No. 5, 10–16 (1999).
I. N. Kovalenko, “Some limit theorems concerning random polygons of large areas,” in: Proc. 3rd Ukr.-Scand. Conf. in Probability Theory and Mathematical Statistics, Kyiv (1999), p. 70.
I. N. Kovalenko and M. N. Savchuk, “About some methods of decoding corrupted linear codes,” in: Proc. 3rd Ukr.-Scand. Conf. in Probability Theory and Mathematical Statistics, Kyiv (1999), p. 71.
I. N. Kovalenko, “Estimation of the intensity of the flow of non-monotone refusals in the queuing system (≤λ)/G/m, Ukr. Mat. Zh., 52, No. 9, 1219–1225 (2000).
R. Gilchrist and I. N. Kovalenko, “On estimation of the probability of absence of collisions of some random mappings,” Cybernetics and Systems Analysis, No. 1, 102–107 (2000).
E. V. Koba and I. N. Kovalenko, “On a two-sided bound for the distribution of orbit cycles of a customer in a retrial queuing system,” Dop. NAN Ukrainy, No. 9, 109–112 (2000).
I. N. Kovalenko, “Light traffic analysis of complex system reliability: Non-regenerative model,” DeuxiÙme Conf. Intern. sur les Méthodes Mathématiques en Fiabilité. Méthodologie, 2, Pratique et Inférence, Bordeaux (2000), 634–637.
J. B. Atkinson and I. N. Kovalenko, “A numerical investigation of the insensitivity of the unavailability of some redundant, repairable systems to the form of the lifetime distribution,” Deuxiéme Conf. Intern. sur les Méthodes Mathématiques en Fiabilité. Méthodologie, 1, Pratique et Inférence, Bordeaux (2000), pp.119–122.
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I. N. Kovalenko, “The loss probability in an M/G/m queuing system with T-retrials in light traffic,” Dop. NAN Ukrainy, Ser. A, No. 5, 77–80 (2002).
I. N. Kovalenko and J. B. Atkinson, “Conditions for the light traffic insensitivity of the loss probability in a GI/G/m/0 queuing system,” Cybernetics and Systems Analysis, No. 6, 846–854 (2002).
I. N. Kovalenko and E. V. Koba, “Three types of a retrial queuing system resembling some peculiarities of planes landing process,” Probl. Upravlen. Inf., No. 2, 78–82 (2002).
I. N. Kovalenko, “The loss probability in an M/G/M retrial queuing system with T-returns of calls in light traffic,” Intern. Gnedenko Conf., Kyiv (2002), p. 52.
D. Baum and I. N. Kovalenko, “On graph models for communicating mobiles in access areas,” Intern. Gnedenko Conf., Kyiv (2002), p. 38.
D. Baum and I. N. Kovalenko, “Graph models for communication of mobile users in access areas,” Cybernetics and Systems Analysis, No. 5, 716–727 (2003).
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I. N. Kovalenko, “A review of my scientific publications. Masters and coworkers,” Cybernetics and Systems Analysis, No. 3, 339–362 (2010).
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Translated from Kibernetika i Sistemnyi Analiz, No. 3, pp. 3–27, May–June 2010.
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Kovalenko, I.N. A review of my scientific publications. Masters and coworkers. Cybern Syst Anal 46, 339–362 (2010). https://doi.org/10.1007/s10559-010-9211-4
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DOI: https://doi.org/10.1007/s10559-010-9211-4