Abstract
Aleksander Dmitrievich Soloviev was an outstanding Russian mathematician. He had developed an efficient methods in the mathematical reliability theory and in the theory of queues. This paper contains a short account of his life and work.
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Evgrafov, M.A., Soloviev, A.D.: On a general criterion for a basis. Dokl. Akad. Nauk SSSR 113(3), 493–496 (1957). (in Russian)
Soloviev, A.D.: Determination of the class of convergence of interpolation series for certain problems. Dokl. Akad. Nauk SSSR 113(5), 991–994 (1957). (in Russian)
Evgrafov, M.A., Soloviev, A.D.: On a class of reversible operators in a ring of analytic functions. Dokl. Akad. Nauk SSSR 114(6), 1153–1154 (1957). (in Russian)
Soloviev, A.D.: On the necessary redundancy for multiple-acting systems. Izvestiya AN SSSR Ser. Energ. Autom. 2, 124–129 (1962)
Soloviev, A.D.: Time distribution of total operating time. Voprosy Radioelectroniki XII(7), 3–8 (1964). (in Russian)
Soloviev, A.D.: Some non-standard problems from the redundancy theory. Voprosy Radioelectroniki XII(7), 29–39 (1964). (in Russian)
Soloviev, A.D.: Methods of computation the efficiency of branching systems. Voprosy Radioelectroniki XII(31), 106–114 (1964)
Soloviev, A.D.: On the redundant systems without recovery. In: Kibernetiku na slujbu kommunizmu, vol. 2, pp. 83–121. Energija, Moscow-Leningrad (1964). (in Russian)
Soloviev, A.D.: Reliability of systems with recovery. In: Kibernetiku na slujbu kommunizmu, vol. 2, pp. 189–193. Energija, Moscow-Leningrad (1964). (in Russian)
Mirnyi, R.A., Soloviev, A.D.: System reliability estimation based on the results of its components testing. In: Kibernetiku na slujbu kommunizmu, vol. 2, pp. 213–218. Energija, Moscow-Leningrad (1964). (in Russian)
Soloviev, A.D.: Asymptotic distribution of the life time of a doubled element. Izv. Akad. Nauk SSSR. Tehn. Kibernet. 5, 119–121 (1964). (in Russian)
Belyaev, Y.K., Gnedenko, B.V., Soloviev, A.D.: Mathematical Methods in Reliability Theory, Moscow, Nauka (1965) (in Russian). Translations: Mathematische Methoden der Zuverlässigkeitstheorie, Berlin, Academie-Verlag, B.I, 1-222. B.II, 1-262 (1968) (in German). Metody matematiczne w teorii nezavodnosci, Warszawa (1968) (in Polish). Metode matematice in teoria sigurantei, Bucuresti (1968) (in Romanian). Mathematical Methods of Reliability Theory, New York, Academic Press xi+506 pp. (1969) (in English). A megbizhatosagelmelet matematikai modszerei, Budapest (1970) (in Hungarian). Mathematical Methods of Reliability Theory, vols. 1, 2 (1971) (in Japanese). Méthodes Mathéatiques dans la Théorie de la Fiabilité, Moscow, Mir (1972) (in French)
Soloviev, A.D.: A bursting problem. Voprosy ekspluatacii radiotehnicheckih sredstv voenno-vozdushnyh sil, vol. 1116, pp. 79–100. N. E. Zukovskii Military Air Engineer Academy, Moscow (1965). (in Russian)
Soloviev, A.D.: Educational and methodical manual on the theme “Series” of the mathematical analysis course (for part-time second-year students of the mechanical and mathematical faculties of state universities), 2nd edn. Moscow University Publications, Moscow (1965). (in Russian)
Soloviev, A.D.: Estimate of the reliability of the redundant system with recovery at the initial period of time. Voprosy Radioelektroniki Ser XII 13, 16–23 (1966). (in Russian)
Soloviev, A.D., Ushakov, I.A.: On the estimate of the mean life time of the system consisting of aging elements. Voprosy Radioelektroniki Ser XII 13, 56–64 (1966). (in Russian)
Soloviev, A.D.: A combinatorial identity and its application to the problem concerning the first occurrence of a rare event. Theory Probab. Appl. 11(2), 276–282 (1966). [Translated from Teoriya Veroyatn. i ee Primen. XI(2), 313–320 (1966). (in Russian)]
Soloviev, A.D.: A construction of the optimal preventions for a redundant system. In: Applied Problems of Technical Cybernetics, pp. 182–190. Sovetskoe Radio, Moscow (1966). (in Russian)
Soloviev, A.D.: A problem on the cycling service. In: Applied Problems of Technical Cybernetics, pp. 230–234. Sovetskoe Radio, Moscow (1966). (in Russian)
An asymptotic method in the queueing theory. In: Abstracts of short communications of International Congress of Mathematicians, Moscow, sect. 11:52 (1966)
Soloviev, A.D., Ushakov, I.A.: Certain estimates for systems of “aging” elements. Avtomat. i Vycisl. Tehn. 6, 38–44 (1967). (in Russian)
Belyaev, Y.K., Gnedenko, B.V., Soloviev, A.D.: On some stochastic problems of reliability theory. In: Proceedings of the Berkeley Symposium on Mathematical Statistics and Probability, vol. 3, pp. 259–270. University of California Press (1967)
Soloviev, A.D.: Theory of aging elements. In: Proceedings of the Berkeley Symposium on Mathematical Statistics and Probability, vol. 3, pp. 313–324. University of California Press (1967)
Soloviev, A.D.: Addendum: a method for obtaining estimates of the expectation of a function of the components of an \(n\)-dimensional vector (on the paper by Korzik V. I.). Theory Probab. Appl. 11(3) (1966). [translated from Teoriya Veroyatn. i ee Primen. 12(3), 529 (1967). (in Russian)]
Soloviev, A.D.: Heuristic Derivation of Reliability Characteristics of Redundant Systems with fast Recovering. (Lectures Read in the Polytechnic Museum at the Seminar on the Reliability and Quality Control Methods). Znanie, Moscow (1968). (in Russian)
Soloviev, A.D.: On some necessary elements in the mathematical education of engineers. Sbornik nauchnyh statei, Riga, Alksnis RVVIAU 4, 17–22 (1969). (in Russian)
Soloviev, A.D.: Application of the Markov processes to the reliability estimates of large systems. Sbornik nauchnyh statei, Riga, Alksnis RVVIAU 4, 17–22 (1969). (in Russian)
Soloviev, A.D.: Methods of non-Markovian processes analysis. Sbornik nauchnyh statei, Riga, Alksnis RVVIAU 4, 17–22 (1969). (in Russian)
Soloviev, A.D.: Standby with rapid renewal. Eng. Cybern. 1, 49–64 (1970). [Translated from Izv. Akad. Nauk SSSR. Tehn. Kibernet. 1, 56–71 (1970). (in Russian)]
Soloviev, A.D.: The problem of optimal servicing. Eng. Cybern. 8(5), 859–868 (1970). [Translated from Izv. Akad. Nauk SSSR. Tehn. Kibernet. 5, pp. 40–49 (1970). (in Russian)]
Soloviev, A.D.: Asymptotic behavior of the time of first occurrence of a rare event in a regenerating process. Eng. Cybern. 9(6), 1038–1048 (1972). [Translated from Russian Izv. Akad. Nauk SSSR. Tehn. Kibernet. 6, pp. 79–89 (1971). (in Russian)]
Soloviev, A.D.: Asymptotic distribution of the moment of first crossing of a high level by a birth and death process. In: Proceedings of the Berkeley Symposium on Mathematical Statistics and Probability, vol. 3, pp. 71–86. University of California Press (1972)
Beljaev, Y.K., Kolmogorov, A.N., Soloviev, A.D.: Boris Vladimirovich Gnedenko (on the occasion of his sixtieth birthday). Uspehi Mat. Nauk 27(2)(164), 197–202 (1972). (in Russian)
Soloviev, A.D.: A limit theorem for the renewal process. Sbornik trudov II Vsesojuzn. sovesch. po teorii massovogo obslujivaniya, Dilijan, 1970, pp. 122–130. Moscow University Publications (1972). (in Russian)
Gnedenko, B.V., Soloviev, A.D.: On the conditions of existence of final probabilities for a Markov process. Math. Operationsforsch. u. Stat. 4(5), 379–390 (1973). (in Russian)
Soloviev, A.D.: The theory of aging objects and its application in boundary theorems. Zagadnienia eksploatacii maszyn 2(14) (1973). (in Polish)
Soloviev, A.D.: Methods of optimal machine maintenance. Zagadnienia eksploatacii maszyn 2(14) (1973). (in Polish)
Gnedenko, D.B., Soloviev, A.D.: A general model for standby with renewal. Eng. Cybern. 12(6), 82–86 (1974). [Translated from Izv. Akad. Nauk SSSR. Tehn. Kibernet. 6, 113–118 (1974). (in Russian)]
Zaitsev, V.A., Soloviev, A.D.: Standby with incomplete renewal. Eng. Cybern. 13(1), 58–62 (1975). [Translated from Izv. Akad. Nauk SSSR. Tehn. Kibernet. 1, 72–76 (1975). (in Russian)]
Gnedenko, D.B., Soloviev, A.D.: Estimation of the reliability of complex renewable systems. Eng. Cybern. 13(3), 89–96 (1975). [Translated from Izv. Akad. Nauk SSSR. Tehn. Kibernet. 3, 121–128 (1975). (in Russian)]
Zaitsev, V.A., Soloviev, A.D.: Redundancy of complex systems. Eng. Cybern. 13(4), 66–75 (1975). [Translated from Izv. Akad. Nauk SSSR. Tehn. Kibernet. 4, 83–92 (1975). (in Russian)]
Soloviev, A.D.: Fundamentals of mathematical reliability theory. Issues 1, 2, 3. Znanie, Moscow (1975). (in Russian)
Ovchinnikov, V.N., Soloviev, A.D.: Asymptotical analysis of post failure reliability characteristics. Ttudy III Vsesojuzn. shkoly-sovesch. po teorii massovogo obslujivaniya, t.1, pp. 211–219. Moscow University Publications (1976). (in Russian)
Gruszczynski, J., Solowiew, A.D.: Methods for the optimization of queueing in an industrial park. Mat. Stos. 7(3), 71–80 (1976). (in Polish)
Soloviev, A.D., Sakhobov, O.: Two-sided estimates of the reliability of repairable systems. Izv. Akad. Nauk UzSSR. Ser. Fiz. Mat. Nauk. 5, 28–33 (1976). (in Russian)
Sakhobov, O., Soloviev, A.D.: Two-sided estimates of reliability in a general standby model with one renewal unit. Eng. Cybern. 15(4), 58–63 (1978). [Translated from Izv. Akad. Nauk SSSR. Tehn. Kibernet. 4, 94–99 (1977). (in Russian)]
Soloviev, A.D., Sahobov, O.: Two-sided estimates for the probability of the failure of a system over a single period of regeneration. Izv. Akad. Nauk UzSSR. Ser. Fiz. Mat. Nauk. 2, 41–46 (1977). (in Russian)
Kozlov, V.V., Soloviev, A.D.: Optimal servicing of renewable systems. I. Izv. Akad. Nauk SSSR. Tehn. Kibernet. 3, 79–84 (1978). (in Russian)
Kozlov, V.V., Soloviev, A.D.: Optimal servicing of renewable systems. II. Izv. Akad. Nauk SSSR. Tehn. Kibernet. 4, 75–80 (1978). (in Russian)
Soloviev, A.D.: Computation and Estimation of Reliability Characteristics. Znanie, Moscow (1975). (In Russian)
Pechinkin, A.V., Soloviev, A.D., Yashkov, S.F.: A system with servicing discipline whereby the order of minimum remaining length is serviced first. Izv. Akad. Nauk SSSR. Tehn. Kibernet. 5, 51–58 (1979). (in Russian)
Soloviev, A.D.: Analysis of the system \(M|G|1|\infty \) for different service disciplines. Teoriya massovogo obslujivaniyaiva. Trudy vsesojuznoi shkoly-seminara. Zagul’ba, 1978. VNIISI, Moscow, pp. 172–178 (1981). (in Russian)
Zamyatin, A.A., Soloviev, A.D.: The asymptotic behavior of a servicing process in a single-channel system under conditions of a critical load. Izv. Akad. Nauk SSSR. Tehn. Kibernet. 4, 115–119 (1981). (in Russian)
Soloviev, A.D., Shakhbazov, A.A.: Nonhomogeneous standby with renewal. Izv. Akad. Nauk SSSR Tehn. Kibernet. 5, 36–45 (1981). (in Russian)
Beljaev, Y.K., Kolmogorov, A.N., Soloviev, A.D.: Boris Vladimirovich Gnedenko (on the occasion of his seventieth birthday). Uspehi Mat. Nauk. 37(6)(164), 243–248 (1982) (in Russian)
Gnedenko, B.V., Soloviev, A.D.: Mathematics and reliability theory. Novoe v Zhizni, Nauke, Tekhnike: Seriya “Matematika, Kibernetika” 82, 10. Moscow, Znanie, 64 p. (1982). (in Russian)
Soloviev, A.D.: Mathematical methods of analysis of systems with recovery, pp. 67–96. Znanie, Moscow (1982). (in Russian)
Soloviev, A.D.: Analytical methods of derivation and estimation of reliability. In: Gnedenko, B.V. (ed.) Voprosy matematicheskoi teorii nadezhnosti, pp. 9–112. Radio i svyaz’, Moscow (1983). (in Russian)
Soloviev, A.D.: Analyticzne metody w teorii niezawodności. Warsawa. Wydawnictwa Naukowo-Techniczne (WNT), 192 p. (1983). (in Polish)
Sakhobov, O., Soloviev, A.D.: Two-sided estimates of the reliability characteristics of renewable systems. Tashkent, Fan (1983). (in Russian)
Brysina, I.V., Soloviev, A.D.: Asymptotic analysis of queueing grids in the case of a small load. Eng. Cybern. 21(3), 35–41 (1984). [Translated from Izv. Akad. Nauk SSSR. Tekhn. Kibernet. 3, 40–47 (1983). (in Russian)]
Soloviev, A.D., Soloviev, S.A.: Queueing systems with hidden service. In: Upravlenie, nadejnost’ i navigaciya. Saransk, Izd. Mordovskogo univ., pp. 82–89 (1984)
Pechinkin, A.V., Soloviev, A.D.: An analysis and an optimization of the unichannel service system for a different disciplines. In: Proceedings of 3rd International Seminar on Teletraffic Theory on Fundamentals of Teletraffic Theory (Moscow, June 1984), pp. 342–351. VINITI, Moscow (1984)
Soloviev, A.D., Afanasiev, B.A.: An invariant queueing discipline in a repairable system. Vestnik Moskov. Univ. Ser. I Mat. Mekh 1, 26–29 (1985)
Soloviev, A.D.: Methods of reliability computation for systems with recovery, pp. 457–470. In: Handbook Nadejnost tehnicheskih sistem, Moscow, Radio i svyaz (1985)
Val’des Kastro, K., Soloviev, A.D.: A model of priority standby with replacement. Vestnik Moskov. Univ. Ser. I Mat. Mekh 2, 34–39 (1986)
Soloviev, A.D., Soloviev, S.A.: Queueing systems with a limited time in the system. Soviet J. Comput. Syst. Sci. 24(4), 129–133 (1986). [Translated from Izv. Akad. Nauk SSSR. Tehn. Kibernet. 1, 184–188 (1986). (in Russian)]
Dyakonova, E.E., Soloviev, A.D.: A single-line system with group serving under heavy load conditions. Soviet J. Comput. Syst. Sci. 25(4), 74–79 (1987). [Translated from Izv. Akad. Nauk SSSR. Tehn. Kibernet. 6, 35–39 (1986). (in Russian)]
Bashmakova, I.G., Belyaev, Y.K., Kolmogorov, A.N., Petrova, S.S., Soloviev, A.D., Cherkasov, R.S.: Boris Vladimirovich Gnedenko. Mat. v Shkole 2, 62–63 (1987). (in Russian)
Soloviev, A.D., Mirzaev, I.K.: An estimate for the distribution of intervals of failure-free operation. Dokl. Akad. Nauk UzSSR 10, 9–12 (1988). (in Russian)
Soloviev, A.D.: Reliability estimation for repairable systems, pp. 3–60. Znanie, Moscow (1987)
Soloviev, A.D.: Methods of derivation of two-sided estimates for the reliability of repairable systems. In: Osnovnye voprosy teorii i praktiki in reliability. Minsk, Minskoe uchilische PVO, pp. 184–191 (1988). (in Russian)
Abdel-Rakhman, M., El-Saudi, F., Soloviev, A.D.: Standby with repair and unreliable switches. Moscow Univ. Math. Bull. 44(4), 90–93 (1989). [Translated from Vestnik Moskov. Univ. Ser. I Mat. Mekh. 4, 86–88 (1989). (in Russian)]
Abdel-Rakhman, M., El-Saudi, F., Soloviev, A.D.: A model of complex repairable system with elements of different reliabilities. Vestnik Moskov. Univ. Ser. I Mat. Mekh. 4, 191–196 (1989). (in Russian)
Belyaev, Y.K., Gnedenko, B.V., Soloviev, A.D.: Mathematical reliability-theoretical research at the probability theory department. Theory Probab. Appl. 34(1), 165–169 (1989). [Translated from Teoriya veroyatn. i ee primen. 34(1), 191–196 (1989). (in Russian)]
Dvinskikh, S.F., Soloviev, A.D.: Repairable systems with multiple failures. Moscow Univ. Math. Bull. 46(4), 53–55 (1991). [Translated from Vestnik Moskov. Univ. Ser. I Mat. Mekh. 4, 74–77 (1991). (in Russian)]
Galtsov, M.V., Soloviev, A.D.: A simplest model of testing of complex programs. Vestnik Moskov. Univ. Ser. I Mat. Mekh. 5, 74–76 (1991). (in Russian)
Konstantinidis, D.G., Soloviev, A.D.: A uniform estimate for the reliability of a complex repairable system with an unlimited number of repair units. Moscow Univ. Math. Bull. 46(3), 21–24 (1991). [Translated from Vestnik Moskov. Univ. Ser. I Mat. Mekh. 3, 21–26 (1991). (in Russian)]
Konstantinidis, D.G., Soloviev, A.D.: Reliability estimation of a complex renewable system with an unbounded number of repair units. J. Appl. Probab. 28(4), 833–842 (1991)
Soloviev, A.D., Konstantinidis, D.G.: Reliability estimation of a complex renewable system with an unbounded number of repair units. Theory Probab. Appl. 37(1), 98–100 (1993). [Translated from Teoriya veroyatn. i ee primen. 37(1), 91–94 (1992). (in Russian)]
Polyakov, A.P., Soloviev, A.D.: Reliability estimate for the model of cold standby with repair in the case of unbounded number of repairing units. Vestnik Moskov. Univ. Ser. I Mat. Mekh. 5, 18–23 (1992). (in Russian)
Karaseva, N.G., Soloviev, A.D.: An estimate of the mean life time of repairable systems. Vestnik Moskov. Univ. Ser. I Mat. Mekh. 5, 25–29 (1998). (in Russian)
Soloviev, A.D.: Kolmogorov Andrej Nikolaevic. In: Macorini, E. (ed.) Scienziati e technologi contemporanei. Milano 2, 117–118 (1974)
Petrova, S.S., Soloviev, A.D.: Theory of finite differences. In: Kolmogorov, A.N., Youschkevitch, A.P. (eds.) Mathematics in XIX century. Birkhauser Verlag, Boston-Berlin (1998). [translated from Matematika XIX veka. Moscow, Nauka, pp. 240–285 (1987). (in Russian)]
Soloviev, A.D.: Nekrasov and the central limit theorem of the theory of probability. Archives Int. D’Histoire des Sci. 58(160–161), 353–364 (2008). [Translated from Istoriko-matematicheskie issledovaniya, second ser., 2(37), 9–22 (1997). (in Russian)]
Petrova, S.S., Soloviev, A.D.: The origin of the method of steepest descent. Hist. Math. 24(4), 361–375 (1997). [Translated from emphIstoriko-matematicheskie issledovaniya 35, 148–164 (1994). (in Russian)]
Soloviev, A.D.: The asymptotic Laplace methods. Istoriko-matematicheskie issledovaniya, second ser. 4(39), 277–287 (1999). (in Russian)
Soloviev, A.D.: The moment problems for entire analytic functions. Thesis of Candidate of Physics, Mathematics and Life Sciences. MSU, Moscow (1955)
Soloviev, A.D.: Queueing systems with fast service. Thesis of Doctor of Physics, Mathematics and Life Sciences. MSU, Moscow (1972)
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Gnedenko, D.B., Demidov, S.S., Zubkov, A.M., Kashtanov, V.A. (2017). A. D. Soloviev. In: Rykov, V., Singpurwalla, N., Zubkov, A. (eds) Analytical and Computational Methods in Probability Theory. ACMPT 2017. Lecture Notes in Computer Science(), vol 10684. Springer, Cham. https://doi.org/10.1007/978-3-319-71504-9_1
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