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Hundred years of A.K. Erlang’s formula and studies of the teletraffic theory. (English. Russian original) Zbl 1180.90069
Autom. Remote Control 70, No. 12, 1974-1976 (2009); translation from Avtom. Telemekh. 2009, No. 12, 39-41 (2009).
Summary: The author’s concepts of the progress of studies of the teletraffic theory over the last century were systematized.
MSC:
90B22 Queues and service in operations research
90-03 History of operations research and mathematical programming
01A60 History of mathematics in the 20th century
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[1] Brockmeyer, E., Halström, H.L., and Ensen, A., The Life and Works of A.K. Erlang, Copenhagen, 1948.
[2] Khinchin, A.Ya., Mathematical Methods of the Queuing Theory, Tr. Steklov Mat. Inst., 1955, Moscow: Akad. Nauk SSSR.
[3] Khinchin, A.Ya., Raboty po matematicheskoi teorii massovogo obsluzhivaniya (Works on the Mathematical Queuing Theory), Moscow: Fizmatgiz, 1963.
[4] Elldin, A. and Lind, G., Osnovy teorii teletrafika (Foundation of Teletraffic Theory), Kharkevich, A.D., Ed., Moscow: Svyaz’, 1972.
[5] Benesh, V.E., Matematicheskie osnovy teorii telefonnykh soobshchenii (Mathematical Foundation of Telephone Connections), Moscow: Svyaz’, 1968.
[6] Neiman, V.I., Teletraffic and the Queuing Theory, Autom. Remote Control, 2009, no. 12, pp. 1965–1973. · Zbl 1180.90077
[7] Fundamentals of Teletraffic Theory, in Proc. Third Int. Seminar Teletraffic Theory, Moscow, USSR, June 20–26, 1984.
[8] Proc. St. Petersburg Regional Int. Teletraffic Seminar Digital Communicat. Network Management, LONIIS, St. Petersburg, June 15–20, 1993.
[9] Bininda, N. and Wendt, A., Die Effective Erreichbarkeit für abnehmerbünder hinter Zwichenleitungsanordungen, Nacrictetechnic, 1959, vol. 12.
[10] Kharkevich, A.D., Method of Approximate Evaluation of the Throughput of Two-unit Switching System, Dokl. Akad. Nauk SSSR, 1957, vol. 114, no. 2, pp. 308–309.
[11] Kharkevich, A.D., Approximate Method for Calculation of the Number of Connectors in the Crossbar Exchange, Elektrosvyaz’, 1959, no. 2, pp. 55–63.
[12] http://www.erlang100.dk/ .
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