Abstract
An adaptive random multiple access protocol for stabilizing bistable and unstable communication networks is designed. Non-Markovian models of these networks are studied. The traffic capacity of a network with a finite and infinite number of work stations, the asymptotic stationary distribution of state probabilities, and the main probabilistic-time characteristics of a network are determined.
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REFERENCES
Kuznetsov, D.Yu. and Nazarov, A.A., Communication Networks with a Finite Number of Terminal Stations controlled by an Adaptive Random Multiple Access Protocol under Overloads, Avtom. Telemekh., 1999, no. 12, pp. 99–113.
Bertsekas, D. and Gallager, R., Data Networks, Englewood Cliffs: Prentice Hall, 1987. Translated under the title Seti peredachi dannykh, Moscow: Mir, 1989.
Nazarov, A.A. and Yurevich, N.M., Bistability in Networks with Aloha Protocol for a Finite Number of Stations, Avtom. Telemekh., 1996, no. 9, pp. 91–100.
Nazarov, A.A., Stable Operation of Unstable Communication Networks with Random Multiple Access Protocols, Probl. Peredachi Inf., 1997, no. 2, pp. 101–111.
Basharin, G.P., Kharkevich, A.D., and Shneps, M.A., Massovoe obsluzhivanie v telefonii (Queueing in Telephony), Moscow: Nauka, 1968.
Nazarov, A.A. and Pichugin, S.B., Satellite-Aided Communication Networks: An Investigation through Modeling Method, Izv. Vuzov. Fiz., 1992, no. 9, pp. 120–127.
Gortsev, A.M., Nazarov, A.A., and Terpugov, A.F., Upravlenie i adaptatsiya v sistemakh massovogo obsluzhivaniya (Control and Adaptation in Queueing Systems), Tomsk: Tomsk. Gos. Univ., 1978.
Feller,W., An Introduction to Probability Theory and Its Applications, New York: Wiley, 1957. Translated under the title Vvedenie v teoriyu veroyatnostei i ee prilozheniya, Moscow: Mir, 1967.
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Kuznetsov, D.Y., Nazarov, A.A. Non-Markovian Models of Communication Networks with Adaptive Random Multiple Access Protocols. Automation and Remote Control 62, 789–808 (2001). https://doi.org/10.1023/A:1010231008994
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DOI: https://doi.org/10.1023/A:1010231008994