Symmetric token passing ring local area network with random choice of service discipline
Problemy fiziki, matematiki i tehniki, no. 2 (2016), pp. 39-41.

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The symmetric token-passing ring local area network with $N$ stations in which each station has a finite capacity buffer is studied. When token arrives the ordinary service discipline with the probability p or gated discipline with the opposite probability is on. The message arrival streams at each station are assumed to be independent Poisson processes with the same rate $\lambda$. The matrix-vector system for the steady-state probabilities and main characteristics of the considered network are obtained.
Keywords: token-passing ring local area network, finite capacity buffer, ordinary and gated service discipline, steady-state probabilities.
Mots-clés : station, message
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V. V. Burakovski. Symmetric token passing ring local area network with random choice of service discipline. Problemy fiziki, matematiki i tehniki, no. 2 (2016), pp. 39-41. http://geodesic.mathdoc.fr/item/PFMT_2016_2_a5/

[1] H. Takagi, Analysis of Polling Systems, MIT Press, Cambridge, M.A., 1986, 198 pp.

[2] V. Baks, “Koltsevye lokalnye seti s markernym dostupom i ikh proizvoditelnost”, TIIER, 1989, no. 2, 121–142 | MR

[3] ANSI/IEEE 802.5 Standard-1985. Tokenpassing Ring Access Method and Physical Layer Specification, IEEE Press, 1985, 89 pp.

[4] V. V. Burakovskii, V. O. Rodchenko, Lokalnye vychislitelnye seti, Kurs lektsii po spetskursu dlya studentov spetsialnosti 1-31 03 01 02 «Matematika (nauchno-pedagogicheskaya deyatelnost)» spetsializatsii 1-31 03 01 02 06 «Teoriya veroyatnostei i matematicheskaya statistika», UO «GGU im. F. Skoriny», Gomel, 2008, 78 pp.

[5] V. V. Burakovskii, “Simmetrichnaya koltsevaya lokalnaya set s protokolom markernogo dostupa, buferami konechnoi emkosti i ventilnoi distsiplinoi obsluzhivaniya”, Aerokosmicheskoe priborostroenie Rossii. Ser. 2. Avionika, 1, Natsionalnaya Assotsiatsiya aviapriborostroitelei (NAAP), S.-Peterburg, 1998, 38–46 | MR

[6] V. V. Burakovskii, “Imitatsionnaya model KLVS s beskonechnymi buferami i ventilnym obsluzhivaniem”, Efektivni nastroje modernich ved-2013, Materialy IX mezinarodni vedecko-prakticka conference, Dil 40. — Matematika (27 dubna–05 kvetna 2013 roku), ed. Z. Cernak, Publishing House «Education and Science» s.r.o., Praha, 2013, 19–22

[7] V. V. Burakovskii, G. A. Medvedev, “Koltsevaya lokalnaya set s protokolom markernogo dostupa”, Tekhnika sredstv svyazi. Seriya Sistemy svyazi, 1990, no. 7, 9–16