Abstract
This paper presents a new approach to the modelling and analysis of the multiple token ring. The application of diffusion approximation allows the calculation of mean value and p percentile of the number of packets waiting for transmission. Since it provides good results for heavy traffic, diffusion approximation may help the network designer in buffer dimensioning. A sensitivity analysis shows that the impact of the variation coefficient of packet length may be ignored. However, the assumption of Poisson arrivals which is often used in network analysis has far-reaching consequences.
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References
A Selection of Scientific Quotations. Collected by A.L. Mackay (M. Ebison, Ed.).
Bux W., “Local-Area Subnetworks: A Performance Comparison”, IEEE Trans. Commun., Vol. COM-29, No. 10, Oct. 1961, pp. 1465–1473
Bux W., Schlatter, M., “An Approximate Method for the Performance Analysis of Buffer Insertion Rings”, IEEE Trans. Commun., Vol. COM-31, No. I, Jan. 1983., pp. 50 - 55
Christensen O.S., and Franta W.R., “Design and Analysis of the Access Protocol for HYPER channel Networks”, Proceedings of The 3rd USA-Japan Computer Conference, 1978
Danthine A., “A Backbone Wideband Network for LAN Interconnection”, Proceedings of the Fourth Annual European Fibre Optic Communications and Local Area Networks Exposition, Amsterdam 1986, pp. 266–273
Danthine A., Vyncke E., “Broad Site Local Wideband Network” in “ESPRIT 84: Status Report of Ongoing Work”, J. Roukens, J.F. Renuart, Eds, North-Hoiland, 1985, pp. 337 - 353
Durvaux M., “The Implementation of the MAC and Physical Layers of the Backbone Wideband Network”, Proceedings of The Fourth Annual European Fibre Optic Communications and Local Area Networks Exposition, Amsterdam 1986, pp. 274 - 280
ECMA, “Standard ECMA-89, Local Area Networks, Token Ring Technique”, 2nd Edition, March 1985
Farmer W.D., and Newhall E.E., “An Experimental Distributed Switching System to Handle Bursty Computer Traffic.” Proceedings, ACM Symposium on Problems in the Optimization of Data Communication, 1969, pp. 1–33
“FDDI Token Ring Media Access Control”, Draft Proposed American National Standard, X3T9.5/83–16, Rev. 8, Mar. 1, 1985
Filipiak J., “Location of a Boundary for a Diffusion Equation of a Single Server Queue”, Oerfprmmance Evaluation, 6, 1986, pp. 205–218
Gaver D.P., “Diffusion Approximation and Models for Certain Congestion Problems”, J. Appl. Prob., 5, 1968, pp. 607- 623
Gelenbe E., “An approximate Computer System Model”, JACM, 22, 1975, pp. 261–269
Gelenbe E., Mitrani I., “Analysis and Synthesis of Computer Systems”, Academic Press, 1980
Oelenbe E., “Introduction Aux Reseaux De Files D’Attente”, Editions EYROLLES, 1982 (in French)
IEEE, “Local Area Network Standards – Token Ring Access Method and Physical Layer Specifications”, 802.5/83/36, Working Draft, Sept. J 983
Kleinrock L., Tobagi F.A., “Packet switching in radio channels: Part I — Carrier sense multiple-access modes and their throughput-delay characteristics”, IEEE Trans. Commun., Vol. COM-23, Dec. 1975, pp. 1400–1416
Martini P., “Backbone-Netze”, tobe published in Informatik Spektrum (in German)
Martini P., “Protocols for High Speed LANs — A Performance Comparison”, IFIP Workshop on High Speed Local Area Networks, Aachen. 16–17 February, 1987
Martini P., Spaniol, O., “Token-Passing in High-Speed-Backbone-Networks for Campus-Wide Environments”, submitted for Computer Networks and ISDN Systems
Reiser M., Kobayashi H., “Accuracy of the Diffusion Approximation for some Queueing Systems”, IBM J. Res. Develop., 18, 1974, pp. 110 – 124
Shoch J.F., Hupp J.A., “Measured Performance of an Ethernet Local Network”, Communication of the ACM, Vol. 23, Nr. 12, Dec. 1980, pp. 711 – 721
Tobagi F.A., et.al., “Modeling and Measurement Techniques in Packet Communication Networks”, Proceedings of the IEEE, Vol. 66, No. 11, Nov. 1978
Tobagi F.A., Kleinrock L., “Packet switching in radio channels: Part II — The hidden terminal problem in carrier sense multiple-access and the busy-tone solution”, IEEE Trans. Commun., Vol. COM-23, Dec. 1975, pp. 1417– 1433
Vyncke E., Danthine A., “A Realistic Simulation of a Wideband Backbone Network”, Proc. 8th International Conference on Computer Communication, ICCC ’86, Muenchen, September 15–19, 1986
Vyncke E., Danthine A., “Broad Site Local Wideband Communication System, Medium Access Control Specification”, ESPRIT Projekt 73, ESP-73-ULG-TS-008, University of Liege (Belgium)
Watson, K.S., “Performance Evaluation Of Cyclic Service Strategies — A Survey”, in Performance ’84, Gelenbe E., Ed., North-Holland, 1984, pp. 521 – 533
Welzel T., “Analyse und Messung der Workload einer technisch-wissenschaftlichen Programmentwicklungsumgebung als Grundlage der Leistungsbewertung Lokaler Netze”, Proc. “Communication in Distributed Systems”, Informatik Fachberichte, Springer 1987 (in German)
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Martini, P. (1987). Modelling and Analysis of the Multiple Token Ring an Approach based on Diffusion Approximation. In: Gerner, N., Spaniol, O. (eds) Kommunikation in Verteilten Systemen. Informatik-Fachberichte, vol 130. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-71655-3_36
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DOI: https://doi.org/10.1007/978-3-642-71655-3_36
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