Analytic functions, Kozubnik 1979. Proceedings conference by J. Lawrynowicz

By J. Lawrynowicz

With contributions by means of a number of specialists

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2. Wu, “Improving the Throughput of Point-to-Multipoint ARQ Protocols through Destination Set Spliting,” Proc. 262-271, June 1992. 3. Towsley, “Scalable Reliable Multicast Using Multiple Multicast Groups,” CMPSCI Tech Report TR 96-73, University of Massachusetts, Amherst, October 1996. 4. Nagarajan, “Efficient Rate-Controlled Bulk Data Transfer using Multiple Multicast Groups,” Proc. of IEEE INFOCOM’98, pp,11721179, June 1998. 5. 784-803, Dec. 1997. 6. Deering,“Host Extension for IP Multicasting,” RFC-1112, Aug.

Ntotal (E − F exp[−GNi+1 ]) (41) 28 M. Yamamoto, Y. Sawa, and H. 3, ∂N inceases monotonously. Thus, the optimal con2 > 0, so ∂N i i struction satisfies following equations, ∂D = 0 (i = 2, 3, · · · , L), ∂Ni N1 ≥ N2 ≥ · · · ≥ NL . [Node which relays packets to Sk restricts T1 ] (42) (43) Original node capability of a node relaying packets to Sk is RNtotal −k . Transformed capability of this node is ˆN R −k = RN −k − RN total total k+1 = {E − F exp[−G(Ntotal − k)]} −{E − F exp[−GNk+1 ]} = F {exp[−GNk+1 ] −exp[−G(Ntotal − k)]}.

G. delays in the transmission of the communications, crashes of the network and/or hosts). g. high number of hosts, high number of agents). The evaluation of GSD protocols have been done through simulations, carried out on the oRis simulator [11]. The simulation constitutes both a tool for the conception and an analytic device which allows, when the real situation is too complex, to rebuild an artificial environment where all the parameters are precisely controlled. However, it must be noted that the simulations are not sufficient.

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