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Let us define d, as the inter-departure time between the cells in this case. Then we get d2 = max(b, a), where a is the interarrival time of cells of source i within a burst (subscript i removed for simplification). Since d2 is random variable, let us define /d,(d) and D2(s) as the density function and Laplace Transform of d2, respectively. ) are the density and distribution functions of a, respectively. Since a is constant, fa(d) = b(d- a) where ais dirac delta function. d,(d)e-d'dd fo(b)e-''db + Fo(a)c"' Vacation Period And Queue Length Distribution In the previous section, we considered the server with vacations, where the vacation period is equivalent to the service time required to serve all the cells ahead of tagged cell of the tagged source in the multiplexer buffer.

1993, pp. 446-459. M. R. Frater, P. Tan and J. F. Arnold, "Variable Bit Rate Video Traffic on the Broadband ISDN: Modeling and Verification", lTC 14, 1994, pp. 1351-1360. M. W. D. , May 1993. M. W. Garret,W. , "Modeling and Generation of Self-Similar VBR Video Traffic", SIGCOMM'94, London, Sept. 269-280. P. Pancha, M. 54-66. C. H. Sauer, E. A. MacNair and J. F. , April1982. BIOGRAPHY Marco Conti received the Laurea degree in Computer Science from the University of Pisa, Pisa, Italy, in 1987. In 1987 he joined the Networks and Distributed Systems department of CNUCE, an institute of CNR (the Italian National Research Council).

Prof. D. from Queen's University, Canada in 1981. He has been on the faculty of the Indian Institute of Technology, Kanpur since 1982 where he is currently a Professor in the Department of Electrical Engineering. He has been active in the area of Computer Networks and related applications and is one of the Coordinators of the ERNET project providing network facilities to academic and research institutions in India. 3 Using Markovian Models to Replicate Real ATM Traffics Ake Arvidsson* and Christer Lindt+ University of Karlskrona/Ronneby* and Telia Research ABt *Dept.

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