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ABSTRACT
We develop a method based on diffusion approximations in order to compute, under some general conditions, the queue length distribution for a queue in a network. Applications to computer networks and to time-sharing systems are presented.
REFERENCES
Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.
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Forest Baskett , K. Mani Chandy , Richard R. Muntz , Fernando G. Palacios, Open, Closed, and Mixed Networks of Queues with Different Classes of Customers, Journal of the ACM (JACM), v.22 n.2, p.248-260, April 1975
[doi> 10.1145/321879.321887]
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G.F. Newell, Applications of Queueing Theory, Chapman and Hall, Ltd. London, 1971, Chapter 6.
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D.P. Gaver and G.S. Shedler, "Multiprogramming System Performance via Diffusion Approximations", IBM Research Report RJ-938, 1971, Yorktown Heights, N.Y.
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H. Kobayashi, "Applications of the Diffusion Approximation to Queueing Networks: Part I and II", IBM Research Reports RC 3943, 1972, and RC 4054, 1972, Yorktown Heights, N.Y.
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R.L Disney and W.P. Cherry, "Some Topics in Queueing Network Theory", In Mathematical Methods in Queueing Theory A.B. Clarke (ed.), Springer-Verlag, Berlin, (1974).
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L. Pouzin, "CIGALE, the Packet-Switching Machine of the Cyclades Computer Network", Proc. IFIP Congress 74, Stockholm, North-Holland, 155-159 (Aug. 1974).
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M. Irland, "Simulation of Cigale, report on assumptions and results", CCNG Report E-32, University of Waterloo, (January 1975).
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H.A. Anderson and R. Sargent; "The statistical Evaluation of the performance of an Experimental APL/360 system". Statistical Computer Performance Evaluation, W. Freiberger (ed), p. 73-98, Academic press, 1972.
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