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Probabilistic models of computer systems
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Proceedings of the 1976 ACM SIGMETRICS conference on Computer performance modeling measurement and evaluation table of contents
Cambridge, Massachusetts, United States
Pages: 118 - 125  
Year of Publication: 1976
Authors
Sponsors
IFIP WG 7.3 : IFIP WG 7.3
SIGMETRICS: ACM Special Interest Group on Measurement and Evaluation
Publisher
ACM  New York, NY, USA
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Downloads (6 Weeks): 8,   Downloads (12 Months): 16,   Citation Count: 1
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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.

 
1
J.R. Jackson, "Jobshop-Like Queueing Systems", Management Science 10, p. 131-142, (1963).
2
 
3
G.F. Newell, Applications of Queueing Theory, Chapman and Hall, Ltd. London, 1971, Chapter 6.
 
4
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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6
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.
 
7
M. Reiser and H. Kobayashi, "Accuracy of the Diffusion Approximation for Some Queueing Systems", IBM J. Res. Devel. 18, p. 110-124, 2(1974).
 
8
M. Chandy, U. Herzog, L. Woo, "Parametric Analisis of Queueing Networks", IBM J. Res. Devel. 19, p. 36-42, 1(1975).
 
9
A. Chang, S.S. Lavenberg, "Work-rates in Closed Queueing Networks with General Independent Servers", Opns, Res. 22, p. 838-847, 4(1974).
 
10
E. Gelenbe and R.R. Muntz, "Exact and Approximate Models for computer System Behavior, Part I and II", to appear in Acta Informatica.
 
11
P.J. Burke, "The Output of a Queueing System", Opns. Res., 4, 699-704 (1956).
 
12
E. Reich, "Waiting Times when Queues are in Tandem", Annals Math. Stat., 28, 768-773, (1957).
 
13
C.D. Pack, "The Output of an M/D/1 Queue", Opns. Res., 23, 750-760, (1975).
 
14
K.T. Marshall, "Some Relationships between the Distributions of Waiting Time, Idle Time, and Inter-output Time in GI/G/1 Queue", SIAM J. Appl. Math., 16, 324-327, (1968).
 
15
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).
 
16
L. Pouzin, "CIGALE, the Packet-Switching Machine of the Cyclades Computer Network", Proc. IFIP Congress 74, Stockholm, North-Holland, 155-159 (Aug. 1974).
 
17
M. Irland, "Simulation of Cigale, report on assumptions and results", CCNG Report E-32, University of Waterloo, (January 1975).
 
18
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.