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Path delays in communication networks. (English) Zbl 0309.60066


MSC:

60K25 Queueing theory (aspects of probability theory)
90B15 Stochastic network models in operations research
90B10 Deterministic network models in operations research
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References:

[1] J. W. Cohen,The Single Server Queue, Amsterdam: North-Holland Publishing Company, 1969. · Zbl 0183.49204
[2] N. U. Prabhu,Queues and Inventories, New York: Wiley, 1965.
[3] L. Takacs,Introduction to the Theory of Queues, New York: Oxford University Press, 1962. · Zbl 0118.13503
[4] W. S. Jewell, ?A Simple Proof ofL = ?W?,Operations Research, 15, pp. 1109-1116, 1967. · Zbl 0155.24802 · doi:10.1287/opre.15.6.1109
[5] T. M. Cover, ?Broadcast Channels?,IEEE Trans. on Information Theory, vol. 18, pp. 2-14, January, 1972. · Zbl 0228.94008 · doi:10.1109/TIT.1972.1054727
[6] R. M. Gray andP. P. Bergmans, ?Two Problems in Simultaneous Communications?,IEEE Transactions on Communications, vol. 21, pp. 763-767, June, 1973. · doi:10.1109/TCOM.1973.1091719
[7] L. Kleinrock,Communication Nets, New York: McGraw-Hill, 1964. · Zbl 0274.90012
[8] L. Kleinrock, ?Scheduling, Queueing and Delays in Time-Shared Systems and Computer Networks?, inComputer?Communication Networks, Ed. by N. Abramson and F. F. Kuo. Englewood Cliffs, New Jersey: Prentice-Hall, 1973.
[9] J. R. Jackson, ?Networks of Waiting Lines?,Operations Research, vol. 5, pp. 518-521, 1957. · doi:10.1287/opre.5.4.518
[10] W. J. Gordon andG. F. Newell, ?Closed Queueing Systems with Exponential Servers?,Operations Research, vol. 15, pp. 254-265, 1967. · Zbl 0168.16603 · doi:10.1287/opre.15.2.254
[11] H. Kobayashi, ?Application of the Diffusion Approximation to Queueing Networks: Part I?Equilibrium Queue Distributions?,Proceedings of the ACM SIGME Symposium on Measurement and Evaluation (Palo Alto), pp. 54-62, February, 1973.
[12] H. Frank andI. T. Frisch,Communication, Transmission, and Transportation Networks, Reading, Massachusetts: Addison-Wesley, 1971. · Zbl 0281.94012
[13] H. D. Friedman, ?Reduction Methods for Tandem Queueing Systems,?Operation Research, Vol. 13, pp. 121-131, 1965. · Zbl 0143.40702 · doi:10.1287/opre.13.1.121
[14] B. Avi-Itzhak, ?A sequence of Service Stations with Arbitrary Input and Regular Service Times,?Management Science, Vol. 11, No. 5, pp. 565-571, March 1965. · Zbl 0156.18602 · doi:10.1287/mnsc.11.5.565
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