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Original Articles

The GI/Geom/N Queue In Discrete Time

Pages 232-252 | Received 16 Jan 1976, Published online: 25 May 2016

References

  • D.G. Kendall, “Stochastic processes occurring in the theory of queues and their analysis by the method of the imbedded Markov chain,” Ann. Math. Statist., vol. 24, 1953, 338–354.
  • C. Palm, “Intensitatsschwankungen im Ferpsprechverkehr,” Ericsson Technics, vol. 44, 1943, 1–189.
  • F. Pollaczek, “Generalisation de la theorie probabiliste des systems telephoniques sans dispositif d’attente,” Compt. Rend. Acad. Sci. (Paris), vol. 236, 1953, 1469–1470.
  • L. Takacs, “On the generalization of Erlang’s formula,” Acta Math. Acad. Sci. Hung., vol. 7, 1956, 419–433.
  • L. Takacs, “On a probability problem concerning telephone traffic,” Acta Math. Acad. Sci. Hung., vol. 8, 1957, 319–324.
  • L. Takacs, “On a queueing problem concerning telephone traiBc,” Acta Math. Acad. Sci. Hung., vol. 8,1957, 325–335.
  • M.F. Neuts, “The single server queue in discrete time —numerical analysis I,” Nav. Res. Log. Quart., vol. 20, no. 2,1973, 297–304.
  • E. Klimko and M.F. Neuts, “The single server queue in discrete time - numerical analysis II,” Nav. Res. Log. Quart., vol. 20, no. 2, 1973, 305–319.
  • M.F. Neuts and E. Klimko, “The single server queue in discrete time — numerical analysis III,” Nav. Res. Log. Quart., vol. 20, no. 3, 1973, 557–567.
  • D. Heimann and M.F. Neuts, “The single server queue in discrete time - numerical analysis iv,” Nav. Res. Log. Quart., vol. 20, no. 4, 1973, 753–766.
  • A.Y. Khintchine, Mathematical methods in the theory of queueing. New York: Hafner, 1969.
  • S. Erlander, “A Note on telephone traffic with losses,” J. Appl. Prob., vol. 4,1967, 406–408.
  • A.Y. Khintchine, “Erlang’s formulas in the theory of mass service,” Theor. Probability Appl., vol. 7,1963, 320–325.
  • L. Takacs, “On Erlang’s formula,” Ann. Math. Stat., vol. 40, 1969, 71–78.
  • E. Parzen, Stochastic processes. (Holden-Day, 1962, chap. 6.
  • S. Karlin, A first course in stochastic processes. New York: Academic Press, 1969, chap. 2.
  • A.T. Bharucha-Reid, Elements of the theory of Markov processes and their applications. New York: McGraw-Hill, 1960, chap. 9.

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