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Multidimensional limit theorems in models with categorized-time absolute priorities

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Abstract

One describes the class of all possible limit distributions for the random vector of waiting times in a queueing system with absolute priorities.

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Literature cited

  1. O. I. Bronshtein and I. M. Dukhovnyi, Priority Queueing Models in Computer Information Systems [in Russian], Nauka, Moscow (1976).

    Google Scholar 

  2. E. A. Danielyan, “Waiting time in a model with categorized-time priorities,” Kibernetika, No. 6, 103–109 (1980).

    Google Scholar 

  3. É. A. Danielyan and P. T. Khostikyan, “Limit theorems in the models\(\vec M_z |\vec G_z |1|\infty\) with time-categorized absolute and relative priorities for fixed loads,” in: Intercollegiate Transactions in Mathematics [in Russian], No. 1, Erevan (1982), pp. 134–164.

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  4. É. A. Danielyan, “The mathematical theory of the priority models\(\vec M_z |\tilde G_z |1|\infty\),” Author's Abstract of Doctoral Dissertation, Moscow State Univ. (1981).

  5. G. E. Shilov, Mathematical Analysis. A Special Course, Pergamon Press, Oxford (1965).

    Google Scholar 

  6. W. Feller, An Introduction to Probability Theory and Its Applications, Vols. I, II, Wiley, New York (1968 and 1966).

    Google Scholar 

  7. G. S. Grigoryan and É. A. Danielyan, “On a method of analysis of priority systems,” in: Intercollegiate Transactions in Mathematics [in Russian], No. 1, Erevan (1982), pp. 165–196.

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  8. B. V. Gnedenko and I. N. Kovalenko, Introduction to Queueing Theory, Israel Program for Scientific Translations, Jerusalem (1968).

    Google Scholar 

  9. R. L. Dobrushin, “A lemma on the limit of a composite random function,” Usp. Mat. Nauk,10, No. 2 (64), 157–159 (1955).

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Authors
  1. É. A. Danielyan
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  2. G. S. Grigoryan
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Additional information

Translated from Veroyatnostnye Raspredeleniya i Matematicheskaya Statistika, pp. 131–155, 1986.

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Danielyan, É.A., Grigoryan, G.S. Multidimensional limit theorems in models with categorized-time absolute priorities. J Math Sci 38, 2239–2253 (1987). https://doi.org/10.1007/BF01093825

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  • DOI: https://doi.org/10.1007/BF01093825

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