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DOI 10.34229/KCA2522-9664.25.6.11
UDC 519.872

O.V. Koba
V.M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine,
Kyiv, Ukraine, ekoba2056@gmail.com


RESEARCH OF MASS SERVICE SYSTEMS WITH MULTIPLE REQUESTS
AND THE MODE OF STRICT PLANNING BY THE METHOD OF STATISTICAL MODELING

Abstract. By the method of statistical modeling, the system of mass service with multiple requests and the mode of strict planning is investigated. A method for modeling systems with multiple applications and a strict term of service planning is developed, formulas for implementation during the period of employment, as well as formulas for calculating partial indicators of functioning efficiency, are derived.

Keywords: mass service system, multiple requests, strict planning mode, statistical model, employment period, system efficiency indicators.


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REFERENCES

    • 1. Gnedenko B.V., Kovalenko I.N. Introduction to Queueing Theory [in Russian]. 3rd ed., corrected and enlarged. Moscow: KomKniga, 2005. 330 p.
    • 2. Sedyakin N.M. Elements of the Theory of Random Pulse Streams. Moscow: Sov. Radio, 1965. 263 p.
    • 3. Levterov A. Тraffic flows modelling based on probability of coincidence of chaotic impulses of random duration and random intervals between them. Автомобильный транспорт. 2017. Вып. 41. C. 204–212.
    • 4. Koba E.V., Dyshliuk O.N. Estimating the overlapping probability for complex demands in queueing systems. Cybernetics and Systems Analysis. 2010. Vol. 46, N 3. P. 506–511. https://doi.org/10.1007/s10559-010-9226-x.
    • 5. Koba E.V., Dyshlyuk O.N. Renewal type queues with a complex arrival process. Journal of Automation and Information Sciences. 2011. Vol. 42, N 8. P. 48–54. https://doi.org/10.1615/JAutomatInfScien.v42.i8.60.
    • 6. Cox D. Renewal theory. Science Paperbacks and Methuen & Go Ltd, 1962. 142 p.
    • 7. Крейн М., Лемуан О. Введение в регенеративный метод анализа моделей. Москва: Наукa. 1982, 104 с.
    • 8. Asmussen S. Applied probability and queues. 2nd ed. New York: Springer, 2003. 483 p. https://doi.org/10.1007/b97236.



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