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Cybernetics And Systems Analysis
International Theoretical Science Journal
UDC 519.872
Kuznetsov N.Yu., Shumskaya A.A.

EVALUATION OF THE DEVIATION OF STEADY-STATE PROBABILITIES OF SYSTEM GI/G/m/r FROM STEADY-STATE PROBABILITIES OF SYSTEM M/M/m/r BY AN ANALYTICAL-STATISTICAL METHOD

Abstract. An algorithm intended for the simulation of “corrections” to characteristics of a general model when exponential distributions are substituted by nonexponential distributions is proposed. This algorithm is used to evaluate the deviation of steady-state probabilities of system GI/G/m/r from steady-state probabilities of system M/M/m/r. A numerical example is given.

Keywords: queuing system, steady-state probabilities, analytical-statistical method, Weibull distribution, estimate variance.



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Кузнецов Николай Юрьевич,
чл.-кор. НАН Украины, ведущий научный сотрудник Института кибернетики им. В.М. Глушкова НАН Украины, Киев,
e-mail: nkuznetsov2004@yandex.ru.

Шумская Алла Антоновна,
кандидат физ.-мат. наук, доцент Физико-технического института Национального технического университета Украины «Киевский политехнический институт»,
e-mail: shumska-aa@ukr.net.

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