Results 1 to 10 of about 259 (121)

Analysis of a system with exponential and hyper-Erlang distributions by the method of spectral decomposition of the solution the Lindley integral equation

open access: yesФизика волновых процессов и радиотехнические системы, 2019
In this work, we obtain the spectral decomposition of the solution of the Lindley integral equation for a queuing system with a Poisson input flow of requirements and a hyper-Erlang distribution of the service time.
V.N. Tarasov, N.F. Bahareva, O. Kada
doaj   +3 more sources

The Solution Method for Lindley Integral Equation

open access: yesTelecom IT, 2020
Research subject. This article considers the problem of solving the Lindley integral equation for esti-mating the average waiting time of a request in a queue in the general type queueing system. Method. Here we obtain a solution of the Lindley integral equation using selective functions. Core results.
Igor Kartashevskiy
openaire   +3 more sources

Mathematical model of delay based on a system with gamma distribution

open access: yesФизика волновых процессов и радиотехнические системы, 2021
This article is devoted to the analysis of a queuing system formed by two flows with density functions of the gamma distribution law in order to derive a solution for the average delay of requests in the queue, which is the main characteristic for any ...
Veniamin N. Tarasov
doaj   +1 more source

Spectral expansion method for analysis of a system with shifted Erlang and hyper-Erlang distributions

open access: yesФизика волновых процессов и радиотехнические системы, 2021
In this paper, we obtained a spectral expansion of the solution to the Lindley integral equation for a queuing system with a shifted Erlang input flow of customers and a hyper-Erlang distribution of the service time.
Veniamin N. Tarasov   +1 more
doaj   +1 more source

Spectral decomposition for a QS based delay model with Erlang and hyperexponential distributions

open access: yesФизика волновых процессов и радиотехнические системы, 2022
This article is devoted to the study and obtaining a closed-form solution for the average delay of claims in a queue for a QS formed by two flows with Erlang and hyperexponential distributions of the second order for time intervals.
Veniamin N. Tarasov
doaj   +1 more source

Mathematical delay model based on QS with hyperexponential and Erlang distributions

open access: yesФизика волновых процессов и радиотехнические системы, 2022
This article is devoted to the study and obtaining a closed-form solution for the average delay of claims in the queue for a queuing system formed by two flows with hyperexponential and Erlang distributions of intervals.
Veniamin N. Tarasov
doaj   +1 more source

Spectral solution for a delay system with hyper-Erlang distributions

open access: yesФизика волновых процессов и радиотехнические системы, 2022
The article is devoted to the construction of a mathematical model for delaying claims in a queue in the form of a queuing system described by two flows with the laws of distribution of time intervals shifted to the right by hyper-Erlang distributions of
Veniamin N. Tarasov   +1 more
doaj   +1 more source

Delay model based on shifted hyperexponential and Erlang distributions

open access: yesФизика волновых процессов и радиотехнические системы, 2022
This article is devoted to the derivation of results for the average delay of requests in the queue for a queuing system formed by two flows with the laws of interval distributions in the form of second-order hyperexponential and Erlang distributions ...
Veniamin N. Tarasov   +1 more
doaj   +1 more source

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