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Journal of Applied Mathematics and Computational Mechanics

Tytuł artykułu

Diffusion approximation of the network with limited number of same type customers and time dependent service parameters

Autorzy Matalytski, M.  Kopats, D. 
Treść / Zawartość
Warianty tytułu
Języki publikacji EN
EN The article presents research of an open queueing network (QN) with the same types of customers, in which the total number of customers is limited. Service parameters are dependent on time, and the route of customers is determined by an arbitrary stochastic transition probability matrix, which is also dependent on time. Service times of customers in each line of the system is exponentially distributed. Customers are selected on the service according to FIFO discipline. It is assumed that the number of customers in one of the systems is determined by the process of birth and death. It generates and destroys customers with certain service times of rates. The network state is described by the random vector, which is a Markov random process. The purpose of the research is an asymptotic analysis of its process with a big number of customers, obtaining a system of differential equations (DE) to find the mean relative number of customers in the network systems at any time. A specific model example was calculated using the computer. The results can be used for modelling processes of customer service in the insurance companies, banks, logistics companies and other organizations.
Słowa kluczowe
PL sieci kolejkowe   analiza asymptotyczna   proces losowy  
EN queueing network   birth and death process   asymptotic analysis  
Wydawca Wydawnictwo Politechniki Częstochowskiej
Czasopismo Journal of Applied Mathematics and Computational Mechanics
Rocznik 2016
Tom Vol. 15, nr 2
Strony 77--84
Opis fizyczny Bibliogr. 12 poz.
autor Matalytski, M.
autor Kopats, D.
  • Faculty of Mathematics and Computer Science, Grodno State University Grodno, Belarus,
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Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.
Kolekcja BazTech
Identyfikator YADDA bwmeta1.element.baztech-c149dfcb-5c7b-4afe-935b-55e92c93ba06
DOI 10.17512/jamcm.2016.2.10