informИнформатикаInformatics1816-03012617-6963UIIP NASBinform-81Research ArticleМАТЕМАТИЧЕСКОЕ МОДЕЛИРОВАНИЕMATHEMATICAL MODELINGМНОГОЛИНЕЙНАЯ СИСТЕМА ОБСЛУЖИВАНИЯ С ПОВТОРНЫМИ ВЫЗОВАМИ КАК МОДЕЛЬ СОТЫ СЕТИ СВЯЗИMULTI-SERVER RERTIAL QUEUEING SYSTEM AS A MODEL OF A MOBILE NETWORK CELLДудинС. А.DudinS. A.dudin85@mail.ruДудинаО. С.DudinaO. S.dudina_olga@email.comБелорусский государственный университетBelarus201601102016021929Copyright © Дудин С.А., Дудина О.С., 20162016Дудин С.А., Дудина О.С.Dudin S.A., Dudina O.S.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://inf.grid.by/jour/article/view/81

Исследуется многолинейная система обслуживания с двумя типами запросов как модель соты сети связи. Часть приборов резервируется для обслуживания запросов первого типа. Запросы, не получившие обслуживание, могут совершать повторные попытки. На функционирование системы оказывают влияние случайные факторы, приводящие к изменению ее параметров, в том числе общего количества приборов и числа зарезервированных приборов. Описывается процесс функционирования системы, приводится условие существования стационарного режима и находится стационарное распределение вероятностей состояний системы. Рассчитываются формулы для нахождения основных характеристик производительности системы.

A multi-server queueing system with two types of customers as a model of a cell of mobile network is considered. Part of the servers is reserved for service of first type customers only. The customers who do not receive service can make repeated attempts. All the system parameters including the total number of servers and the number of reserved servers are influenced by a random environment. The process of the system states is constructed, the ergodicity condition is derived, the stationary distribution of the system states is computed. The formulas for the main performance measures of the system are presented.

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The authors declare that there are no conflicts of interest present.