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https://elib.bsu.by/handle/123456789/287967
Заглавие документа: | Queuing system with two types of customers and dynamic change of a priority |
Авторы: | Klimenok, Valentina Dudin, Alexander Dudina, Olga Kochetkova, Irina |
Тема: | ЭБ БГУ::ЕСТЕСТВЕННЫЕ И ТОЧНЫЕ НАУКИ::Математика ЭБ БГУ::ЕСТЕСТВЕННЫЕ И ТОЧНЫЕ НАУКИ::Кибернетика |
Дата публикации: | 2020 |
Издатель: | MDPI AG |
Библиографическое описание источника: | Mathematics 2020;8(5) |
Аннотация: | The use of priorities allows us to improve the quality of service of inhomogeneous customers in telecommunication networks, inventory and health-care systems. An important modern direction of research is to analyze systems in which priority of a customer can be changed during his/her stay in the system. We considered a single-server queuing system with a finite buffer, where two types of customers arrive according to a batch marked Markov arrival process. Type 1 customers have non-preemptive priority over type 2 customers. Low priority customers are able to receive high priority after the random amount of time. For each non-priority customer accepted into the buffer, a timer, which counts a random time having a phase type distribution, is switched-on. When the timer expires, the customer with some probability leaves the system unserved and with the complimentary probability gains the high priority. Such a type of queues is typical in many health-care systems, contact centers, perishable inventory, etc. We describe the behavior of the system by a multi-dimensional continuous-time Markov chain and calculate a number of the stationary performance measures of the system including the various loss probabilities as well as the distribution function of the waiting time of priority customers. The illustrative numerical examples giving insights into the system behavior are presented. |
URI документа: | https://elib.bsu.by/handle/123456789/287967 |
DOI документа: | 10.3390/MATH8050824 |
Scopus идентификатор документа: | 85086101640 |
Финансовая поддержка: | The publication has been prepared with the support of the RUDN University Program 5-100. |
Лицензия: | info:eu-repo/semantics/openAccess |
Располагается в коллекциях: | Статьи факультета прикладной математики и информатики |
Полный текст документа:
Файл | Описание | Размер | Формат | |
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mathematics-08-00824-v2.pdf | 1,53 MB | Adobe PDF | Открыть |
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