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Open Jackson network with Markov chain-induced breaks and repairs under critical traffic: strong approximationстатья
- Авторы: Bashtova Elena, Lenena Elena
- Сборник: THE 5th INTERNATIONAL CONFERENCE ON STOСHASTIC METHODS (ICSM-5) Proceedings of the international scientific conference
- Год издания: 2020
- Издательство: People's Friendship University
- Местоположение издательства: Russian Federation
- Первая страница: 260
- Последняя страница: 264
- Аннотация: We consider a Jackson network with regenerative input flows in which every server is subject to breakdowns. Breakdowns and repairs occur in accordance with a Markov chain trajectory. We assume that all the servers work under critical traffic conditions, i.e. all the traffic coefficients are equal to one. We establish a theorem on a strong approximation of the vector of queue lengths by a reflected Brownian motion in positive orthant.
- Добавил в систему: Баштова Елена Евгеньевна