Stationary probability distribution of a system with N equal customers with bursty demands connected to a single buffer

Rodríguez-Saіd R. D., Pogorui A. A., Rodríguez-Dagnіno Ramón М. (2007) Stationary probability distribution of a system with N equal customers with bursty demands connected to a single buffer. Stochastic Eqs (15). С. 181–204.

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Анотація

In this paper we study the stationary probability distribution of a system consisting of a finite capacity buffer connected to N equal customers with bursty on-off demands. We assume that the buffer is filled up at a constant rate and we analyze the case when this filling rate satisfies an optimization condition according to the customer demands. First, we consider semi-Markov on-off demands for the case N = 2 and we model the dynamics of the system using a semi-Markov evolution environment. We show that we can use the phase merging algorithm to reduce the problem to a Markov evolution environment case. Then, we generalize the results for any N using a birth-and-death process.

Тип ресурсу: Стаття
Класифікатор: Q Наука > QA Математика > Математичний аналіз
Відділи: Фізико-математичний факультет > Кафедра математичного аналізу, бізнес-аналізу та статистики
Користувач: Ірина Ігорівна Таргонська
Дата подачі: 21 Жовт 2014 07:23
Оновлення: 16 Лют 2023 13:18
URI: http://eprints.zu.edu.ua/id/eprint/13247

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