Two-Phase Resource Queueing System with Requests Duplication and Renewal Arrival Process

Galileyskaya, Anastasia; Lisovskaya, Ekaterina; Pagano, Michele; Moiseeva, Svetlana

doi:10.1007/978-3-030-66471-8_27

Cited by 2 publications

(3 citation statements)

References 12 publications

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“…Indeed, from Fig. 2, it is clear that π idle = 0.167, π loss = 0.172, π phase1 = 0.24, π phase2 = 0.49, which corresponds to the stationary probabilities calculated using formulas ( 6) and (7) presented in [24].…”

Section: Numerical Study Of a Two-phase Qs Transient Modementioning

confidence: 73%

“…To analyze the performance characteristics of the considered QS, first of all, the matrix A is constructed in accordance with (7) and (8), and then the matrix B is constructed in accordance with (17). Next, the elements of the matrix L(t) are written in accordance with (13).…”

Section: Numerical Study Of a Two-phase Qs Transient Modementioning

confidence: 99%

“…Moreover, the stationary operation mode of such systems is well studied both for the case of Poisson and correlated input flow. Let us note only some recent works on this topic [1][2][3][4][5][6][7].…”

Section: Introductionmentioning

confidence: 99%

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Transient Behavior of a Two-Phase Queuing System with a Limitation on the Total Queue Size

Vishnevsky,

Vytovtov,

Barabanova

2024

ARC

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The transient mode of a two-phase queuing system with a Poisson input flow, exponential distribution of service time in each phase, and a limitation on the total buffer size of the two phases is considered. Nonstationary probabilities of system states are found using the Laplace transform. A numerical calculation and analysis of the system performance characteristics in transient mode with parameters corresponding to new-generation optical networks were carried out.

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Section: Numerical Study Of a Two-phase Qs Transient Modementioning

confidence: 73%

Section: Numerical Study Of a Two-phase Qs Transient Modementioning

confidence: 99%

See 1 more Smart Citation

Transient Behavior of a Two-Phase Queuing System with a Limitation on the Total Queue Size

Vishnevsky,

Vytovtov,

Barabanova

2024

ARC

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show abstract

Transient Behavior of a Two-Phase Queuing System with a Limitation on the Total Queue Size

Vishnevsky,

Vytovtov,

Barabanova

2024

Avtomatika i telemehanika

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Рассмотрен переходной режим двухфазной системы массового обслуживания (СМО) с пуассоновским входным потоком, экспоненциальным распределением времени обслуживания на каждой фазе и ограничением на суммарный размер буфера двух фаз. Найдены нестационарные вероятности состояний системы с использованием преобразования Лапласа. Проведен численный расчет и анализ характеристик производительности системы в переходном режиме с параметрами, соответствующими оптическим сетям нового поколения.

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Two-Phase Resource Queueing System with Requests Duplication and Renewal Arrival Process

Cited by 2 publications

References 12 publications

Transient Behavior of a Two-Phase Queuing System with a Limitation on the Total Queue Size

Transient Behavior of a Two-Phase Queuing System with a Limitation on the Total Queue Size

Transient Behavior of a Two-Phase Queuing System with a Limitation on the Total Queue Size

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