DOAJ Open Access 2023

Bounds and Maxima for the Workload in a Multiclass Orbit Queue

Evsey V. Morozov Irina V. Peshkova Alexander S. Rumyantsev

Abstrak

In this research, a single-server <i>M</i>-class retrial queueing system (orbit queue) with constant retrial rates and Poisson inputs is considered. The main purpose is to construct the upper and lower bounds of the stationary workload in this system expressed via the stationary workloads in the classical <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>M</mi><mo>/</mo><mi>G</mi><mo>/</mo><mn>1</mn></mrow></semantics></math></inline-formula> systems where the service time has <i>M</i>-component mixture distributions. This analysis is applied to establish the extreme behaviour of stationary workload in the retrial system with Pareto service-time distributions for all classes.

Topik & Kata Kunci

Mathematics

Penulis (3)

Evsey V. Morozov

Irina V. Peshkova

Alexander S. Rumyantsev

Format Sitasi

APA MLA BibTeX

Morozov, E.V., Peshkova, I.V., Rumyantsev, A.S. (2023). Bounds and Maxima for the Workload in a Multiclass Orbit Queue. https://doi.org/10.3390/math11030564

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Informasi Jurnal

Tahun Terbit: 2023
Sumber Database: DOAJ
DOI: 10.3390/math11030564
Akses: Open Access ✓