Stability analysis of two-class retrial systems with constant retrial rates and general service times

Konstantin Avrachenkov; Evsey Morozov; Ruslana Nekrasova

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arXiv · 2110.09840

Stability analysis of two-class retrial systems with constant retrial rates and general service times

Konstantin Avrachenkov·Evsey Morozov·Ruslana Nekrasova

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Abstract

We establish stability criterion for a two-class retrial system with Poisson inputs, general class-dependent service times and class-dependent constant retrial rates. We also characterise an interesting phenomenon of partial stability when one orbit is tight but the other orbit goes to infinity in probability. All theoretical results are illustrated by numerical experiments.

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math.PR cs.NI cs.PF

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Konstantin Avrachenkov, Evsey Morozov, Ruslana Nekrasova. 2021-10-19. Stability analysis of two-class retrial systems with constant retrial rates and general service times. https://arxiv.org/abs/2110.09840

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