Ruslana Nekrasova, Evsey Morozov, Dmitry Efrosinin,
"Verification of Stability Condition in Unreliable Two-Class Retrial System with Constant Retrial Rates"
, in Vishnevskiy, V.M., Samouylov, K.E., Kozyrev, D.V.: Distributed Computer and Communication Networks: Control, Computation, Communications. DCCN 2022. Lecture Notes in Computer Science, Serie Lecture Notes in Computer Science (LNCS), Vol. 13766, Springer, Seite(n) 297-308, 2023, ISBN: 978-3-031-23206-0
Original Titel:
Verification of Stability Condition in Unreliable Two-Class Retrial System with Constant Retrial Rates
Sprache des Titels:
Englisch
Original Buchtitel:
Distributed Computer and Communication Networks: Control, Computation, Communications. DCCN 2022. Lecture Notes in Computer Science
Original Kurzfassung:
A two-class single-server retrial system with Poisson inputs is considered. In this system, unlike conventional retrial systems, each new ith class customer joins the ?end? of a virtual ith class orbit, and the ?oldest? customer from each orbit is only allowed to make an attempt to occupy server after a class-dependent exponential retrial time. Moreover, the server is assumed to be not reliable, and a customer whose service is interrupted joins the ?top? of class-i orbit queue. Thus FIFO discipline is applied in both orbits. Using regenerative methodology and Markov Chain approach we derive stability conditions of this system relying on analysis for less-complicated model with reliable server. Obtained conditions are verified by simulation. Additionally, we analyze a controllable variant of the main model operating under a c?-rule. For that case the system becomes less stable comparing to the non-controllable counterpart.
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