Publications

Scientific publications

Rogozin S.S., Morozov E.V.
Stability Condition of a Multi-class Modified Erlang System
// Communications in Computer and Information Science. vol.1391. 2021. Pp. 251­-263
We consider a modified Erlang loss system where the first priority customers (class-1) are lost if find all servers busy, while the second priority customers (class-2) form an infinite capacity queue. A new feature of this system is that sub-classes of class-1 customers are assigned on servers according to assignment probabilities. All customers follow Poisson inputs and have general class-dependent service time. We show how the product form of class-1 stationary probabilities can be used to obtain the stability condition of the whole system even when sub-classes of class-1 customers have different service rates. Also we perform discrete event simulation to confirm theoretical results.
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Last modified: January 26, 2022