A source-retrial queuing network with finite shared buffers in multi-queue nodes: a method of approximate analysis
by Miron Vinarskiy
International Journal of Operational Research (IJOR), Vol. 42, No. 4, 2021

Abstract: This paper studies a model of a source-retrial open exponential queuing network, whose distinguishing features include multi-class traffic, multi-queue nodes, and an arbitrary network topology. A node model is presented as an exponential queuing sub-network that comprises several multi-class queues sharing a common waiting space (a buffer) of limited capacity. A customer arriving to a node with a fully occupied buffer is blocked and re-injected by the source after a delay into the network. This process is repeated until the customer completes his service in the network and exits it. A Poisson process is assumed for each class of input traffic to a node. The class input flow is a superposition of class external Poisson flow, class flows coming from other nodes, and class retrials. Under this assumption, a method of an approximate analysis of a non-congested network is presented.

Online publication date: Tue, 04-Jan-2022

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