On stability of queueing models for slotted ring local area network

A study is made of a queueing system which is intended to model local area networks with slotted ring protocols and which generalizes some previously studied models. The author defines a special type of stability, called tau -stability, which is related to the slot rotation time tau . The author also presents a condition which is necessary for tau -stability of the queue length process and shows that under certain assumptions this condition is at the same time a sufficient condition.<
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