Stability of token passing rings
Queueing Systems: Theory and Applications - Polling models
A novel approach to queue stability analysis of polling models
Performance Evaluation - Special issue on performance and control of network systems
Stability of N interacting queues in random-access systems
IEEE Transactions on Information Theory
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In this paper we study stability comparison among queues in single-server-multiple-queue systems. We establish trichotomy between two queues in terms of stability. We introduce a concept of degree of instability which reflects the stability level of an individual queue. Through comparing the degrees of instabilities of two queues, we give conditions under which two queues are as stable as each other and, one queue is more (less) stable than the other. We also generalize previous results regarding to stability ranking or stability ordering, and accommodate them into our general form.