Abstract
In the analysis of queues and other stochastic systems it is of primary importance to know whether an existing or a proposed system is stable. Roughly speaking, a stable system will tend to some sort of equilibrium, in which the state continues to fluctuate but such measures as the (average) probability distribution of the state or the fraction of time spent in various states do not change over time. By contrast, in an unstable system such limits do not exist. More drastically, the state (e.g., the number of customers or work in a queueing system) can grow without bound when the system is unstable.
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© 1999 Springer Science+Business Media New York
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El-Taha, M., Stidham, S. (1999). Sample-Path Stability. In: Sample-Path Analysis of Queueing Systems. International Series in Operations Research & Management Science, vol 11. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-5721-0_5
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DOI: https://doi.org/10.1007/978-1-4615-5721-0_5
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-7620-0
Online ISBN: 978-1-4615-5721-0
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