Abstract
High speed networks are highly dynamical systems. Large deviation techniques have been employed to characterize their loss probability. Large deviation is also used to calculate shadow prices of quality of service of a scalable network queue with respect to buffer size B, capacity C and arrival rate N.In this paper we prove that these shadow prices are independent of (B,C,N) parameters. Gibbs Duhem law of thermodynamics is described. Equivalent Gibbs Duhem type law in scalable network queue is derived. Application of equivalent network Gibbs Duhem law is discussed.
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Hui, J.Y., Karasan, E.: A Thermodynamic Theory of Broadband Networks with Applications to Dynamic Routing. IEEE J. Select. Areas Commun. 13 (1995)
Callen, H.B.: Thermodynamics and an Introduction to Thermostatics, 2nd edn. John Wiley & Sons, Chichester (1985)
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© 2005 Springer-Verlag Berlin Heidelberg
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Sudeep, S., Y.Hui, J. (2005). Equivalent Gibbs Duhem Law in Network Queue. In: Boutaba, R., Almeroth, K., Puigjaner, R., Shen, S., Black, J.P. (eds) NETWORKING 2005. Networking Technologies, Services, and Protocols; Performance of Computer and Communication Networks; Mobile and Wireless Communications Systems. NETWORKING 2005. Lecture Notes in Computer Science, vol 3462. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11422778_118
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DOI: https://doi.org/10.1007/11422778_118
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-25809-4
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