Equivalent gibbs duhem law in network queue

  • Authors:
  • Sandeep Sudeep;Joseph Y.Hui

  • Affiliations:
  • Electrical Engineering, Arizona State University, Tempe, AZ;Electrical Engineering, Arizona State University, Tempe, AZ

  • Venue:
  • NETWORKING'05 Proceedings of the 4th IFIP-TC6 international conference on Networking Technologies, Services, and Protocols; Performance of Computer and Communication Networks; Mobile and Wireless Communication Systems
  • Year:
  • 2005

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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.