Exponential Bounds with an Application to Call Admission

  • Authors:
  • Y. Liu;P. Nain;D. Towsley

  • Affiliations:
  • -;-;-

  • Venue:
  • Exponential Bounds with an Application to Call Admission
  • Year:
  • 1994

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Abstract

In this paper we develop a framework for computing upper and lower bounds of an exponential form for a large class of single resource systems with non-renewal inputs. Specifically, the bounds are on quantities such as backlog, queue length, and response time. The exponential upper bound is shown to exist if the process describing the system is stable. The optimum decay rate for the bound is obtained by establishing a large deviation result for this process. The paper concludes with several applications including admission control to multimedia systems such as high speed networks and video servers.