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Transmission system, method and apparatus for scheduling transmission links and determining system stability based on dynamic characteristics of a transmission medium

  • US 6,314,084 B1
  • Filed: 12/05/1997
  • Issued: 11/06/2001
  • Est. Priority Date: 12/05/1997
  • Status: Expired due to Fees
First Claim
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1. A method of maintaining stability in a transmission system wherein a plurality of links are transmitting over a resource, comprising the steps of:

  • modeling characteristics of a transmission medium in which the transmission system operates;

    determining from the characteristics an arrival rate at which the system may maintain stability;

    wherein the determining step is achieved by an approximation of the following expression;

    λ

    0
    =(R-1λ

    n-1


    (R-1

    B
    )


    B
    )


    1
    ,where;

    R represents an arrival rate to each link in the system, B represents the characteristics of the transmission medium, and λ

    0 and λ

    n−

    1
    each represent eigenvalues obtained from their respective matrices; and

    limiting the arrival rate of new transmission to the system in accordance with the determined arrival rate.

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