lec22 - UCI University of California Irvine EECS 161...

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EECS 161 - Introduction to Computer Networking Scott Jordan Performance UCI University of California, Irvine A Router Model Example: long term proportion of time spent in state 0, , = 2/3 General case: 0 1 2 ) 1 π 0 ( ) i-1 i x y π i ( ) x y -- π i 1 ( ) =
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EECS 161 - Introduction to Computer Networking Scott Jordan Performance UCI University of California, Irvine A Router Model For our queue, and . Thus . In addition, is a probability distribution, so . Thus , so , and thus . Define . Then . π i ( ) x y -- π i 1 ( ) = x λ i = y μ = i π i ( ) λ μ --- π i 1 ( ) λ μ --- 2 π i 2 ( ) λ μ --- i π 0 ( ) = = = = π π i ( ) i 0 = 1 = λ μ --- i π 0 ( ) i 0 = π 0 ( ) λ μ --- i i 0 = π 0 ( ) 1 1 λ μ ------------------- 1 = = = π 0 ( ) 1 λ μ = π i ( ) 1 λ μ ( ) λ μ --- i = ρ λ μ = π i ( ) 1 ρ ( i =
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EECS 161 - Introduction to Computer Networking Scott Jordan Performance UCI University of California, Irvine A Router Model Note that is required for stability.
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  • Spring '08
  • Healey
  • Networking, Computer network, Scott Jordan

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