Lecture13_2up

# Lecture13_2up - 1 Purdue University ECE ECE-547 547...

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Unformatted text preview: 1 Purdue University ECE ECE-547 547 Introduction to Computer Introduction to Computer Communication Networks Communication Networks Instructor: Instructor: Xiaojun Xiaojun Lin Lin Lecture 13 Lecture 13 Purdue University Birth Birth-death Models death Models iv. Discouraged Arrivals – Packet arrivals depend on the queue length – Exponential inter-arrival time – Exponential service time – Rudimentary Flow Control (arrivals depend on state of the queue) λ n μ ⎪ ⎭ ⎪ ⎬ ⎫ = + = μ μ λ λ n n n 1 Birth-Death Parameters 2 Purdue University Discouraged Arrivals Discouraged Arrivals ¾ The corresponding STD: 1 2 n n+1 λ /1 λ /2 λ /3 λ /n μ μ μ μ 1 1 + = + n n P P n μ λ Purdue University Discouraged Arrivals Discouraged Arrivals ¾ Therefore, ∑ ∑ ∞ = − − = ⇒ = = ∴ = − = ⇒ = ⇒ 2 2 2 1 1 ! 1 ! ! ) 1 ( n n n n n n n n n n n P n P P n P P n P n n P P n P ρ ρ μ λ μ λ μ λ 3 Purdue University Discouraged Arrivals Discouraged Arrivals ¾ Finally:...
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## This note was uploaded on 01/06/2010 for the course ECE 547 taught by Professor Xiaojunlin during the Spring '09 term at Purdue.

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Lecture13_2up - 1 Purdue University ECE ECE-547 547...

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