Lecture13_2up

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

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

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:...
View Full Document

{[ snackBarMessage ]}

Page1 / 8

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

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online