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Lecture13

# Lecture13 - ECE-547 Introduction to Computer Communication...

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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

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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 λ n n n 1 Birth-Death Parameters
Purdue University Discouraged Arrivals Discouraged Arrivals ¾ The corresponding STD: 0 1 2 n n+1 λ /1 λ /2 λ /3 λ /n μμ μ μ 1 1 + = + n n P P n μ λ

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Purdue University Discouraged Arrivals Discouraged Arrivals ¾ Therefore, ∑∑ = = = = = = = 0 0 0 0 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 μ λ
Purdue University Discouraged Arrivals Discouraged Arrivals ¾ Finally: ρ = = = = e n P e P e n n n n n !

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Lecture13 - ECE-547 Introduction to Computer Communication...

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