{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Lecture11 - Birth-death Models ECE-CSE 861 Introduction to...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
1 ECE & CSE ECE-CSE 861: Introduction to Computer Communication Networks Ness B. Shroff ECE & CSE Lecture 11 ECE & CSE Birth-death Models iii. M-server example: M/M/m system > = = = m n m m n n n n ; ,... 2 , 1 ; μ μ μ λ λ Poisson( λ ) Exp( μ ) 1 2 m . . ECE & CSE Birth-death process State transition diagram for the m-server example: 0 1 2 m m+1 λ λ λ λ μ 2 μ 3 μ m μ Better to solve by writing balance equations. Try it for Homework. ECE & CSE Example B-D systems 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
Background image of page 1

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

View Full Document Right Arrow Icon
2 ECE & CSE Discouraged Arrivals The corresponding STD: 0 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 ECE & CSE Discouraged Arrivals Therefore, = = = = = = = 0 0 0 0 2 2 2 1 1 !
Background image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}