{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

FORM_FIN - ENSC 427 Final Exam FORMULA SHEET 2007 Notation...

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

View Full Document Right Arrow Icon
ENSC 427 FORMULA SHEET 2007 Final Exam Notation: Steady-state probability of having n packets in the system Arrival rate (inverse of average interarrival time) Service rate (inverse of average service time) E ( n ) = Average number of packets in the system E ( q ) = Average number of packets waiting in queue E ( T ) = Average packet time in the system E ( w ) = Average packet waiting time in queue (does not include service time) Average service time Second moment of service time Little’s formula: For systems with blocking, Poisson distribution with parameter λ : Mean = Variance = λ Exponential distribution with parameter μ : p n = λ = μ = X = X 2 = E ( n ) = λ E ( T ) E ( q ) = λ E ( w ) E ( n ) = λ( 1 P B ) E ( T ) E ( q ) = λ( 1 P B ) E ( w ) p n = e −λ λ n n ! , n = 0 , 1 ,… P {τ ≤ s } = 1 e −μ s , s 0 Density: p (τ) = μ e −μτ Mean = 1 μ Variance = 1 μ 2 - 1 -
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
Summary of M/M/1/ system results: 1. Utilization factor (proportion of time the server is busy) 2. Probability of n packets in the system 3. Average number of packets in the system 4. Average packet time in the system 5. Average number of packets in buffer 6.
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 ]}