Lecture 12

# In generic terms the term customer is used rather

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: ink which can be obtained once you know the average arrival rate and the average service rate. Remark: An important assumption about the M/M/1 is that the input population is considered to be inﬁnite. In generic terms, the term ‘customer’ is used rather than packets since such models are applicable in other areas besides communication networks. We have discussed so far delay results for the average value only. How about 90-th percentile value? For M/M/1, we have the following: ln10: 90-th percentile queueing delay = max fT ln10  0g: 90-th percentile system delay = T Example # 1: Suppose average arrival rate () is 100 pps, and the service rate () is 200 pps, then the average number of packets in the system is N = = ,  = 100=200 , 100 = 1: The following is a table for average number in the system and the average delay (in the system) for different values of  and  (Note the impact on delay when  and  are scaled):   N 100 200 1 10 ms 150 200 3 20 ms 175 200 7 40 ms 1000 2000 1...
View Full Document

## This document was uploaded on 03/19/2014 for the course CS 6030 at Western Michigan.

Ask a homework question - tutors are online