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Performance Engineering

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Let's suppose we have jobs that arrive on average every 2 seconds. ... One feature of random data is that there are many small intervals, and ... – PowerPoint PPT presentation

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Title: Performance Engineering


1
Distributions
What happens if jobs arrive randomly at a service
center?
2
Lab - You Get To See It Happen Before Your Very
Eyes!
  • This is a group lab designed to demonstrate that
    the number of random events in a particular
    interval is a Poisson distribution, and that the
    distribution of spaces between events is
    exponential.
  • Lets suppose we have jobs that arrive on average
    every 2 seconds. Then in 200 seconds, we expect
    to see 100 arrivals. Here they are

Time ?
The diamonds represent when the event occurred
during the 200 seconds. One feature of random
data is that there are many small intervals, and
relatively few large spaces between data.
3
Lab - You Get To See It Happen Before Your Very
Eyes!
  • Were going to slice up the time into 10-second
    chunks. We then want to know how many Events
    fell in each of those 20 time segments.

4
Lab - You Get To See It Happen Before Your Very
Eyes!
  • Determine the distance or separation between a
    time and the next higher time. If the distance
    is 0 ( the two times are the same ) put a tick in
    the first row of the table, if the separation is
    3, tick the interval 3 row, etc.

5
Distributions
F(t) exp(-t)
  • This is a simple exponential curve, as well as
    our Experimental Data.

6
Queueing Lingo
F(k) ( 5 / k! ) exp( -5 )
  • Example of the Poisson Probability Density
    Function.

7
Programs in Chapter 4
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