[SciPy-User] Sample queueing analysis

Mohan Radhakrishnan mohanr@fss.co...
Tue Aug 7 00:11:07 CDT 2012


Hi,

 

I am trying to learn to draw graphs for performance models. As part of
this process I have a sample problem from a technical paper "The
Operational Analysis of Queueing Network Models"

 

There are 3 componens and their visit rations and service times.

 

V1S1 = (20)(.05) = 1.00 seconds (Total CPU time is the bottleneck ) 

 

V2S2 = (11)(.08) =  .88 seconds (Total Disk time)

 

V3S3 = (8)(.04)= .32 seconds (Total Drum time)

 

These products sum to the minimal response

time of 2.2 seconds

 

M1 = Z/VISI = 20/1 = 20 terminals

 

 

Now I want to draw the graph by sending these values as inputs to a
queueing model. So if I plot terminals vs seconds the asymptote of the
response time curve should intersect

The y-axis at 20 which is M1 give above.

 

Is this type of work done using Sci-Py to solve a queueing model ? Can I
read some references ?

 

Thanks,

Mohan



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