Groups | Search | Server Info | Keyboard shortcuts | Login | Register [http] [https] [nntp] [nntps]

Groups > comp.programming.threads > #922

Re: About the availability and efficiency...

Cross-posted to 2 groups.

Show all headers | View raw

Hello again,



I have also corrected a typo in my other page about a jackson network 
problem...

Here it is:

http://pages.videotron.com/aminer/ParallelGaussSeidel/jackson1.htm




Thank you.
Amine Moulay Ramdane


"aminer" <aminer@videotron.ca> wrote in message 
news:jqh0bs$tv6$1@dont-email.me...
> Hello,
>
> I have corrected an error in my page about the availability and
> efficiency, the utilization is equal to the arrival rate divided by
> the servive rate, not the inverse..
>
> And here is the part that i have corrected:
>
> As you have noticed, i have finally arrived to the following
> mathematical model of our Jackson network that model an Enterprise
> website:
>
>
> T = Ni /A = (Nn + Ns + Nc) /A
> = (((A/Ss)/n) / (1 -((A/Ss)/n)) + (A/Sn) / (1 -(A/Sn))
> + (A/Sc) / (1 -(A/Sc))) / A
>
>
>
> T: is the average response time..
>
>
>
> So read it carefully an you will notice that this mathematical
> model also can simulate and predict an intranet website behavior
> or an internet website..
>
>
>
> First look at the first factor ((A/Ss)/n) / (1 -((A/Ss)/n))
> is equal to (A/((Ss x n) - A) in our mathematical model,
> as you have noticed as n (number of servers) grows
> this will make the denominator grow and this will make
> (A/((Ss x n) - A) smaller, that's good for the response time...
>
>
> Now let's look at the other factors in this mathematical
> model:
>
>
>
> IF the system is an Intranet, and for example the local
> area network Sn is faster than the multiserver, that means:
>
>
> We have Sn >> Ss, and that means => Sn /A >> Ss /A => that the
> Knee in the server side can be reached more quickly than the
> Knee in the network node of our Jackson network, so that
> the bottleneck becomes the server node.
>
>
> In the other hand if:
>
>
>
> Ss >> Sn => Ss /A >> Sn / A => the Knee in the M/M/1 network
> node can be reached more quickly, so that the network node in
> the Jackson network becomes the bottleneck.
>
>
>
> Please read more on my page:
>
> http://pages.videotron.com/aminer/efficiency_availability.htm
>
>
>
> Thank you.
> Amine Moulay Ramdane.
>
>
>
>
> 

Back to comp.programming.threads | Previous | Next — Previous in thread | Find similar | Unroll thread

Thread

About the availability and efficiency... "aminer" <aminer@videotron.ca> - 2012-06-03 20:43 -0500
  Re: About the availability and efficiency... "aminer" <aminer@videotron.ca> - 2012-06-03 20:56 -0500

csiph-web