Need help to plot equation
Asked by Idriss on 9 Aug 2012
Latest activity Commented on by Matt Fig on 10 Aug 2012
Hello, can someone help me to plot this equation?
T_b^*=\sum_{i=0}^n r_i \pi_i = \sum_{i=1}^{n} p_b(i) \pi_i + \pi_0
with:
p_b(i)= \frac{ (\lambda/\mu)^i / i!)}{\sum_{j=0}^i (\lambda/ \mu)^j / j! }
and
\pi_0=[\sum_{i=0}^n \frac{1}{i!}(\tau/\gamma)^i]^{-1}\; \hspace{1.5cm} \pi_i= ((\tau/\gamma)^i / i!)\pi_0\;
Many thank in advance.
Idr
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1 Answer
Answer by Idriss on 10 Aug 2012
Edited by Walter Roberson on 10 Aug 2012
Thank for your comment Wayne, following the parameters : \tau=1/24, \gamma=1\1000, \lambda=49 and \mu=0.5
But in Matlab documentation, It seems that it possible to use the symbolic summation and then convert to double to plot the Tb. For exemple:
Tb1=symsum(ro^i*ro2^i/(sym('i!')*sym('i!')*symsum(ro2^j/sym('j!'),j,0,sym('i'))*symsum(ro^i/sym('i!'),i,0,10)),i,0,10);
What you think about it?
1 Comment
Direct link to this comment:
http://www.mathworks.co.uk/matlabcentral/answers/45612#comment_93683
You don't tell us the value of \tau, or the value of \gamma, or the value of \lambda or \mu. We can just plug values in for those, but the major issue is what is n in your first sum, is n an index that varies so that you get something like a cumulative sum? (a vector). Otherwise, you just have a scalar, T_b^* is just a number. And what do you want to plot, what as a function of what?