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MathGroup Archive 2007

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Re: equation solving

  • To: mathgroup at smc.vnet.net
  • Subject: [mg75233] Re: equation solving
  • From: omur.tosun at gmail.com
  • Date: Sat, 21 Apr 2007 23:10:46 -0400 (EDT)
  • References: <f07a35$4bn$1@smc.vnet.net>

Sorry for my fault..

a = Lambda[d]/(Lambda[d] + Lambda[in]);

P[0, 0]  = 1/(k + (Lambda[in] / Mu[in]) * (k - 1) +
                        (Lambda[in] / Mu[m]) * (k - 1) +
                         a* ((1 - a^(n - k)) / (1 - a)) +
              (Lambda[in] / Mu[in])* a * ((1 - a^(n -k)) / (1 - a)) +
              (Lambda[in] / Mu[M]) * a * (( 1 - a^(n -k)) / (1 - a)) +
               (Lambda[d] / Mu[D]) * a^(n - k));

Availability (A)  = P[0,0]*(k + (a * (1-a^(n-k))))


>
> i want to find the optimal Lambda[in] which max. the availability..

is there any way to solve without giving any numerical values? i use
D[A, Lambda[in]]
> but without numerical values i couldn't achieve any solution
>
> and i want to plot A-Lambda[in] from the equation, what should i do for it?
>
> best regards...



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