Re: equation solving

• To: mathgroup at smc.vnet.net
• Subject: [mg75238] Re: equation solving
• From: omur.tosun at gmail.com
• Date: Sat, 21 Apr 2007 23:13:20 -0400 (EDT)
• References: <f07a35\$4bn\$1@smc.vnet.net><f09hbm\$1cu\$1@smc.vnet.net>

```sorry for the previous massage ....

shortly i prepare a markov availability model....and i'm a bit
confused, hope someone help me...

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?

i also try to give some numeric values (and using solve) to find
Lambda[in] and to estimate the behaivor of the function, but i get
error massege like inverse function using.. what am i doing wrong??

best regards...

```

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