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...