Re: equation solving in a markov model

*To*: mathgroup at smc.vnet.net*Subject*: [mg75246] Re: equation solving in a markov model*From*: dh <dh at metrohm.ch>*Date*: Sat, 21 Apr 2007 23:17:27 -0400 (EDT)*References*: <f09gse$16k$1@smc.vnet.net>

Hi, your syntax is incorrect: P(0,0) -> P[0,0]. If you changes this, D[A, Lambda[in]] will evaluate. hope this helps, Daniel omur.tosun at gmail.com wrote: > 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? >> >> best regards... > >