equation solving in a markov model

*To*: mathgroup at smc.vnet.net*Subject*: [mg75204] equation solving in a markov model*From*: omur.tosun at gmail.com*Date*: Fri, 20 Apr 2007 00:41:04 -0400 (EDT)

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...