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: <email@example.com><firstname.lastname@example.org>
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...