RE: dynamic optimization

*To*: mathgroup at smc.vnet.net*Subject*: [mg35291] RE: [mg35268] dynamic optimization*From*: "DrBob" <majort at cox-internet.com>*Date*: Sat, 6 Jul 2002 05:45:23 -0400 (EDT)*Reply-to*: <drbob at bigfoot.com>*Sender*: owner-wri-mathgroup at wolfram.com

Log should have a square bracket after it, not a parenthesis, and the matching parenthesis isn't there anyway. So... we can't tell what your objective function is. That constraint doesn't appear to be a differential equation. A difference equation, maybe... or maybe not. Are S and C functions? If so, they need brackets, not parentheses. If C is a function, what is its argument in the objective function? Do you have initial conditions for S and C? If pi, w, and L are constant functions, why complicate things in the objective function and constraint equations? Is P(t) == t, or just 1? Or something else? I see W in the constraint equation, and you've defined w(t)=4. Is there a connection? In "Ct/1+..." do you mean "Ct/(1+..."? In general, I can't tell what the problem is. Bobby -----Original Message----- From: anna in the sky [mailto:annainthesky at mac.com] To: mathgroup at smc.vnet.net Subject: [mg35291] [mg35268] dynamic optimization Hi, hopefully somebody is able to help me with this (probably pretty easy ) thing: I need to do a dynamic maximization over a couple of periods, where the objective function is nonlinear, and the constraint is linear differential equation. The problem looks like this and I tried some things but dont know how to solve it actually objective function: U:= Exp[-rho*t]*Log(Ct/1+(S(t)*P-4C(t))^2 constraint: Constr:= (S(t+1)-S(t))*P(t)+C(t)= = W(t)*L(t)+pi(t)*S(t)*P where P=1 rho=0.6 pi(t)=0.03 w(t)=4 L(t)=10 the given values can actually be something else, too. We seek C and S. does anyone have an idea how to fix this? Just a idea, hint or anything, I would be more than glad :) Thanks //anna