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yossi sh

Solving an optimization problem with exponent and constraints

yossi sh
Posted 8 years ago
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Any Ideas how to solve the equation? Mathematica doesn't solve it. The Original maximization problem was:

FullSimplify[D[(1-(g-(Subscript[p, b](s(1+u)-x)+k)/((Subscript[p, b]-Subscript[p, a])(s*(1+u)-x)-2k))?)(-g+(pb(s(1+u)-x)+k)),g]]

I don't' know how to put the constraints, but they are

Subscript[p, b] between 0-1

Subscript[p, a] between 0-1

When I try to solve it, it doesn't solve:

Input:

    FullSimplify[Solve[-1 - ?*(-g + k + (s + s*u - x)*Subscript[p, b])*(g + (k + (s + s*u - x)*Subscript[p, b])/(2*k +
 (s + s*u - x)*(Subscript[p, a] - Subscript[p, b])))^(-1 + ?) + (g + (k + (s + s*u - x)*Subscript[p, b])/(2*k +
 (s + s*u - x)*(Subscript[p, a] - Subscript[p, b])))^? == 0, g]]

Output:

        Solve[(g + (k + (s + s*u - x)*Subscript[p, b])/(2*k + (s + s*u - x)*(Subscript[p, a] - Subscript[p, b])))^? ==
     1 + ?*(-g + k + (s + s*u - x)*Subscript[p, b])*(g +
 (k + (s + s*u - x)*Subscript[p, b])/(2*k + (s + s*u - x)*(Subscript[p, a] - Subscript[p, b])))^(-1 + ?), g]
POSTED BY: yossi sh
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FullSimplify and Solve are not optimization functions. FindMinimum and FindMaximum are numerical local optimizers and NMinimize and NMaximize are numerical global optimizers. Minimize and Maximize are symbolic global optimizers.

Also, it is better to enter code in a code sample block which makes it easier to read.
POSTED BY: Frank Kampas
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