I am new to mathematica. Can anyone please help me solve parametric nonlinear programming.
This is my objective function and constraints
max (x/y)[1-3(x/y)^2+2(x/y)^3]/[(1-(x/y)^3(1-x/y)]
s.t. (8+α)/2 ≤ x ≤ (13-2α)/2,
8+α ≤ y ≤ 12-α
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1 Answer
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There are some syntax issues in your input. However Maximize is the function to be used. Here is the code:
Maximize[{
(x/y) (1 - 3 (x/y)^2 + 2 (x/y)^3)/((1 - (x/y)^3 (1 - x/y))),
(8 + α)/2 <= x <= (13 - 2 α)/2,
8 + α <= y <= 12 - α}, {x, y}]
When evaluated, Mathematica does give the solution quickly, but it is a very complex solution involving Piecewise functions, inequalities, Root objects etc.. Is this the correct and complete system you want to solve ? Are you missing out any additional conditions?
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$\begingroup$ Thankyou so much sir.. i got the answer... i pointed out one error after viewing your comment.. actually i missed one constrain.. my x and y value should be strictly greater than zero.. so after adding "x >0,y>0" in the constrain part i got the right solution.. thanks a lot $\endgroup$ Commented Feb 25, 2017 at 20:40