Hi,
I am facing problem in linearizing the below nonseparable function. Any suggestions for linearization of the con_1 ??
Best Regards,
Rofice
variable
c ;
positive Variable
x,y;
integer variable
z;
equation
con_1,con_2;
con_1.. x =e= y**z;
con_2.. c =e= 3*x ;
y.up = 3;
z.lo = 1;
z.up = 4;
model m /all/
solve m maximizing c using mip;
linearization of power function

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 Posts: 81
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 Location: Rosario  Argentina
Re: linearization of power function
I think you should linearize the 4 possibilities and then using a binary variable to select one.
four possibilities: y^1 (linear) y^2 (non linear and convex) y^3 (non linear and convex) and y^4 (non linear and convex)
bye
four possibilities: y^1 (linear) y^2 (non linear and convex) y^3 (non linear and convex) and y^4 (non linear and convex)
bye