Originally posted by: hzy_cims

My optimization problem has high-power variables, such as the fourth power of x (power(x,4)), both in obj and constraints. So can Cplex solve this kind of problem ? Or is there any way to transform the optimization to make it interpreted by Cplex expression.
Thanks !
#CPLEXOptimizers
#DecisionOptimization

Originally posted by: SystemAdmin

> hzy_cims wrote:
> My optimization problem has high-power variables, such as the fourth power of x (power(x,4)), both in obj and constraints. So can Cplex solve this kind of problem ?

In general, no.

> Or is there any way to transform the optimization to make it interpreted by Cplex expression.

I think that under certain circumstances you can substitute variables in a way that reduces all expression to quadratics of the correct form (second order cone constraints, I suppose). There is no general recipe for reformulating a model with higher-than-quadratic polynomials into something CPLEX is built to handle.

Paul

Mathematicians are like Frenchmen: whenever you say something to them, they translate it into their own language, and at once it is something entirely different. (Goethe)
#CPLEXOptimizers
#DecisionOptimization

Originally posted by: hzy_cims

Thank you for your kindly help, I'll transform variables into no higher than quadratic.
#CPLEXOptimizers
#DecisionOptimization