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Integer Restrictions in RREG and LQPROG

Posted: Thu Dec 13, 2012 12:43 pm
by Ken-Cogger
Is it possible to use integer or binary restrictions on variables in the solution to an LP or QP program
such as in RREG or LQPROG?

If not possible for either: could I "trick" a QP to refelect a binary restriction on x1 by adding M*x1*(1-x1) to the
objective function with a large value of M if minimizing?

Thanks,
Ken.

Re: Integer Restrictions in RREG and LQPROG

Posted: Thu Dec 13, 2012 3:05 pm
by TomDoan
Ken-Cogger wrote:Is it possible to use integer or binary restrictions on variables in the solution to an LP or QP program
such as in RREG or LQPROG?
No. Optimization across integers or a discrete space requires completely different techniques (typically enumeration).
Ken-Cogger wrote: If not possible for either: could I "trick" a QP to refelect a binary restriction on x1 by adding M*x1*(1-x1) to the
objective function with a large value of M if minimizing?
It would seem that that a trajectory of solutions with increasing M would work. Do you have so many possibilities that simply solving for the different combinations would be too hard?