Produce decision version of the problem

An optimisation problem requires minimising some function $f(x)$, where $x$ is a vector of integers. What is the corresponding decision version of the problem?

• what are the steps of creating decision versions? – Princeps Tairu Aug 22 '12 at 15:25

"Given $f(x)$, what is $\min(f(x))$?" becomes "Given $f(x)$, and $k$, decide if there is an $x$ such that $f(x)< k$?"