A general approach to the solution of the problem of discrete programm
ing with undefined parameters in the form of intervals, based on the g
eneral principles of comparing indefinite values, is considered. This
approach reduces the problem to two analogous problems with determinis
tic parameters that are the boundaries of the intervals indicated. The
approach is presented for Boolean discrete programming, and the corre
sponding necessary and sufficient conditions for existence of a soluti
on, as well as an algorithm for its construction, are explained.