Polynomial algorithm for the disjoint bilinear programming problem with an acute [Articol]

Abstract

We consider the disjoint bilinear programming problem in which one of the disjoint subsets has the structure of an acute-angled polytope. An optimality criterion for such a problem is formulated and proved, and based on this, a polynomial algorithm for its solving is proposed and grounded. We show that the proposed polynomial algorithm can be efficiently used for studying and solving the boolean programming problem and the piecewise linear concave programming problem.