This project develops a binary integer linear programming (BILP) model to form optimal student groups on the basis of performance metrics. The objective is maximize overall group success score. Each ...

Abstract: The report is dedicated to the description of the algorithm for one of the methods for solving mixed-integer linear programming problems, which is based on binary cuttings. One of its ...

Abstract: This chapter develops an innovative relation, called the characteristic equation (CE) for solving a pure integer program (PIP) and illustrates how the characteristic equation not only finds ...

In this paper we discuss some branch and bound methods implemented in the UMPIRE mathematical programming system for solving practical integer programming problems and give details of computational ...

Equivalently, we can also say that solving a linear program amounts to maximizing a linear function defined over a polytope (preimage or A^ {-1} (leq b)). These definitions, however, do not tell us ...