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: In this paper, a design framework based on integer linear programming is proposed for optimizing sparse array structures. We resort to binary vectors to formulate the design problem for ...

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 ...

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 ...

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 ...