Sentence examples for strengthen the formulation from inspiring English sources

We then formulate the problem as a mixed integer linear program, and incorporate valid inequalities to strengthen the formulation.

Conceptual use of research results is made when certain concepts, theories or perspectives developed by research serve to strengthen the formulation of an already made decision [ 10, 12].

This study helps strengthen the formulation of cross-cultural screening tools, supporting the use of a measure of social isolation and contraindicating the use of demographic or medical data beyond self-identified religiosity/spirituality.

We propose two polynomial-size mixed integer linear programming formulations for the problem and a family of valid inequalities to strengthen the formulations.

By using strengthening techniques and the analysis of small polytopes related to the problem formulation, we strengthen the initial formulation by tightening some initial constraints and by adding valid inequalities.

In Section 3, we present the techniques to strengthen the problem formulation.

To reduce the complexity in obtaining the optimal solution, the method of lift-and-project as presented in [12] is applied to strengthen the problem formulation.

However, because of the computational complexity involved in this approach, we use the method of lift-and-project [12] to strengthen the problem formulation and thus reduce the integrality gap between the IP and its linear relaxation.

The following two inequalities can be applied to strengthen the problem formulation in the case where for ψ, a function with the property ψ (d ) = 0 for d > d max with some d max > 0 (e.g., a step function of the type (1)) is used.

A novel set of geometric constraints allows for the implicit generation of clusters, and several valid inequalities are introduced to strengthen the pricing subproblem formulation.

An efficient column generation technique to solve the linear programming relaxation is proposed, and a valid inequality is used to strengthen the integer programming formulation.