Cutting Plane Methods: Iterative procedures that add valid inequalities (cuts) to eliminate non-integral solutions in a relaxed problem without removing any feasible integer solutions.

An extension of the algorithm to the general integer programming problem in bounded variables is briefly sketched in a concluding section. OR professionals in every field of study will find ...

A zero-one integer mathematical programming formulation is proposed to solve the optimal product line selection problem. Based on individual consumer measurements from conjoint analysis, the ...

Otherwise, we solve the integer programming problem (10) via the Gurobi global solver to obtain a satisfying vertex and update m._gap. Note that an exact solution is not required; any solution ...

Assignments will include conceptual multiple-choice questions as well as problem solving assignments that will involve programming and testing algorithms. Learning Outcomes Formulate linear and ...

This project addresses a real-world integer programming problem involving phased server procurement for a company-wide intranet rollout at CommuniCorp. The challenge involves meeting growing ...

Integer programming works for airline scheduling by formulating the problem as a large-scale mixed-integer linear program (MILP), where some variables are continuous and some are integer.

This paper deals with the aircraft landing problem, which consists of determining a landing time for each aircraft within the radar range of an airport and allocating it to a runway. We propose an ...