A simplified form of an algorithm for solving mixed integer linear programmes is presented. It is introduced by considering the geometry of the problem, from which most of the terminology originates.

The branch-and-bound method with the revised dual simplex for bounded variables is very effective in solving relatively large-size integer linear programming problems. This paper, based on the general ...

Consequently, the equivalent linear programming problem can be solved using the standard and numerically efficient method named the Sim-plex method, as opposed to mixed-integer linear programming ...

This research paper revisited the certain equivalent mixed-integer linear programming (MILP) developed by a previous study and provided a new method for solving the problem of a stochastic capacitated ...

Minimum backbone grid problems compared with selected references. In this paper, we also present a mathematical programming method in which a mixed integer linear programming model for a minimum ...

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 ...

The global optimization of integer and mixed integer non-linear problems has a lot of applications in engineering. In this paper a heuristic algorithm is developed using line-up competition and ...

A novel Mixed-Integer Linear Programming (MILP) model based on continuous time and batch volume formulation is proposed. The objective is to maximize the main pipeline utilization rate for phosphate ...

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 ...