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.

Economic dispatch (ED) in a microgrid is vital to supply the load demand with a minimum cost of operation. Considering the large number of discrete variables involved in ED formulation, it is common ...

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 ...

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 ...

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 ...

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 ...

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 ...

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 ...