ABSTRACT

All the models considered so far describe and predict the location of activities to small areas and the interaction between these areas. Optimizing models, however, try to perform a similar function but at the same time reach an optimal solution. Since there are only two zones with one activity this linear programming problem can be solved graphically. All linear programming problems can be reformulated as dual problems involving the same data but with new variables. There will be as many variables in the dual problem as there are constraints in the original or primal problem, other than non-negative constraints. This type of linear programming model was proposed by Schlager for the land use transportation study of south-east Wisconsin. Linear programming also assumes the use of continuous variables which means that the optimal solution can contain parts of a square metre.