ABSTRACT
This chapter provides a historical overview about the different optimisation models applied in the field of Land Use–Transport Interaction Models (LUTI) modelling. Optimisation models are applied in the field of LUTI modelling to help solve urban planning problems and make predictions about the location of activities and their spatial interaction. The first LUTI optimisation model was developed by Herbert and Stevens and gave an optimal distribution of residential land uses in accordance with the theory of Alonso. Technique for Optimum Placement of Activities into Zones Model was developed in the 1970s to provide the town planner with a group of alternative solutions using mathematical techniques to determine land use patterns in urban areas. TOPAZ is a linear programming model that considers the urban system to be organised by the interaction of different components such as a group of activities, the suitable zones for locating those activities and the routes that interconnect them.
