A Review on Mathematical Programming Formulations for Transportation and Land Use Models

Abstract

Mathematical programming formulations will most likely produce the next generation of transportation, location, and land use models. Trip asslgnment and population placement are both referred to as op t1m1zat lori problems in mathematlca and programming formulatlons in the examples given. First, a trip assignment model with constant llnh costs is shown, and then the same model is changed to highlight the flow-dependent link cost formulatlon's ramifications. For the same reason, a simple, linear model of population distribution has been turned into a complex, nonlinear model that takes into account the varying tastes and perceptions among people who live in a certain area. A nonlinear programmlngformulaton that solves both the trip assignment and the location issue at the same time is then shown. The theoretical merits and practical disadvantages of this approach are briefly mentioned in the paper's concluding section. These strategies may be used in applied planning systems if they can be used to solve practical issues.