Formulation of total travel cost in a three-dimensional urban model containing compact city system

Assuming introduction of hierarchical districts and transportation

Abstract

The purpose of the present study is to formulate the total travel cost in a city with compact city system where the hierarchical district centers and transportation system are formed according to the stages of life needs. To this end, a three-dimensional urban model is formulated to deal with population density explicitly, which consists of two stages of districts centers. By adopting three-dimensional rectilinear distance metric, the total travel cost from each houses to the second stage district center, which is located at the middle of the city, is obtained in the form of the integral.