On an Optimum Allocation of Workplace and Residence

Abstract

In this paper, we describe a process for obtaining an optimum allocation of workplace and residence to minimize the total commuting hours of workers. We do not consider the people whose workplaces and residences have already been determined, but try to minimize the total commuting hours for work journeys for people who will find a work place or a residence, in the future, by means of the optimum allocation of workplace and residence. Let us suppose that people who want to find work and whose residences have been determined will get a job in the area to which they can commute from their residences, in proportion to the amount of demand for workers. And also let us suppose that people whose residences have not been determined as yet will reside in the area from which they can commute to their workplaces, in proportion to the number of houses. Then, the problem of obtaining the optimum allocation of workplace and residence is amenable to a technique of linear programming. An optimum allocation of workplace and residence in Kyoto City obtained through the above procedure is presented.