Abstract
In this study a planning model is formulated for supporting housing supply by LP (linear programming) using the Descriptive Model of household movement, which had been formulated in Part 1 and can describe household movement caused by new housing supply in a region. In developing the model existing housing statistics are utilized as much as possible for raising its operational ability. The model can calculate the optimum numbers of housing supply by housing types under several conditions. Formulating the model, first, the utility which a household can gets from its housing movement is defined, and a objective function expressing the total amount of its utility in a region is formulated by using the descriptive model of household movement. Second, the functions of several constraints which have significance in the present housing planning are formulated. They are relating to the upper limit of total amount of supplied dwellings, the total available budget and the total available building land. Applying the model for Ishikawa Prefecture, tatami units per dwelling and tatami units per person are used as utility characters, and also constraint characters indicating prefectural conditions are used, which are derived from existing statistics. Characteristics and limitations of the model are studied through simulations which calculate the optimum housing supply pattern and its change according to several combinations of constraints. As a result of this study it is concluded that the model could be applied for supporting the housing supply planning, e. g. in order to analyze existing planning or evaluate alternative plans.
