都市空間の最適拡大過程
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概要
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An optimal process of urban spatial growth is studied in this paper. The problem analyzed in this paper is to allocate the total increase of each urban facility, of which total amount for the whole region is given exogenously at each time, among the urban area at each time so as to maximize the total benefit obtained from these facilities over the entire planning periods. It is assumed that each facility in each area cant be moved to other areas once it is constructed. The benefit obtainable from each unit of each facility per each time is assumed to be decreasing linearly from the urban center. The demolition of each facility is ignored.By using the maximum principle in the optimal control theory, the general solution for this problem is obtained. The land price in each area to sustain this optimal growth is also obtained.
- 日本地域学会の論文