Scholarlink

<p>This paper presents a continuous approximation model for determining the number and size of finite-size facilities considering their attractiveness. The attractiveness of a facility is expressed as a function of the area of the facility and the distance to the facility. Analytical expressions for the distribution of attractiveness are derived for grid and random patterns of circular facilities. The analytical expressions demonstrate how the number and size of facilities affect the attractiveness in a region. A bi-objective problem maximizing the average attractiveness and minimizing the standard deviation of attractiveness is then considered. The average is a criterion of efficiency, whereas the standard deviation is a criterion of equity. The result shows that there exists a tradeoff between them and that both cases of a few large facilities and many small facilities can be Pareto optimal.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Continuous approximation model for the number and size of circular facilities with attractiveness

  • 期刊论文

  • 发表日期：

    2026年1月31日

查看全文
  • Masashi Miyagawa

摘要

This paper presents a continuous approximation model for determining the number and size of finite-size facilities considering their attractiveness. The attractiveness of a facility is expressed as a function of the area of the facility and the distance to the facility. Analytical expressions for the distribution of attractiveness are derived for grid and random patterns of circular facilities. The analytical expressions demonstrate how the number and size of facilities affect the attractiveness in a region. A bi-objective problem maximizing the average attractiveness and minimizing the standard deviation of attractiveness is then considered. The average is a criterion of efficiency, whereas the standard deviation is a criterion of equity. The result shows that there exists a tradeoff between them and that both cases of a few large facilities and many small facilities can be Pareto optimal.