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[02087] Best Approximation in Euclidean Space: A Supply Distribution Efficiency Model

  • Session Time & Room : 2C (Aug.22, 13:20-15:00) @F411
  • Type : Contributed Talk
  • Abstract : In this paper, we developed a mathematical model for supply distribution efficiency using inverse best approximation by considering Euclidean distance in a Euclidean space. Given a sequence $\langle S_i\rangle_{i=1}^k$ of closed convex subsets of a Euclidean space $E$ and a sequence of natural numbers $\langle n_i\rangle_{i=1}^k$, we determined the best location of a convex set $S$ in $E$ such that the Euclidean distance from $S$ to $S_i$ is at most $n_i$ for each $i\in \{1,2,\ldots,k\}$.
  • Classification : 51K05, 41A45, 41A29
  • Format : Talk at Waseda University
  • Author(s) :
    • Rosalio Jr Gaid Artes (Mindanao State University - Tawi-Tawi College of Technology and Oceanography)