A Minimax Location Problem on a Network.

Abstract

The authors consider a network model of a system of transportation links, with nodes representing locations of existing facilities, and study the problem of finding a new facility location on the network which minimizes the maximum of linear increasing functions of the network distances between the new facility and the existing facilities. The problem is formulated with respect to a metric space which is defined on the network, and a number of properties of the problem are developed. The properties lead to a new, efficient algorithm for solving the problem when the network is a tree, and to a new, equivalent, spanning tree problem for a general network. (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1973
Accession Number
AD0768796

Entities

People

  • Perino M. Dearing
  • Richard L. Francis

Organizations

  • University of Florida

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Applied Mathematics
  • Behavior And Behavior Mechanisms
  • Behavioral Disciplines And Activities
  • Behavioral Sciences
  • Buildings And Structures
  • Cooperation
  • Group Dynamics
  • Interdisciplinary Science
  • Mathematics
  • Operations Research
  • Transportation

Readers

  • Computer Networking
  • Operations Research

Technology Areas

  • Space