Efficient Solutions in Multiobjective Tree Network Location Problems.

Abstract

Much of the literature involving locating one or more new facilities on a network is concerned with minimizing a single objective function subject to constraints on the location variable. In this paper, we consider the problem of locating a single facility on a tree network where there is more than one objective function to be minimized. A constructive method is given for finding the efficient set of solutions when the objective functions are convex and the constraints define a convex set. In addition, an example problem is provided. We also consider the case where the feasible region is not a convex set. (Author)

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1976
Accession Number
ADA025289

Entities

People

  • Timothy J. Lowe

Organizations

  • University of Florida

Tags

DTIC Thesaurus Topics

  • Algebra
  • Buildings And Structures
  • Convex Sets
  • Humanities
  • Literature

Fields of Study

  • Mathematics

Readers

  • Graph Algorithms and Convex Optimization.
  • Robotics and Automation.