Continuous approximation formulas for location problems

Abstract

The majority of research in the continuous approximation paradigm has emphasized routing problems, such as the travelling salesman problem and the vehicle routing problem. This article instead focuses on continuous approximation formulas for problems involving location, specifically the ‐medians, ‐dispersion, and generalized minimum spanning tree problems. We contribute bounds for constants that describe the growth rate of the cost of these problems as the number of demand points becomes large, and conduct computational experiments that verify that they provide a good approximation in practice.

Document Details

Document Type
Pub Defense Publication
Publication Date
Apr 29, 2022
Source ID
10.1002/net.22099

Entities

People

  • Bo Jones
  • John Gunnar Carlsson

Organizations

  • National Science Foundation of Sri Lanka
  • Office of Naval Research
  • United States Department of Transportation
  • University of Southern California

Tags

Readers

  • Operations Research