A Facility Layout Problem Involving Lattice Points.

Abstract

The problem considered in this paper is to find a layout of a given number of identical facilities so that the total (or average) rectilinear distance between facilities is minimized. The potential locations for the facilities are lattice points in the plane, which are points whose coordinates are integers. A set of geometric properties and necessary conditions for an optimal layout configuration is derived. Based on a symmetry assumption, an implicit enumeration procedure is developed that will yield all optimal configurations together with the least total distance between facilities. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1974
Accession Number
AD0786599

Entities

People

  • Albert W. Chan
  • Richard L. Francis

Organizations

  • University of Florida

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Symmetry

Fields of Study

  • Mathematics
  • Physics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Graph Algorithms and Convex Optimization.
  • Industrial Economics