A Minimax Facility-Configuration Problem Involving Lattice Points

Richard L. Francis
Additional contact information
Richard L. Francis: The University of Florida, Gainesville, Florida

Operations Research, 1973, vol. 21, issue 1, 101-111

Abstract: This paper considers the problem of assigning n facilities, or departments, to locations so that the maximum of the rectilinear distances between departments is minimized. The locations are considered to be points in a lattice. It develops a simple explicit expression for the minimum value of the objective function for all values of n ; this expression has as a corollary a necessary and sufficient condition for an assignment, or a configuration, to be minimax; the paper also develops a simple geometrical procedure for constructing minimax configurations. Some related problems are also examined briefly.

Date: 1973
References: Add references at CitEc
Citations:

Downloads: (external link)
http://dx.doi.org/10.1287/opre.21.1.101 (application/pdf)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:inm:oropre:v:21:y:1973:i:1:p:101-111

Access Statistics for this article

More articles in Operations Research from INFORMS Contact information at EDIRC.
Bibliographic data for series maintained by Chris Asher ().