Encyclopedia of Operations Research and Management Science

2001 Edition
| Editors: Saul I. Gass, Carl M. Harris

Lexicographic ordering

  • Saul I. Gass
  • Carl M. Harris
Reference work entry
DOI: https://doi.org/10.1007/1-4020-0611-X_531

An ordering of a set of vectors based on the lexicopositive (negative) properties of the vectors. For example, the sequence of vectors {xv1,..., xvq} is ordered in a lexicographic sense if xvixvj is lexico-positive for i > j. Such orderings are similar to dictionary ordering of words and are used to prove finiteness of the simplex algorithm.  Cycling; Lexico-positive vector.

Copyright information

© Kluwer Academic Publishers 2001

Authors and Affiliations

  • Saul I. Gass
    • 1
  • Carl M. Harris
    • 2
  1. 1.Robert H. Smith School of BusinessUniversity of MarylandCollege PartUSA
  2. 2.School of Information Technology & EngineeringGeorge Mason UniversityFairfaxUSA