Encyclopedia of Operations Research and Management Science

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

BLAND'SANTICYCLING RULES

  • Saul I. Gass
  • Carl M. Harris
Reference work entry
DOI: https://doi.org/10.1007/1-4020-0611-X_78

A set of pivot rules, the application of which to linear-programming (degenerate) problems, prevents cycling in the simplex algorithm. Their basic principle is that whenever there is more than one eligible candidate in selection of the variable entering the basis, or the variable leaving the basis, the candidate with the smallest index is chosen.  Anticycling rules;  Cycling;  Degeneracy.

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