Encyclopedia of Operations Research and Management Science

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

Column generation

  • Saul I. Gass
  • Carl M. Harris
Reference work entry
DOI: https://doi.org/10.1007/1-4020-0611-X_125

A technique that permits solution of very large linear-programming problems by generating the columns of the constraint matrix only when they are needed. It is typically employed when the constraint matrix is too large to be stored, or when it is only known implicitly. Column generation, as imbedded in the revised simplex method, has been used to solve the trim problem and other such problems in which the columns are formed from combinatorial considerations. See Trim problem.

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