Encyclopedia of Operations Research and Management Science

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

Partial pricing

  • Saul I. Gass
  • Carl M. Harris
Reference work entry
DOI: https://doi.org/10.1007/1-4020-0611-X_737

When determining a new variable to enter the basis by the simplex method, it is somewhat computation-ally inefficient to price out all nonbasic columns, as is the way of the standard simplex algorithm or its multiple pricing refinement. The scheme of partial pricing starts by searching the nonbasic variables in index order until a set, say 5, candidate vectors has been found. These vectors are then used as possible vectors to enter the basis, as is done in multiple pricing. After the candidate set is depleted, another set is found by searching the nonbasic vectors from the point where the first set stopped its search. The process continues in this manner by searching and selecting candidate sets until the optimal solution is found. Although the total number of iterations to solve a problem usually increases, computational time is saved by this type of pricing strategy.  Simplex method.

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