On cycling in the simplex method of the Transportation Problem
AbstractThis paper shows that cycling of the simplex method for the m×n Transportation Problem where k-1 zero basic variables are leaving and reentering the basis does not occur once it does not occur in the k×k Assignment Problem. A method to disprove cycling for a particular k is applied for k=2,3,34,5 and 6.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by Université catholique de Louvain, Center for Operations Research and Econometrics (CORE) in its series CORE Discussion Papers with number 2008003.
Date of creation: 01 Jan 2008
Date of revision:
Contact details of provider:
Postal: Voie du Roman Pays 34, 1348 Louvain-la-Neuve (Belgium)
Fax: +32 10474304
Web page: http://www.uclouvain.be/core
More information through EDIRC
Transportation Problem; Assignment Problem; cycling; basic solution; node; link; directed weighted tree.;
This paper has been announced in the following NEP Reports:
- NEP-ALL-2008-11-25 (All new papers)
You can help add them by filling out this form.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Alain GILLIS).
If references are entirely missing, you can add them using this form.