A New Perturbation Simplex Algorithm for Linear Programming

A New Perturbation Simplex Algorithm for Linear Programming

Year:    1999

Author:    Ping-Qi Pan

Journal of Computational Mathematics, Vol. 17 (1999), Iss. 3 : pp. 233–242

Abstract

In this paper, we first propose a perturbation procedure for achieving dual feasibility, which starts with any basis without introducing artificial variables. This procedure and the dual simplex method are then incorporated into a general purpose algorithm; then, a modification of it using a perturbation technique is made in order to handle highly degenerate problems efficiently. Some interesting theoretical results are presented. Numerical results obtained are reported, which are very encouraging through still preliminary.  

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1999-JCM-9098

Journal of Computational Mathematics, Vol. 17 (1999), Iss. 3 : pp. 233–242

Published online:    1999-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    10

Keywords:    Linear programming Simplex method Perturbation Dual feasibility.

Author Details

Ping-Qi Pan