This thesis focuses on several aspects of data perturbation for Linear Programming. Classical questions of degeneracy and post-optimal analysis are given a unified presentation, in a view of new interior point methods of linear programming. The performance of these methods is compared to the simplex algorithm; interior point methods are shown to alleviate some difficulties of representation and solution of linear programs. An affine scaling algorithm is implemented in conjunction with a simple rounding heuristic to asses the benefit of interior point trajectories to provide approximate solutions of linear integer programming.
Identifer | oai:union.ndltd.org:uottawa.ca/oai:ruor.uottawa.ca:10393/6709 |
Date | January 1994 |
Creators | Karamalis, Constantinos. |
Contributors | Thizy, Jean-Michel, |
Publisher | University of Ottawa (Canada) |
Source Sets | Université d’Ottawa |
Detected Language | English |
Type | Thesis |
Format | 198 p. |
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