Mittagsseminar (in cooperation with A. Steger, D. Steurer and B. Sudakov)

Date and Time: Thursday, March 18, 2010, 12:15 pm

Duration: This information is not available in the database

Location: OAT S15/S16/S17

Speaker: Andrea Francke

A Quasioptimum for Linear Programs (Master's Thesis Presentation)

By a "quasioptimum", we denote a generalized notion of an optimum for a linear program that also is defined when the underlying program is unbounded or infeasible. It is intended to share some of the important properties of true optima of bounded and feasible linear programs. Such a quasioptimum might permit a simpler and more uniform treatment of solutions to linear programs when results from linear programming are used as building blocks in combinatorial proofs or algorithms. The specific quasioptimum I defined in my master's thesis is based on work by Gärtner and Schurr [1], who relate linear programming with unique sink orientations (USOs). In my talk, I am going to say more about the motivation behind my work, about the quasioptimum defined in my thesis, and its strenghts and weaknesses.

[1] Gärtner, B. and Schurr, I. 2006. Linear programming and unique sink orientations. In Proceedings of the Seventeenth Annual ACM-SIAM Symposium on Discrete Algorithms (Miami, Florida, January 22 - 26, 2006). SODA '06. ACM, New York, NY, 749-757. DOI

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