Group:Algorithms, Complexity and Cryptography Group
Title: Subexponential lower bounds for randomized pivoting rules for the simplex algori
Speaker: Thomas Hansen University
Time: 2012-04-13 14:00-2012-04-13 15:00
Venue: FIT 1-222

Abstract:

 The simplex algorithm is among the most widely used algorithms for solving linear programs in practice. Most deterministic pivoting rules are known, however, to need an exponential number of steps to solve some linear programs (Klee-Minty examples). No non-polynomial lower bounds on the expected number of steps were known, prior to this work, for randomized pivoting rules. We provide the first subexponential (i.e., of the form 2^(Omega(n^alpha)), for some alpha>0) lower bounds for the two most natural, and most studied, randomized pivoting rules suggested to date. 

Joint work with Oliver Friedmann and Uri Zwick.



Short Bio: