讨论组:算法、复杂性及密码组
标题:Subexponential lower bounds for randomized pivoting rules for the simplex algori
演讲人: Thomas Hansen University
时间: 2012-04-13 14:00-2012-04-13 15:00
地点:FIT 1-222

内容:

 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.



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