@Article{JCM-23-93, author = {Si-Ming Huang}, title = {Expected Number of Iterations of Interior-Point Algorithms for Linear Programming}, journal = {Journal of Computational Mathematics}, year = {2005}, volume = {23}, number = {1}, pages = {93--100}, abstract = {
We study the behavior of some polynomial interior-point algorithms for solving random linear programming (LP) problems. We show that the expected and anticipated number of iterations of these algorithms is bounded above by $O(n^{1.5})$. The random LP problem is Todd's probabilistic model with the Cauchy distribution.
}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8799.html} }