@article{Anderson_Hendel_Le Bodic_Viernickel_2019, title={Clairvoyant Restarts in Branch-and-Bound Search Using Online Tree-Size Estimation}, volume={33}, url={https://ojs.aaai.org/index.php/AAAI/article/view/3944}, DOI={10.1609/aaai.v33i01.33011427}, abstractNote={<p>We propose a simple and general online method to measure the search progress within the Branch-and-Bound algorithm, from which we estimate the size of the remaining search tree. We then show how this information can help solvers algorithmically at runtime by designing a restart strategy for MixedInteger Programming (MIP) solvers that decides whether to restart the search based on the current estimate of the number of remaining nodes in the tree. We refer to this type of algorithm as <em>clairvoyant</em>. Our clairvoyant restart strategy outperforms a state-of-the-art solver on a large set of publicly available MIP benchmark instances. It is implemented in the MIP solver SCIP and will be available in future releases.</p>}, number={01}, journal={Proceedings of the AAAI Conference on Artificial Intelligence}, author={Anderson, Daniel and Hendel, Gregor and Le Bodic, Pierre and Viernickel, Merlin}, year={2019}, month={Jul.}, pages={1427-1434} }