{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,5]],"date-time":"2025-10-05T04:35:31Z","timestamp":1759638931581},"publisher-location":"California","reference-count":0,"publisher":"International Joint Conferences on Artificial Intelligence Organization","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2017,8]]},"abstract":"<jats:p>We show how recently-defined abstract models of the Branch-and-Bound algorithm can be used to obtain information on how the nodes are distributed in B&amp;B search trees. This can be directly exploited in the form of probabilities in a sampling algorithm given by Knuth that estimates the size of a search tree. This method reduces the offline estimation error by a factor of two on search trees from Mixed-Integer Programming instances.<\/jats:p>","DOI":"10.24963\/ijcai.2017\/67","type":"proceedings-article","created":{"date-parts":[[2017,7,28]],"date-time":"2017-07-28T05:14:07Z","timestamp":1501218847000},"page":"473-479","source":"Crossref","is-referenced-by-count":2,"title":["Estimating the size of search trees by sampling with domain knowledge"],"prefix":"10.24963","author":[{"given":"Gleb","family":"Belov","sequence":"first","affiliation":[{"name":"Faculty of Information Technology, Monash University, Clayton, Australia"}]},{"given":"Samuel","family":"Esler","sequence":"additional","affiliation":[{"name":"Faculty of Information Technology, Monash University, Clayton, Australia"}]},{"given":"Dylan","family":"Fernando","sequence":"additional","affiliation":[{"name":"Faculty of Information Technology, Monash University, Clayton, Australia"}]},{"given":"Pierre","family":"Le Bodic","sequence":"additional","affiliation":[{"name":"Faculty of Information Technology, Monash University, Clayton, Australia"}]},{"given":"George L.","family":"Nemhauser","sequence":"additional","affiliation":[{"name":"School of Industrial and Systems Engineering, Georgia Tech"}]}],"member":"10584","event":{"number":"26","sponsor":["International Joint Conferences on Artificial Intelligence Organization (IJCAI)","University of Technology Sydney (UTS)","Australian Computer Society (ACS)"],"acronym":"IJCAI-2017","name":"Twenty-Sixth International Joint Conference on Artificial Intelligence","start":{"date-parts":[[2017,8,19]]},"theme":"Artificial Intelligence","location":"Melbourne, Australia","end":{"date-parts":[[2017,8,26]]}},"container-title":["Proceedings of the Twenty-Sixth International Joint Conference on Artificial Intelligence"],"original-title":[],"deposited":{"date-parts":[[2017,7,28]],"date-time":"2017-07-28T07:52:05Z","timestamp":1501228325000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.ijcai.org\/proceedings\/2017\/67"}},"subtitle":[],"proceedings-subject":"Artificial Intelligence Research Articles","short-title":[],"issued":{"date-parts":[[2017,8]]},"references-count":0,"URL":"https:\/\/doi.org\/10.24963\/ijcai.2017\/67","relation":{},"subject":[],"published":{"date-parts":[[2017,8]]}}}