{"42289":{"#nid":"42289","#data":{"type":"event","title":"A Polyhedral Study of the Mixed Integer Cut","body":[{"value":"\u003Cp\u003E\u003Cstrong\u003ETITLE:\u003C\/strong\u003E A Polyhedral Study of the Mixed Integer Cut\n\u003C\/p\u003E\n\u003Cp\u003E\u003Cstrong\u003ESPEAKER:\u003C\/strong\u003E Steve Tyber\n\u003C\/p\u003E\n\u003Cp\u003E\u003Cstrong\u003EABSTRACT:\u003C\/strong\u003E\n\u003C\/p\u003E\n\u003Cp\u003EIn 1969, Gomory introduced the master group polyhedron for pure integer programs and derives the mixed integer cut (MIC) as a facet of a special family of these polyhedra. We study the MIC in this framework, characterizing both its facets and extreme points; next, we extend our results under mappings between group polyhedra; and finally, we conclude with related open problems.\n\u003C\/p\u003E\n\u003Cp\u003ENo prior knowledge of algebra or the group relaxation is assumed. Terminology will be introduced as needed.\n\u003C\/p\u003E\n\u003Cp\u003EThis is a joint work with Prof. Ellis Johnson.\n\u003C\/p\u003E\n\u003Cp\u003EThis is a joint ACO\/DOS seminar.\u003C\/p\u003E","summary":null,"format":"limited_html"}],"field_subtitle":"","field_summary":[{"value":"A Polyhedral Study of the Mixed Integer Cut","format":"limited_html"}],"field_summary_sentence":[{"value":"A Polyhedral Study of the Mixed Integer Cut"}],"uid":"27187","created_gmt":"2009-10-12 20:16:11","changed_gmt":"2016-10-08 01:46:48","author":"Anita Race","boilerplate_text":"","field_publication":"","field_article_url":"","field_event_time":{"event_time_start":"2009-09-09T13:00:00-04:00","event_time_end":"2009-09-09T14:00:00-04:00","event_time_end_last":"2009-09-09T14:00:00-04:00","gmt_time_start":"2009-09-09 17:00:00","gmt_time_end":"2009-09-09 18:00:00","gmt_time_end_last":"2009-09-09 18:00:00","rrule":null,"timezone":"America\/New_York"},"extras":[],"groups":[{"id":"1242","name":"School of Industrial and Systems Engineering (ISYE)"}],"categories":[],"keywords":[{"id":"4987","name":"MIC"}],"core_research_areas":[],"news_room_topics":[],"event_categories":[{"id":"1795","name":"Seminar\/Lecture\/Colloquium"}],"invited_audience":[],"affiliations":[],"classification":[],"areas_of_expertise":[],"news_and_recent_appearances":[],"phone":[],"contact":[{"value":"\u003Cstrong\u003EAnita  Race\u003C\/strong\u003E\u003Cbr \/\u003EH. Milton Stewart School of Industrial and Systems Engineering\u003Cbr \/\u003E\u003Ca href=\u0022http:\/\/www.gatech.edu\/contact\/index.html?id=ar9\u0022\u003EContact Anita  Race\u003C\/a\u003E","format":"limited_html"}],"email":[],"slides":[],"orientation":[],"userdata":""}}}