eprintid: 3643 rev_number: 7 eprint_status: archive userid: 69 dir: disk0/00/00/36/43 datestamp: 2017-01-26 14:36:39 lastmod: 2017-01-26 14:36:39 status_changed: 2017-01-26 14:36:39 type: conference_item succeeds: 3546 metadata_visibility: show creators_name: Takapoui, Reza creators_name: Mohele, Nicholas creators_name: Boyd, Stephen creators_name: Bemporad, Alberto creators_id: creators_id: creators_id: creators_id: alberto.bemporad@imtlucca.it title: A Simple Effective Heuristic for Embedded Mixed-Integer Quadratic Programming ispublished: pub subjects: QA75 divisions: CSA full_text_status: none monograph_type: working_paper pres_type: paper abstract: In this paper we propose a fast optimization algorithm for approximately minimizing convex quadratic functions over the intersection of affine and separable constraints (i.e., the Cartesian product of possibly nonconvex real sets). This problem class contains many NP-hard problems such as mixed-integer quadratic programming. Our heuristic is based on a variation of the alternating direction method of multipliers (ADMM), an algorithm for solving convex optimization problems. We discuss the favorable computational aspects of our algorithm, which allow it to run quickly even on very modest computational platforms such as embedded processors. We give several examples for which an approximate solution should be found very quickly, such as management of a hybrid-electric vehicle drivetrain. Our numerical experiments suggest that our method is very effective in finding a feasible point with small objective value; indeed, we see that in many cases, it finds the global solution. date: 2015 date_type: published publisher: IEEE pages: 20 event_title: American Control Conference (ACC) 2016 event_location: Boston event_dates: July 6-8, 2016 event_type: conference id_number: 10.1109/ACC.2016.7526551 institution: IMT Institute for Advanced Studies Lucca refereed: TRUE isbn: 978-1-4673-8681-4 issn: 2378-5861 book_title: American Control Conference (ACC), 2016 official_url: https://doi.org/10.1109/ACC.2016.7526551 citation: Takapoui, Reza and Mohele, Nicholas and Boyd, Stephen and Bemporad, Alberto A Simple Effective Heuristic for Embedded Mixed-Integer Quadratic Programming. In: American Control Conference (ACC) 2016, July 6-8, 2016, Boston ISSN 2378-5861. ISBN 978-1-4673-8681-4. (2015)