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A Simple Effective Heuristic for Embedded Mixed-Integer Quadratic Programming

Takapoui, Reza and Mohele, Nicholas and Boyd, Stephen and Bemporad, Alberto A Simple Effective Heuristic for Embedded Mixed-Integer Quadratic Programming. Working Paper arXiv

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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 and control of switched-mode power converters. Our numerical experiments suggest that our method is very effective in finding a feasible point with small objective value; indeed, we find that in many cases, it finds the global solution.

Item Type: Working Paper (Working Paper)
Identification Number: arXiv:1509.08416
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Research Area: Computer Science and Applications
Depositing User: Caterina Tangheroni
Date Deposited: 04 Oct 2016 09:31
Last Modified: 04 Oct 2016 09:31
URI: http://eprints.imtlucca.it/id/eprint/3546

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