Enhancements on the Hyperplanes Arrangements in Mixed-Integer Programming Techniques |
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Authors: | Ionela Prodan Florin Stoican Sorin Olaru Silviu-Iulian Niculescu |
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Institution: | (1) Automatic Control Department, SUPELEC Systems Sciences (E3S), Gif sur Yvette, France;(2) Department of Engineering Cybernetics, Norwegian University of Science and Technology, Trondheim, Norway;(3) Laboratory of Signal and Systems, CNRS-SUPELEC, Gif sur Yvette, France |
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Abstract: | This paper is concerned with improvements in constraints handling for mixed-integer optimization problems. The novel element is the reduction of the number of binary variables used for expressing the complement of a convex (polytopic) region. As a generalization, the problem of representing the complement of a possibly not connected union of such convex sets is detailed. In order to illustrate the benefits of the proposed improvements, a typical control application, the control of multiagent systems using receding horizon optimization techniques, is considered. |
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