Enhancements on the Hyperplanes Arrangements in Mixed-Integer Programming Techniques

Ionela Prodan (), Florin Stoican (), Sorin Olaru () and Silviu-Iulian Niculescu ()
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Ionela Prodan: SUPELEC Systems Sciences (E3S)
Florin Stoican: Norwegian University of Science and Technology
Sorin Olaru: SUPELEC Systems Sciences (E3S)
Silviu-Iulian Niculescu: CNRS-SUPELEC

Journal of Optimization Theory and Applications, 2012, vol. 154, issue 2, No 12, 549-572

Abstract: 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.

Keywords: Mixed integer programming (MIP); Not convex constraints; Hyperplane arrangements; Cell merging (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s10957-012-0022-9

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