%0 Journal Article
%J Journal of Optimization Theory and Applications
%D 2012
%T Enhancements on the hyperplanes arrangements in mixed integer techniques
%A Prodan, Ionela
%A Stoican, Florin
%A Olaru, Sorin
%A Niculescu, Silviu Iulian
%X 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.
%B Journal of Optimization Theory and Applications
%V 154
%P 549-572
%G eng
%N 2
%R 10.1007/s10957-012-0022-9