On Semi-discrete Monge–Kantorovich and Generalized Partitions

Gershon Wolansky ()
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Gershon Wolansky: Technion

Journal of Optimization Theory and Applications, 2015, vol. 165, issue 2, No 3, 359-384

Abstract: Abstract We address the question of characterizing the set of points in $$m$$ m dimensional space for which there exists a partition of a given measure space into $$m$$ m essentially disjoint sets satisfying prescribed integral conditions. In addition, we discuss some optimization problems on this set of partitions. The relation of this problem to the semi-discrete version of optimal mass transportation is discussed as well.

Keywords: Optimal transport; Monge–Kanotrovich; Partitions (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/s10957-014-0661-0

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