Geodesic
On Finding Optimal Partitions of Measurable Space
Mathematica Applicanda, Tome 43 (2015) no. 2, pp. 157-172.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

We present an algorithm for finding almost optimal partitions of the unit interval [0; 1) according to given nonatomic measures 1; 2; : : : ; n. This algorithm is based on the idea of Riemann integral and the linear programming method. We also discuss the number of cuts needed for finding the optimal partitions.
DOI : 10.14708/ma.v43i2.754
Classification : 03E02;28A12;26A42;90C05
Mots-clés : fair division, cake cutting, measurable space, optimal partitioning 
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Marco Dall’Aglio; Jerzy Legut; Maciej Wilczyński. On Finding Optimal Partitions of Measurable Space. Mathematica Applicanda, Tome 43 (2015) no. 2, pp.  157-172. doi : 10.14708/ma.v43i2.754. http://geodesic.mathdoc.fr/articles/10.14708/ma.v43i2.754/

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