We present an algorithm for nding 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 nding the optimal partitions.
On Finding Optimal Partitions of a Measurable Space / Dall'Aglio, Marco; Legut, Jerzy; Wilczynski, Maciej. - In: MATEMATYKA STOSOWANA. - ISSN 1730-2668. - 43:2(2015), pp. 193-206. [10.14708/ma.v43i2.754]
On Finding Optimal Partitions of a Measurable Space
DALL'AGLIO, MARCO;
2015
Abstract
We present an algorithm for nding 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 nding the optimal partitions.
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