On Monotonicity of Number-Partitioning Algorithms

10/17/2021

∙

by   Erel Segal-Halevi, et al.

∙

0

∙

share

An algorithm for number-partitioning is called value-monotone if whenever one of the input numbers increases, the objective function (the largest sum or the smallest sum of a subset in the output) weakly increases. This note proves that the List Scheduling algorithm and the Longest Processing Time algorithm are both value-monotone. This is in contrast to another algorithm – MultiFit – which is not value-monotone.