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.

翻译：数字分割的算法称为值分子式。 如果输入数字增加, 目标函数( 输出中子数的最大和或最小和) 增长微弱, 则称为值分子式算法。 注意证明列表排制算法和最长处理时间算法都是数值式算法。 这与另一个算法- 多功能法- 而不是数值式算法不同。