New algorithms solve Pm||∑w_j C_j and Pm||L_max in O(p_max^{2m-2} n) time and Pm||∑w_j U_j in O(p_max^{2m-1} n^2) time by proving that optimal schedules have machine load differences bounded by 4 p_max^2 for job prefixes.
Garey and David S
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Lawler-Moore Speedups via Additive Combinatorics
New algorithms solve Pm||∑w_j C_j and Pm||L_max in O(p_max^{2m-2} n) time and Pm||∑w_j U_j in O(p_max^{2m-1} n^2) time by proving that optimal schedules have machine load differences bounded by 4 p_max^2 for job prefixes.