The concept of maximum potential improvement has played an important role in computing lower bounds for single-machine scheduling problems with composite objective functions that are linear in the job completion times. We introduce a new method for lower bound computation; objective splitting. We show that it dominates the maximum potential improvement method in terms of speed and quality.

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ERIM Article Series (EAS)
Operations Research Letters
Erasmus Research Institute of Management

Hoogeveen, H., & van de Velde, S. (1992). A new lower bound approach for single-machine multicriteria scheduling. Operations Research Letters, 39–44. doi:10.1016/0167-6377(92)90060-G