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This paper proposes a novel disruptive innovation-like algorithm (DILA) for the problem of scheduling a single machine with sequence-dependent family setup times to minimize the total tardiness. The proposed algorithm is derived from Christensen’s (1997) theory of disruptive innovation. Based on this theory, a DILA is proposed, which first generates two initial populations: the mainstream market population and the emerging market population. Then, to improve the quality of solutions in the populations, three phases are created within a generation. Finally, the DILA allows the populations to evolve for several generations until the termination condition is met. Two populations constructed in DILA are to overcome the weakness of premature. In addition, two functions—the member-added function and member-removed function—implemented in DILA are added to increase the diversity. The DILA was tested on a dataset of 1440 observations from the literature. The computational results confirm that DILA is very effective.

A Novel Disruptive Innovation-Like Algorithm for Single-Machine Scheduling with Sequence-Dependent Family Setup Times