Abstract

In this paper, we present a differential evolution algorithm with mixed strategy to solve the single machine total weighted tardiness problem. A coding rule is developed to enable the continuous differential evolution algorithm to be applied to all classes of sequencing problems, and a mixed strategy with GOBL strategy and chaotic operator is embedded in the differential evolution algorithm. The computational results show that the differential evolution algorithm is able to find the optimal or best-known solutions on a range of widely used benchmarks from the OR library, and the mixed strategy is a significant help in improving the efficiency and quality of the algorithm, especially in the 100 job difficult instance.

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