Order Acceptance and Scheduling with Sequence-Dependent Setup Times: A New Memetic Algorithm and Benchmark of the State of the Art

Lei He*, Arthur Guijt, Mathijs de Weerdt, Lining Xing, Neil Yorke-Smith

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

17 Citations (Scopus)
35 Downloads (Pure)


The Order Acceptance and Scheduling (OAS) problem describes a class of real-world problems such as in smart manufacturing and satellite scheduling. This problem consists of simultaneously selecting a subset of orders to be processed as well as determining the associated schedule. A common generalization includes sequence-dependent setup times and time windows. We propose a novel memetic algorithm for this problem, called Sparrow. It comprises a hybridization of biased random key genetic algorithm (BRKGA) and adaptive large neighbourhood search (ALNS). Sparrow integrates the exploration ability of BRKGA and the exploitation ability of ALNS. On a set of standard benchmark instances, this algorithm obtains better-quality solutions with runtimes comparable to state-of-the-art algorithms. To further understand the strengths and weaknesses of these algorithms, their performance is also compared on a set of new benchmark instances with more realistic properties. We conclude that Sparrow is distinguished by its ability to solve difficult instances from the OAS literature, and that the hybrid steady-state genetic algorithm (HSSGA) performs well on large instances in terms of optimality gap, although taking more time than Sparrow.

Original languageEnglish
Article number106102
Pages (from-to)1-15
Number of pages15
JournalComputers and Industrial Engineering
Publication statusPublished - 2019

Bibliographical note

Green Open Access added to TU Delft Institutional Repository ‘You share, we take care!’ – Taverne project https://www.openaccess.nl/en/you-share-we-take-care

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  • Adaptive large neighbourhood search
  • Biased random key genetic algorithm
  • Memetic algorithm
  • Order acceptance and scheduling
  • Sequence-dependent setup times


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