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Applied Intelligence

, Volume 49, Issue 2, pp 791–803 | Cite as

Quantum-inspired cuckoo co-search algorithm for no-wait flow shop scheduling

  • Haihong Zhu
  • Xuemei QiEmail author
  • Fulong Chen
  • Xin He
  • Linfeng Chen
  • Ziyang Zhang
Article
  • 138 Downloads

Abstract

Minimizing the makespan in no-wait flow shop scheduling problem (NWFSP) is widely applied in various industries. However, it is a NP-hard problem. A novel quantum-inspired cuckoo co-search (QCCS) algorithm is proposed to solve this problem. The QCCS algorithm consists of the following three phases: 1) Quantum representation of solution. 2) A quantum-inspired cuckoo search-differential evolution (QCS-DE) search. 3) Local neighborhood search (LNS) algorithm. Meanwhile, the convergence property of the QCCS algorithm is analyzed theoretically. The Taguchi experiments are further designed for the calibration of parameters. The QCCS algorithm was performed on Rec and Car benchmark instances and compared with the state-of-the-art algorithms, including GA-VNS, HGA, TS-PSO, TMIIG, where the superiority of the proposed algorithm is verified by numerical analyses. In addition, the in-depth statistical analysis demonstrates the effectiveness of the proposed algorithm. The numerical results verify that the proposed algorithm has strong optimization ability and can effectively solve the NWFSP with small and medium scale.

Keywords

Quantum-inspired cuckoo Co-search Differential evolution No-wait flow shop scheduling Makespan 

Notes

Acknowledgements

The authors would like to thank the reviewers for their useful comments and suggestions for this paper. This work was supported by the National Natural Science Foundation of China(61672039, 61572036), the University Natural Science Foundation Project of Anhui Province (1808085QF191) and the University Natural Science Research Project of Anhui Province (KJ2016A272).

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  • Haihong Zhu
    • 1
    • 2
  • Xuemei Qi
    • 1
    • 2
    Email author
  • Fulong Chen
    • 1
    • 2
  • Xin He
    • 1
    • 2
  • Linfeng Chen
    • 1
    • 2
  • Ziyang Zhang
    • 1
    • 2
  1. 1.School of Computer and InformationAnhui Normal UniversityWuhuChina
  2. 2.Anhui Provincial Key Laboratory of Network and Information SecurityWuhuChina

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