Hybrid Estimation of Distribution Algorithm for Blocking Flow-Shop Scheduling Problem with Sequence-Dependent Setup Times

  • Zi-Qi Zhang
  • Bin QianEmail author
  • Bo Liu
  • Rong Hu
  • Chang-Sheng Zhang
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10954)


This paper presents an innovative hybrid estimation of distribution algorithm, named HEDA, for blocking flow-shop scheduling problem (BFSP) with sequence-dependent setup times (SDSTs) to minimize the makespan criterion, which has been proved to be typically NP-hard combinatorial optimization problem with strong engineering background. Firstly, several efficient heuristics are proposed according to the property of BFSP with SDSTs. Secondly, the genetic information of both the order of jobs and the promising blocks of jobs are concerned to generate the guided probabilistic model. Thirdly, after the HEDA-based global exploration, a reference sequence-based local search with path relinking technique is developed and incorporated into local exploitation to escape from local optima and improve the convergence property. Due to the reasonable balance between EDA-based global exploration and sequence dependent local exploitation as well as comprehensive utilization of the speedup evaluation method, the BFSP with SDSTs can be solved effectively and efficiently. Finally, computational results and comparisons with the existing state-of-the-art algorithms are carried out, which demonstrate the superiority of the proposed HEDA in terms of searching quality, robustness, and efficiency.


Estimation of distribution algorithm Blocking flow-shop scheduling problem Sequence-dependent setup times Path relinking 



The authors are sincerely grateful to the anonymous referees. This research is partially supported by the National Science Foundation of China (51665025), and the Applied Basic Research Foundation of Yunnan Province (2015FB136).


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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  • Zi-Qi Zhang
    • 1
    • 2
  • Bin Qian
    • 1
    • 2
    Email author
  • Bo Liu
    • 3
  • Rong Hu
    • 1
  • Chang-Sheng Zhang
    • 1
  1. 1.School of Information Engineering and AutomationKunming University of Science and TechnologyKunmingChina
  2. 2.School of Mechanical and Electrical EngineeringKunming University of Science and TechnologyKunmingChina
  3. 3.Academy of Mathematics and Systems ScienceChinese Academy of SciencesBeijingChina

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